To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Mr. Dyer received 1,080 votes.
Ratio of votes = 4:3:2
Total votes = 4 + 3 + 2 = 9
Total votes cast = 2,700
Mr. Dyer's votes = (4/9) x 2,700 = 1,080 votes
The ratio of votes cast for Mr. Dyer, Ms. Frau and Mr. Borak was 4:3:2 respectively. This means that for every 9 votes cast, 4 votes were for Mr. Dyer, 3 votes were for Ms. Frau and 2 votes were for Mr. Borak. Since none of the 2,700 voters cast more than one vote, the total votes cast for each candidate would be 2,700. To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Therefore, Mr. Dyer received 1,080 votes (4/9 x 2,700).
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Evaluate the expression 5x^3 for x=2
PLS HELP!!!
Answer: 40
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
5x^2
5 ( 2 )^2 (substituting the value of x)
5 ( 2 x 2) (working out the exponents of x)
5 (4) (solving the brackets)
20
a 28-year-old man pays 118 for a one -year life insurance policy with coverage of 140,000 . if the probability that he will live through the year is 0.9993 , what is the expected value for the insurance policy?
The Insurance policy's anticipated value in this case is -20.
What is Insurance?
Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.
Given,
Man pays -118 for one year
coverage = 140000
probability = 0.9993
The method used to calculate the insurance policy's expected value is:
= Chance that he won't live to see the end of the year * Coverage value - The cost of the insurance
= (1 - 0.9993)*140,000 - 118
= -20.
In this situation, the man's insurance coverage is expected to be worth -20.
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Billy’s Crystal Stores Inc. has assets of $5,960,000 and turns over its assets 1.9 times per year. Return on assets is 8 percent. What is the firm’s profit margin (return on sales)?
The firm's profit margin is 4.17%.
To calculate the firm's profit margin, also known as the return on sales, you need to divide the firm's net income by its total sales. In this case, you are given the firm's return on assets (ROA), which is equal to the firm's net income divided by its total assets.
You can use this information to set up the following equation:
ROA = [tex]\frac{net \ income}{total \ assets}[/tex]
Plugging in the given values, you get:
8%= [tex]\frac{net \ income} {5,960,000}[/tex]
Solving for net income, you find that the firm's net income is
8% × 5,960,000 = 476,800.
Now that you know the firm's net income, you can calculate its profit margin by dividing its net income by its total sales. To do this, you need to know the firm's total sales.
You can use the firm's asset turnover ratio, which is equal to its total sales divided by its total assets, to calculate its total sales. In this case, the asset turnover ratio is 1.9, so you can set up the following equation:
asset turnover ratio = [tex]\frac{total \ sales}{total \ assets}[/tex]
Plugging in the given values, you get:
[tex]1.9 =\frac {total \ sales }{5,960,000}[/tex]
Solving for total sales, you find that the firm's total sales are
1.9 × 5,960,000 = 11,444,000.
Now that you know the firm's total sales, you can calculate its profit margin by dividing its net income by its total sales:
[tex]profit \ margin = \frac{net \ income}{total \ sales}[/tex]
[tex]= \frac{476,800}{11,444,000}= 4.17%[/tex]
Therefore, the firm's profit margin is 4.17%.
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Help with question 14
Answer:
16
Step-by-step explanation:
4 / 2
2 / 2
1
4 = 2²
16/2
8/2
4/2
2/2
1
16 = 2^4
lowest common denominator = 2^4 = 16
Step 1: Look at the first part of the word problem.
Cadence has a collection of 52 dolls that all have either blue eyes or green eyes.
Let b represent the dolls with blue eyes.
Let g represent the dolls with green eyes.
Write an equation for this part of the word problem.
The equation part of the given word problem is x+y=52 and y=x+16.
a) Let x = number of green eyed dolls
And let y = number of blue-eyed dolls
Now we are told the following:
x+y=52 → eq1
and
y=x+16 → eq2
b) substitute y = x+16 from eq2 into eq1:
x+x+16 = 52 subtract 16 from each side
x+x+16-16 = 52-16 collect like terms
2x = 36 divide each side by 2
x = 18 → number of green-eyed dolls
substitute x = 18 into equation2
y = 18+16 =34 → number of blue-eyed dolls
18+34=52
52=52
and
18+16=34
34=34
THIS PROBLEM CAN ALSO BE SOLVED USING ONE EQUATION AND ONE UNKNOWN:
Let x = Number of green-eyed dolls
Then 52-x = Number of blue-eyed dolls
Now we are told that:
x+16 = 52-x add x to and subtract 16 from each side
x+x+16-16 = 52-16-x+x collect like terms
2x=36 → same as before
x = 18.
Hence, the equation part of the given word problem is x+y=52 and
y=x+16.
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HELP MEEEEE!!! I don’t understand this! :(
Answer:
20
Step-by-step explanation:
AB = DC = 2 - (-4) = 6
AD = BC = 3 - (-1) = 4
Perimeter = sum of all sides of the rectangle = AB+DC+AD+BC =
6+6+4+4=20
More points! Please Help!
The surface area of the triangular prism is1024.99612 cm².
How do you calculate a triangular prism's surface area?
The following formula is used to determine a triangular prism's surface area:
Surface area equals (base perimeter divided by prism length) plus (2 times base area) equals (S1 + S2 + S3) L is the prism's length, plus bh, where b is the base triangle's bottom edge, h is its height, and S1, S2, and S3 round out the equation.A = 2AB+ (a+b+c) h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c / 2
Solving for A
Area = ah+ bh+ ch+ 1/2 √ a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴
= 31*14 + 27*14 +6*14+1/2·﹣√31⁴+2·(31·27)²+2·(31·6)²﹣274+2·(27·6)²﹣64
≈ 1024.99612
Hence, the surface area of the triangular prism is1024.99612 cm².
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the perimeters of a rectangle and an equilateral triangle are equal. what is the equation for this scenario?rectangle’s perimeter:equilateral triangle’s perimeter:scenario’s equation:
The total length of a boundary defines the perimeter of an equilateral triangle.
What is the Perimeter of an Equilateral Triangle?The total of the three sides makes up the perimeter of an equilateral triangle. The following fundamental characteristics define a triangle as being equilateral:The three sides are equal.There is a 60° angle between all three.The sides of the triangle PQ = QR = RP in the following illustration have equal lengths. The triangle's angles are also equal in addition to this. An equilateral triangle is what this is. An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.To Learn more About equilateral triangle refer to:
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Answer:
The equation for scenario is 2(l + b) = 3a
The rectangle’s perimeter is 2(l + b)
The equilateral triangle’s perimeter is 3a
What is perimeter ?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
According to question
The perimeters of a rectangle and an equilateral triangle are equal.
So
let,
The length and breadth of the rectangle are l & b
And
Side of an equilateral triangle is a
Now
The rectangle’s perimeter = 2(length + breadth)
⇒ 2(l + b)
And
The equilateral triangle’s perimeter = Sum of All sides
⇒ a + a + a
⇒ 3a
Therefore
perimeters of a rectangle = perimeters an equilateral triangle
2(l + b) = 3a
hence, 2(l + b) = 3a is the equation which show that perimeter of rectangle and equilateral triangle is equal.
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the number of trees in a forest is decaying by 1% every year if in one year it has 10 million trees how many million trees win be there in 8 years round to the nearest hundredths
As it is given, 1% of left tree is decaying every year.
Number of tree left after 8 years.
A = P{1-R/100}^[tex]^{T}[/tex] = 10M{1-1%/100}^ [tex]^{8}[/tex]
= 10M *(0.99)[tex]^[/tex]^[tex]^{8}[/tex]
= 9227446
If round at hundredth, then,
Number of tree = 9227400.
How can you compute depreciation mathematically?Identify the asset's cost. Get the asset's total depreciable value by deducting the projected salvage value from the asset's purchase price. Determine the asset's useful life. The annual depreciation amount is obtained by dividing the sum of steps (2) and (3) by the figure determined in steps (3).
How does depreciation work?Depreciation is the practice of deducting the cost of a company asset over a number of years as opposed to just one. There are four primary ways to depreciate assets: linear, twofold declining, sum of the years' digits, and manufacturing units.
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For a project in her Geometry class, Addison uses a mirror on the ground to measure
the height of her school's football goalpost. She walks a distance of 13.25 meters from
the goalpost, then places a mirror on flat on the ground, marked with an X at the
center. She then steps 1.3 meters to the other side of the mirror, until she can see the
top of the goalpost clearly marked in the X. Her partner measures the distance from
her eyes to the ground to be 1.55 meters. How tall is the goalpost? Round your answer
to the nearest hundredth of a meter.
1q
1.55 m
1.
13 m-
13.25 m
Answer:
the height of the goalpost is approximately 10.48 meters.
Step-by-step explanation:
To find the height of the goalpost, Addison needs to use the distance from the mirror to the goalpost, the distance from her eyes to the ground, and the angle formed by the goalpost, the mirror, and her eyes. She can use the law of cosines to solve for the height of the goalpost.
Let "a" be the distance from the goalpost to the mirror, "b" be the distance from the mirror to Addison's eyes, and "c" be the distance from Addison's eyes to the ground.
The law of cosines states that: c^2 = a^2 + b^2 - 2ab * cos(C), where C is the angle formed by the goalpost, the mirror, and Addison's eyes.
In this case, a = 13.25 meters, b = 1.3 meters, and c = 1.55 meters. We can substitute these values into the formula to solve for the angle C:
1.55^2 = 13.25^2 + 1.3^2 - 2 * 13.25 * 1.3 * cos(C)
Solving for cos(C) and using the inverse cosine function (arccos), we find that C = 52.22 degrees.
Now that we know the angle C, we can use the law of sines to solve for the height of the goalpost. The law of sines states that:
sin(C) / a = sin(A) / h, where A is the angle formed by the ground, the mirror, and the goalpost, and h is the height of the goalpost.
In this case, A = 180 - C - 90 = 180 - 52.22 - 90 = 37.78 degrees, and a = 13.25 meters. We can substitute these values into the formula to solve for h:
sin(52.22) / 13.25 = sin(37.78) / h
Solving for h, we find that the height of the goalpost is approximately 10.48 meters.
Therefore, the height of the goalpost is approximately 10.48 meters.
Find the probability of getting a tail on a coin and 4 on the dice, when a coin is tossed and a dice is thrown simultaneously
P(tail) = Probability of getting a tail on the coin
P(tail)=1/2
P(4)=Probability of getting the number '4' on the dice.
P(4)=1/6
P(tail and 4)=Probability of getting tail on the coin and number '4' on the dice.
P(tail and 4)=p(tail multiply with 4)
P(tail and 4)= 1/2×1/6
P(trail and 4)=1/12
Hope this helps!
NEED HELP ASAP DUE TODAY PLEASE
in the given triangle ABC, angle A is 90 degrees and segment AD is perpendicular to segment BC. If DB=16 and DC=9 find the length of AD
Answer: 10
Step-by-step explanation:
As shown below, ∠ABD = ∠DAC = x.
That means tan(x) = 5 by AD and that tan(x) = AD by 20
You can set those two equations equal to each other to find the length of AD:
5 by AD = AD by 20
5 = AD square by 20
100 = AD square
AD = Square root 100 = 10
Answer:
12
Step-by-step explanation:
let a = AB b=AD c=AC
from the pythagorean theorem:
(1)a² + c² = (16+9)² = 625
(2) b² +16² = a²
(3) 81+ b² = c²
by substitution into (1):
(b²+16²) + (81+b²) = 625
2b² = 625-81-256 = 288
b² = 144
b = 12
suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?
The distribution of the given function is a uniform distribution.
A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).
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What is the slope of (-2, 5) (2, 0)
Answer:
-5/4
Step-by-step explanation:
To find the slope, we have to use this formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
in this case -2 is your first x
5 would be your first y
2 would be your second x
and 0 is your second y
so:
0 - 5
------- = -5/4
2 - (-2)
Jason and his 3 brothers want to buy a gift for their mother. They have $314 saved. Each of them will save $17 a week until they have at least $515 for her gift. How much money will they save after 3 weeks? Will they have enough money to buy the gift?
A. What are the hidden questions?
B. Write an equation that can be used to answer each hidden question. Then solve.
C. Write and solve an equation to find how much money they will save after 3 weeks. Will they have enough to buy the gift? Explain
if u show points I give u 200 points
The equation to find how much money they will save after 3 weeks is y = 68x, and they will save $518, so yes they have enough money to buy the gift.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
Total money Jason and his 3 brothers have = $314,
Each of them will save $17 a week until they have at least $515,
At the end of three weeks, the money saved by Jason and his brothers,
Money saved = 17 × number of person × number of weeks
Assume the number of weeks is x and the money saved is y then,
y = 17x × 4
y = 68x
Money saved, y = 68 × 3
Money saved = $204
Total money after the end of three weeks = $314 + $204
Total money after the end of three weeks = $518
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What is another name for an equilateral quadrilateral? an equiangular quadrilateral? a regular quadrilateral?
Another name for equilateral quadrilateral is rhombus since equilateral means that all of its sides are equal in length.
Another name for an equiangular quadrilateral, is a rectangle.
Another name for a regular quadrilateral is a square, one in which all sides are congruent and all angles are congruent.
What is another name for an equilateral triangle?
Due to the equality of its sides, an equilateral triangle is also known as a regular polygon or regular triangle.
What does equiangular mean?Equiangular simply implies "equal angles." 2. A triangle with acute angles is one in which each of the three internal angles is smaller than 90 degrees.
A quadrilateral is a rhombus if each of its diagonals bisects the vertex angles through which it travels.
∴Another name for equilateral quadrilateral is rhombus since equilateral means that all of its sides are equal in length.
Another name for an equiangular quadrilateral, is a rectangle.
Another name for a regular quadrilateral is a square, one in which all sides are congruent and all angles are congruent.
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Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 = 0?
17 is the value of discriminant for quadratic equation.
What in mathematics is a quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.
The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
General form of a quadratic equation is
ax² + bx + c = 0
The Discriminant of the quadratic equation is denoted by D and defined as
D = b² - 4ac
The given Quadratic equation is
√2x² - 5x + √2 = 0
Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get
a = √2 , b = - 5 , c = √2
Value of Discriminant
= b² - 4ac
= (-5)² - 4 * √2 * √2
= 25 - 8
= 17
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Consider the conversion facts 1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch. PLEASE HELP
a. Write an expression for the exact number of inches in 1 centimeter.
b. Use a calculator to evaluate your expression in part (a). Explain why the measurement conversion may be slightly different when converting between metric units and U.S. custumary units.
The expression for the exact number of inches in 1 centimeter is 1/2.54. Using a calculator to evaluate the expression gives 0.39370074. There may be a slight difference when converting due approximation of figures
How to write an expression for the exact number of inches in 1 centimeter?Given the conversion facts:
1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch
a. The expression for the exact number of inches in 1 centimeter will be:
1 centimeter = 1/2.54 (Since 1 inch = 2.54 centimeters)
b. Using a calculator to evaluate the expression in (a) will give:
1 centimeter = 1/2.54 = 0.39370074
The measurement conversion may be slightly different when converting between metric units and U.S. custumary units because of the approximation of figures when converting from one unit to the other
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Suppose 3 friends each pay for a pair of socks and one 30-minutes jump. The jump costs $ 15.50 per person. If they spend a total of $ 60, then the equation 3(15.50 + x) = 60 can be used to find the cost x of the socks.
Answer:
Step-by-step explanation:
3(15.50 + x) = 60
46.5 + 3x = 60
3x = 60-46.5
x = 13.5/3
x = 4.5 or $4.50
A line segment has endpoints R (-3,-3) and S (5.2). What is the x-coordinate of the point that is 3/4 of the way from R to S on this line segment?
The x-coordinate of the point i.e. 3/4 of way from R to S is 3/7, using the segment formula.
What is segment formula ?
Segment formula is the easiest way to find x and y coordinate of a point when ratio of distances over end point is given i.e.:
Let the coordinate of point P(x, y) dividing the line segment joining the points A(x1 , y1) and B(x2 , y2) internally in ratio m1:m2 then
x= [tex]\frac{m1x2+m2x1}{m1+m2}[/tex]
y = [tex]\frac{m1y2 + m2y1}{m1+m2}[/tex]
using given information,
Let R is 1st point and S is 2nd point ,
3/4 is the ratio so,
m1 = 3,
m2 = 4
x1 = -3
x2 = 5
y1 = -3
y2 = 2
Putting values in above formula for x,
we get
x = 3/7
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Find the difference between (1.2 × 10^8) and (6.4 × 10^7). Write the final answer in scientific notation.
5.6 × 10^8
5.6 × 10^7
5.2 × 10^−1
−5.2 × 10^1
The difference between the two value is 5.6×10^7
The correct option is option B)
What is subtraction?
An arithmetic operation called subtraction simulates the process of removing items from a collection. The minus sign is used to denote subtraction,
We are given two values (1.2 × 10^8) and (6.4 × 10^7)
We are asked to subtract them.
To subtract them we first match their powers of 10
that is we make the powers equal
We convert both the value in terms of 10^7
We get 12×10^7 and 6.4×10^7
Now we perform the subtraction on both values we get
(12-6.4)×10^7
= 5.6×10^7
Hence, The difference between the two value is 5.6×10^7
The correct option is option B)
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solve the following quadratic equation by completing the square x^2 -8x=48
Answer: x=12,-4
Step-by-step explanation:
What is the answer to the picture I put below
The domain of the function y = √x + 4 is
0 ≤ x < ∞ How to find the domainAll of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.
The domain of a function are all possible values that will give output
For the function y = √x + 4
the domain are all positive real numbers which is shown by option C which is 0 ≤ x < ∞
these are numbers from zero to infinity. infinity is denoted by the symbol ∞
Hence the domain is 0 ≤ x < ∞
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How do you solve 3(x−5)=12?
Answer:
9
Step-by-step explanation:
3(x-5)=12
Use distributive property on with the 3 and parenthesis (3 times x and 3 times -5)
3x-15=12
Add fifteen to both sides (15 on the left side cancels out)
3x=27
Divide both sides by 3 (3 on the left side cancels out)
x=9
When constructing an equilateral triangle by hand, which step comes after constructing a circle? (1 point)
A. Set compass to the diameter of the circle.
B. Set compass to the radius of the circle.
C.Use a straightedge to draw a diameter of the circle.
D. Use a straightedge to draw the radius of the circle.
The next step in construction of an equilateral triangle is;
C. Use a straightedge to draw a diameter of the circle.
What are the steps in constructing an Equilateral Triangle?An equilateral triangle is defined as a triangle that has its' 3 sides equal and three interior angles equal.
Now, the steps to construct an equilateral triangle by hand are;
1. Place your compass point on a paper and draw a circle, O.
2. Use a straightedge, to draw a diameter of the circle, labeling the endpoints P and B.
3. Without changing the span on the compass, place the compass point on P and draw a full circle.
4. Label the points of intersection of the two circle circumferences with A and C.
5. Draw segments from A to B, B to C and C to A, to form the equilateral triangle.
Thus, we see that after drawing the circle, the next point is to Use a straightedge to draw a diameter of the circle.
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Do you think the following statement is true or false? "An atom is the smallest unit of matter. Atoms are the basic unit of an element, that are composed of protons, neutrons, and electrons."
The smallest unit of matter is an atom. The fundamental building block of an element is an atom, which is made up of protons, neutrons, and electrons. This statement is true.
An atom is what?An atom is made up of a nucleus and one or more electrons that are bound to the nucleus. The nucleus is made up of one or more protons, a significant number of neutrons, and other particles. Only the most common form of hydrogen lacks neutrons.
An atom, which is the smallest part of a material, retains all of its properties. A molecule is made up of protons, neutrons, and electrons, which are the building components of matter. Protons and neutrons, which are the only particles in an atom that contribute to its atomic mass, are found in the nucleus of each atom. These early 20th-century discoveries of particles that a nuclide itself and chemical components are explained by contemporary atomic theory.
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Which congruence theorem can be used to prove △ bda ≅ △ bdc? Hl
ssa
aas
sss
The congruence theorem that can be used to prove △ bda ≅ △ bdc is D. SSS.
What is SSS congruence?Side-Side-Side, or SSS, is a type of triangle congruence rule that states that two triangles are congruent if their three sides are equal to their respective three sides of another triangle. When the measurements of the corresponding sides and angles are identical, two or more triangles are said to be congruent.
Given that ΔBDA is similar to ΔBDC and:
AD ≡ DC
AB ≡ BC
BD ≡ BD (shared side)
Then the best postulate to use is the side-side-side (SSS) postulate. The correct option is D.
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Which of the following are quadratic equations in x ? x2-x+3=0
The given quadratic equations are:
x^2 - x + 3 = 02x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Is in fact a quadratic equation.
How to identify a quadratic equation?The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
A general quadratic equation is a polynomial of degree 2:
a*x² + b*x + c = y
Where the variable is x, and we can see that the maximum exponent on a power of x is 2.
In this case, we have the first equation:
x^2 - x + 3 = 0
You can see that we have a polynomial of degree 2 (the maximum exponent is 2 and we only have positive integers as exponents) then this is in did a quadratic equation.
The other quadratics are:
2x^2 +5/2x - √3 = 0 1/3x^2 + 1/5x - 2 = 0Where you also can see polynomials of degree 2.
(the third option also seems to be quadratic, but it is not an equation)
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The complete question is:
Which of the following are quadratic equation in x?
The options are:
(i) x^2 - x + 3 = 0
(ii) 2x^2 +5/2x - √3 = 0
(iii) √2x^2 + 7x + 5√2
(iv) 1/3x^2 + 1/5x - 2 = 0
(v) x^2 - 3x - √x + 4 = 0
(vi) x - 6/x = 3
Which represent the inverse of function f(x)=4x
The inverse of the function f(x) = 4x is inverse of f(x) = x/4.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
F(x)= 4x
Let , y=4x
Now we will switch the variables x to y,
x= 4y
Simplify the expression so that y is by itself. And divide each side by 4
x/4= y
or f(x)= x/4.
Therefore, the inverse of the function f(x) = 4x is inverse of f(x) = x/4.
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in the following expression, the variable truckweight has the value 70000 and the variable weightlimit has the value 80000.truck weight < weight limit what value does the expression evaluate to?
The expression evaluates because the variable truck weight's true value is present. The correct answer is (C).
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given,
In the following expression, the variable truck weight has the value 70000 and the variable weight limit has the value 80000.truck weight < weight limit.
Expression,
Truck weight < Truck limit
The value of expression evaluate,
It is true.
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