The y-coordinate is 4 and the y-intercept is (0,4)
The given equation is 4x + 3y = 12
Comparing the equation with the equation of line ax + by = c
where a = 4, b = 3, c = 12
The y-intercept is the point where the graph intersects the y-axis. To graph, any function that is of the form y = f(x) finding the intercepts is really important. There are two types of intercepts that a function can have. They are the x-intercept and the y-intercept. An intercept of a function is a point where the graph of the function cuts the axis.
for y-intercept,
x coordinate is 0
that is x=0
4(0) + 3y = 12
3y = 12
y = 12/3
y = 4
Hence the y-coordinate is 4 and the y-intercept is (0,4)
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Engineers evaluate the efficiency of the memory and speed of a computer. What does evaluate mean in mathematics?
To evaluate anything is to determine its monetary value. Finding all of the values of a variable or collection of variables necessary to make a statement true is what it means to solve something.
What does evaluate mean in mathematics?It is to figure out or compute a formula, function, or relation's value.Middle school math involves evaluating solely arithmetic expressions.It is like to evaluate the equation with a specific value of x or y or any variable.As opposed to solution, which essentially involves going backwards and undoing all of the changes made to the input.Evaluating the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression.To evaluate anything is to determine its monetary value. Finding all of the values of a variable or collection of variables necessary to make a statement true is what it means to solve something.To learn more about evaluate, refer to:
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Point b is on line segment \overline{ac} ac . given ab=2x+10,ab=2x+10, bc=x,bc=x, and ac=5x,ac=5x, determine the numerical length of \overline{ac}. ac
The numerical length of line segment AC is 25.
A line segment refers to a straight line connecting two points.
If point B is on line segment AC, then point B divides the line segment into segments AB and BC.
AB + BC = AC
Given that AB =2x + 10, BC = x, and AC = 5x, substitute these expressions in the equation AB + BC = AC.
AB + BC = AC
2x + 10 + x = 5x
3x + 10 = 5x
5x - 3x = 10
2x = 10
x = 5
To determine the numerical length of line segment AC, substitute the value of x in the equation AC = 5x.
AC = 5x
AC = 5(5)
AC = 25
Hence, the numerical length of line segment AC is 25.
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Angle relationships and triangles
Three angles make compose a triangle.
They'll be known as a°, b°, c°.
If we total everything up:
a° + b° + c = 180
The triangle's horizontal line may be drawn farther to the right, creating a new angle. Call this angle "d°" for short.
a° + b° Equals d°
Give this some values:
a° = 60° b° = 70°
c° = 50°
Do should be 130° since c and d create 180° with c° 50°.
Additionally, because:
A + B + C Equals 180, and C + D = 180.
Because the cremains in both cases are the same, a + b = d.
Any of these fit the bill.
Let's call this f° if you will just extend the triangle's horizontal line to the left.
So, b + c Equals f.
So, if a F Equals 120° since f = 60° and a + f = 180.
We established that b + c Equals f in this instance.
Let's now make the line longer and give it the name angle g°.
B being equal to 70°, the angle next to it is 110°.
Consequently, a + c = g.
All inner angles added together equal 180 degrees.
Additionally, the total of the other two inside angles is equal to the outer angles.
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express the function f(x)=1+|2x-5| in piecewise form without using absolute values
The function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and a = 5/2.
Given that,
f(x) = 1 + |2x - 5|
And,
f(x) = {f₁ x < a
{f₂ x ≥ a
Now,
We have,
f(x) = 1 + |2x - 5|
And,
By definition of absolute value,
|x| = {x x ≥ 0
{-x x < 0
And,
Given the absolute value,
|2x - 5|
Solve for x,
i.e.
2x - 5 = 0
We get,
x = 5/2 = 2.5
i.e.
a = 5/2
i.e.
For all values greater than x = 5/2, 2x - 5 is positive,
And,
For all values less than x = 5/2, 2x - 5 is negative.
So,
|x| = {x x ≥ 5/2
{-x x < 5/2
i.e.
|2x - 5| = {2x - 5 x ≥ 5/2
{-(2x - 5) x < 5/2
Now,
f(1) = 1 + |2(1) - 5|
We get,
f₁ = 4
And,
f(2) = 1 + |2(2) - 5|
We get,
f₂ = 2
Hence we can say that the function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and a = 5/2.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS Which expression is equivalent to 4 ^ 3
The expression that is equivalent to 4 ^ 3 would be an expression that equals 4 ^ 3
4 ^ 3 = 4 x 4 x 4 = 16 x 4 = 64
Answer:
4^3 =
4 x 4 x 4 x4 = 64
WHAT are the angle relationships formed when a third line
intersects two parallel lines?
the angles are the same as their pair
the pairs are
1 and 5
2 and 6
4 and 8
3 and 7
F(x) = 5x + 6 evaluate f(-7)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{f(x) = 5x + 6}\\\mathsf{f(x) = 5(-7) + 6}\\\mathsf{f(x) = -35 + 6}\\\mathsf{f(x) = -29}\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{f(x) = -29}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Line t is called the transversal for lines p and q .
The statement "Line t is called the transversal for lines p and q" is true
Given,
The statement "Line t is called the transversal for lines p and q"
In the figure we can see that line t cut two parallel line p and q
So the line t is transversal for lines p and q
So the given statement "Line t is called the transversal for lines p and q" is true
Hence, the The statement "Line t is called the transversal for lines p and q" is true
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Line t is called the transversal for lines p and q .
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Help me
In solving this question
Answer:
She could have planted 250 seeds on Wednesday
Determine the probability of following event.
In Armando's senior class of 100 students, 91% went to the senior prom. If two people are chosen at random from the entire class, what is the probability that at least one of them did not go to prom?
According to the question, the probability of the event in which all the students went to prom except one. For this, the probability of the complement rule is used.
Out of [tex]100[/tex] students, [tex]91[/tex] went to prom.
So, the probability that students went to prom = [tex]\frac{91}{100} =0.91[/tex]
Now, P(both went to prom) = [tex](0.91)(0.91)=0.8281[/tex]
Using standard probability formula:
P(at least one did not went to prom) = 1-P(both went to prom)
[tex]1-0.8281=0.1719=17.2%[/tex]
The probability that at least one student did not went is [tex]17.2[/tex] percentage.
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
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HELP HELP HELP HELP HELP 4/9×4/5=
Answer: 16/45
Step-by-step explanation:
[tex]\displaystyle\\\frac{4}{9}*\frac{4}{5}= \\\\\frac{4*4}{9*5}=\\\\\frac{16}{45}[/tex]
Solve each equation using the Quadratic Formula. x(x-5)=-4 .
Answer:
x
2
−4x−5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x
2
−4x−5=0
This equation is in standard form: ax
2
+bx+c=0. Substitute 1 for a, −4 for b, and −5 for c in the quadratic formula,
2a
−b±
b
2
−4ac
.
x=
2
−(−4)±
(−4)
2
−4(−5)
Square −4.
x=
2
−(−4)±
16−4(−5)
Multiply −4 times −5.
x=
2
−(−4)±
16+20
Add 16 to 20.
x=
2
−(−4)±
36
Take the square root of 36.
x=
2
−(−4)±6
The opposite of −4 is 4.
x=
2
4±6
Now solve the equation x=
2
4±6
when ± is plus. Add 4 to 6.
x=
2
10
Divide 10 by 2.
x=5
Now solve the equation x=
2
4±6
when ± is minus. Subtract 6 from 4.
x=
2
−2
Divide −2 by 2.
x=−1
The equation is now solved.
x=5
x=−1
m/KLM = 135º.
Find the value of y and m/MLN
L
M
K
47°
(16y)⁰
N
At an electronics store, a smart phone is on sale for 35% off the original price of 679.if you use the store credit card,you can recive an additional 15% off the sale price.what is the final price of the smart phone if you use the store credit card?Round to the nearest cent.
The final price of the smart phone if you use the store credit card is $375.15.
What is the final price?A discount is when the price of an item is marked down. An item becomes cheaper when it is discounted.
Percentage is the fraction of an amount expressed as an amount out of 100. Percentage is a measure of frequency. The sign used to represent percentage is %.
Price of the smartphone after 35% is discounted : (1 - percentage decrease) x original price
(1 - 0.35) x 679
0.65 x 679 = $441.35
Purchase price after you buy with your credit card : (1 - percentage decrease) x discounted price
(1 - 0.15) x $441.35
0.85 x $441.35
= $375.15
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7x+ 6y=2
- 28x- 24y = -8
Answer:
x=2/7 - 6y/7
Step-by- explanation:
Solve each system by elimination.
x + y = 12 , x - y = 2
By elimination, the solution of the system of equations, x + y = 12 and x - y = 2, is (7 , 5).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.
Adding the two equations will eliminate the variable y.
x + y = 12 (equation 1)
x - y = 2 (equation 2)
2x + 0y = 14
x = 7
Substitute the value of x to any of the two equation and solve for y.
x + y = 12 (equation 1)
7 + y = 12
y = 12 - 7
y = 5
Hence, the solution of the system of equations is (7 , 5).
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Evaluate each expression for x=5 .
(5/3) (3x-6)-(6-4 x)
The value of the given expression (5/3)(3x - 6) - (6 - 4x) at x = 5 is 29.
According to the given question.
We have an expression (5/3)(3x - 6) - (6 - 4x).
So, the value of the given expression (5/3)(3x - 6) - (6 - 4x) at x = 5 is given by
(5/3)(3x - 6) - (6 - 4x)
= 5x - 10 - (6 - 4x) (by distributive rule)
= 5x - 10 - 6 + 4x
= 9x - 16
= 9(5) - 16 (at x = 5)
= 29
Hence, the value of the given expression (5/3)(3x - 6) - (6 - 4x) at x = 5 is 29.
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Find the quotient of the quantity 32 times ten raised to the negative twenty second power end quantity divided by the quantity 8 times ten raised to the negative twenty second power end quantity.. write the final answer in scientific notation. 4 x 10−44 4 x 1044 4 x 1022 4 x 100
The final answer in scientific notation is 4 × 10⁰.
Firstly writing both dividend and divisor in scientific notation.
Dividend = 32 × 10⁻²²
Divisor = 8 × 10⁻²²
Now performing division to find the quotient.
Quotient = Dividend ÷ Divisor
Quotient = 32 × 10⁻²² ÷ 8 × 10⁻²²
As per the known rule of exponents, aˣ ÷ aⁿ = aˣ⁻ⁿ
Quotient = (32 ÷ 8) × 10⁻²² ⁻ ⁽⁻²²⁾
Dividing the base numbers
Quotient = 4 × 10⁻²²⁺²²
Performing subtraction on exponents
Quotient = 4 × 10⁰
Also, as per the known fact, a⁰ = 1. So, the final answer is 4 and in scientific notation the final answer is 4 × 10⁰.
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Find the value of x to the nearest tenth. tan x° = 90 89.9 89.6 89.4
Answer:
89.4
Step-by-step explanation:
89.9,89.6 are more than five so we'll be using the lowest number as the nearest thenth
Find the measure of the missing angles h,g and m,k
Give the degrees 119 and 121
The missing angles in degrees are-
∠k = 61°∠m = 119°∠g = 29°∠h = 151°What is defined as the vertically opposite angles?Vertically opposite angles are produced by two straight intersecting lines that are exact reverse one another at a specific vertex. Angles that are vertically opposite each other are equal. These are sometimes referred to as vertical angles.In the given figure;
∠g = 29°, as ∠g and ∠29° are vertically opposite to each other. Both will be equal.
Similarly,
∠k = 61°, as ∠k and ∠61° re vertically opposite to each other. Both will be equal.
What is defined as the linear pair?When 2 lines intersect at a single point, a linear set of angles is formed. If the angles are adjacent to one another after the two lines intersect, they are said to be linear. The sum of the angles of a linear pair is indeed 180°.From the linear pair;
∠h + ∠g = 180
∠h = 180 - 29
∠h = 151°
Similarly,
∠m + ∠k = 180
∠m = 180 - 61
∠h = 119°
Thus, the missing values of the angles are found.
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A television programme begins at 6:10pm the programme ends at 7:05 how long will the television last
Answer:
55 minutes
Step-by-step explanation:
→ Work out long it will take to get to 7:00
7:00 - 6:10 = 50 minutes
→ Work out how much extra time after 7:00
7:05 - 7:00 = 5 minutes
→ Add the 2 answers together
50 + 5 = 55 minutes
PLEASE HELP ME
The frequency distribution shows the widths, in inches, of available cell phones at a technology store.
What is the mean of the frequency distribution? Round answers to tenths place, if answer is a whole number
than put a zero in the tenths place so it will be counted correct.
For given data set, The value of mean is 6.02.
What is mean?The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.
The formula to calculate mean is = sum of all observations / total number of observations
x = 4 5 6 7 8
f = 12 1 8 18 4 ∑f = 43
fx = 48 5 48 126 32 ∑fx = 259
The formula of mean = ∑fx / ∑f
= 6.02
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I think i know how to do this but i keep getting them wrong lol help
Answer:
no worry I'll help u out
Step-by-step explanation:
90+55=145
180-145=35
z=35°
also may I ask for u to mark brainlist?asking
Add. 7/6 + 1/3
i've been asking a lot of fraction questions lol :D
Answer:
Hope this helps :)
All of these are the answers, the final answer is the simplified one, and the explanation is below.
9/6 (improper fraction)
1 3/6 (mixed number)
1 1/2 (simplified)
Step-by-step explanation:
1. Common denominators which is 6.
7/6 + 1/3
1/3 × 2/2 = 2/6
2. Add the numerators since they already have common denominators.
7/6 + 2/6 = 9/6
3. Change into mixed number and simplify if needed.
9/6 = 1 3/6 = 1 1/2
Find the distance between the points (1, 6) and (9, 0).
Answer:
You have to use the distance formula
d=√(x2-x1)^2 + (y2-y1)^2
replace the points and get 10
Evaluate A² for A = -3.
-6
9
6
-9
Answer:
b) 9
Step-by-step explanation:
Given that,
→ A = -3
Then the value of A² will be,
→ (-3)² = 9
Hence, option (b) is correct.
c. Will bought a tennis racket on sale for $24.60. If the sale was 20% off,
how much was the tennis racket originally?
Answer:
$30.75
Step-by-step explanation:
Since the sale was 20% off, the tennis racket is 80% of its original price.
[tex].8p = 24.60[/tex]
[tex]p = 30.75[/tex]
Find two numbers with a sum of 65. Twice the lesser number is 10 more than greater number.
Answer:
a=25
b=40
Step-by-step explanation:
We can get two equations from these statements
1.a+b=65
2.a<b
therefore 2a=10+b
and 2a-10=b
substitute into original equation
a+(2a-10)=65
3a=75
a=25
b=65-25
=40
Jai's family took a road trip to Mount Rushmore. Jai fell asleep after they had
travelled 259 miles. If the total length of the trip was 740 miles, what
percentage of the total trip had they travelled when Jai fell asleep?
The total percentage they travelled when Jai fell asleep is 35%.
In mathematics, a percentage is a ratio or value that is expressed as a fraction of 100. The Latin term "per centum," which means "by a hundred," is the source of the English word "percent." The sign "%" stands for percentage. We apply the percentage method to determine the portion of a whole expressed in terms of 100. Use the percentage formula to convert a number to a fraction of 100.
The total length of trip was 740 miles.
Jai travelled before they fell asleep = 259 miles
Therefore the percentage of total trip travelled before Jai fell asleep =
= [tex]\frac{259}{740}\times100[/tex]
= 35 %
So by 35% of the total trip, they travelled when Jai fell asleep.
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A baker uses the equation y= 3.5x to find the number of cups ,y, of milk he needs to make a number ,x, of tres leches cakes. What is the constant of proportionality between y and x?
Answer:
Step-by-step explanation
Equation: y=3.5x
Constant of proportionality:
The constant ratio of one variable quantity to another to which it is proportional.
Answer: 3.5
The reason is for 3.5 cakes you need this amount of milk.
