Answer:
An expression for the temperature on February 10 = -15F +42F = 27F
Step-by-step explanation:
the problem given is based on the algebra of simple addition : -
Addition of Algebraic Expressions : -
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Two ways to solve addition of algebraic expressions.
Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.
so the question can be solved using Horizontal method :-
temperature on 9 Feb = -15F
temperature rose on 10th Feb = 42F
so the temperature on 10th Feb is :
-15F +42F = 27F
therefore, an expression for the temperature on February 10 is
-15F +42F = 27F (answer)
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Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.
1 ≥ 2x
6x ≥ 3 + 8x – 4
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
1≥2x and 6x≥3+8x-4 are correct representations of the inequality 6x ≥ 3 + 4(2x – 1).Option A,B and C are correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
The solution to the given inequality is;
6x≥3+4(2x-1)
6x≥3+8x-4
2x≤1
x≤(1/2)
The correct options are;
A)1 ≥ 2x
B)6x ≥ 3 + 8x – 4
C)A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
1≥2x and 6x≥3+8x-4 are correct representations of the inequality 6x ≥ 3 + 4(2x – 1).
Hence, options A, B, and C are correct.
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Answer:
A, B, C
Step-by-step explanation:
If f(x)=2x² +5√(x-2), complete the following statement:
The domain for f(x) is all real numbers ____ than or equal to 2.
Free Response:
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
How to determine the domain of a function with radical components
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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The average of 7, 20, and X is 20. what is the value of X?
Answer:
33
Step-by-step explanation:
do it in reverse
there are 3 numbers
average is 20
that means total is 20 times 3 which is
60
7+20+x=60
27+x=60
x=60-27=
33
Answer:
x = 33
Step-by-step explanation:
we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present
for example,
the average of 2 and 20
2 + 20 = 22
(there are two numbers, so we divide by 2)
22 / 2 = 11
so, this example has an average of 11
we can apply the same logic to a variable:
we know that
[tex]\frac{20+7+x}{3}[/tex] = 20
We can now solve for x:
[tex]\frac{20+7+x}{3}[/tex] = 20
· 3 ·3 {multiply both sides by 3}
20 + 7 + x = 60 {combine like terms}
27 + x = 60 {subtract 27 from both sides to isolate x}
x = 33
{check answer:
7 + 20 + 33 = 60
60 / 3 = 20 (divided by 3 because we have 3 numbers) }
so, the value of x is 33
(x = 33)
hope this helps!!
what is the square root of 10,000
Answer:
100
Step-by-step explanation:
The square root of 10000 can be written as (10000)1/2. Thus,
(10000)^/2 = (100 × 100)^1/2
(10000)^1/2 = [(100)2]^1/2
(10000)^1/2 = (100)^2/2
(10000)^1/2 = (100)^1
So,
√10000 = 100
Translate the following statements into algebraic expressions.
One-half of the sum of 8 and x.
Answer:
1/2(8 + x)
Step-by-step explanation:
In this statement, it tells us to add 8 and x and then multiply that with 1/2.
answer...............
In the given graph point B is a relative maximum with the coordinates (0, 2).
The given function is [tex]y=x^{4}-2x^{2} +1[/tex].
In the given graph, we need to find which point is a relative maximum.
What are relative maxima?The function's graph makes it simple to spot relative maxima. It is the pivotal point in the function's graph. Relative maxima are locations where the function's graph shifts from increasing to decreasing. A point called Relative Maximum is higher than the points to its left and to its right.
In the graph, the maximum point is (0, 2).
Therefore, in the given graph point B is a relative maximum with the coordinates (0, 2).
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Which of the following graphs represents the solution set
x>5?
Answer:
Graph A is correct.
Step-by-step explanation:
Graph A is the graph with the open circle and the arrow pointing to the right.
Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answer:
14.3 km (1 d.p.)
Step-by-step explanation:
To find the mean, divide the sum of all data values by the total number of data values.
If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.
[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]
The lenght of a rectangle is 50cm its diagonal is 51 cm worl out the area of the rectangle A=LxW
There is an infinite number of length-width pairs that will result in a diagonal value of c.
Let a = the length. This is unknown.
Let b = the width. This is unknown.
Let c = the diagonal. This is a known value.
We have a right triangle with side a, side b, and hypotenuse c.
Since this is a right triangle, we will use the Pythagorean Theorem.
What is the Pythagoras theorem?
The Pythagorean Theorem is
[tex]c^2 = a^2 + b^2.[/tex]
Rearranging this formula gives
[tex]a^2 = c^2 - b^2[/tex]
And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]
Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.
There is an infinite number of length-width pairs that will result in a diagonal value of c.
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The mapping diagram shows a functional relationship.
Domain
Range
3
9
0
3
-1
9
Complete the statement.
f(3) is
a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. using 3.14 or pi which of the following can be used to calculate the volume of the cylinder
The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
What is a volume of a cylinder?The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)
Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]
[tex]\pi =3.14[/tex]
We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]
[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]
[tex]=6,104.16 m^{3}[/tex]
Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
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1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?
Answer:
1) 8 m^3
2) 125 + 25
3) 8
Step-by-step explanation:
1) It's a cube shape => length = width = height = 2 m
Volume = length × width × height = 2 × 2 × 2 = 8 m^3
2) 5^2 + 5^3 = 150
25 + 125 = 150
3) Now she is 8 years old (8 = 2^3)
Next year she'll be 9 years old (9 = 3^2)
An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?
An expression is defined as a set of numbers, variables, and mathematical operations. The male cheetah's average speed for the last month is 20 mph.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) Let the male cheetah's average speed for the last month be represented by x.
Given the male cheetah runs at a speed of 26 mph, that is 30% faster than his average last month.
x + 30% of x = 26 mph
1.30x = 26
x = 20 mph
Hence, the male cheetah's average speed for the last month is 20 mph.
B.) Sadie makes 1.5 liters of iced tea. She pours a liter into a pitcher to take to her neighbor. Her sister drinks the remaining iced tea. Therefore,
Iced tea Sadie's sister drink = 1.56 liters - 1 liter = 0.56 liter
Hence, the amount of tea Sadie’s sister drinks is 0.56 liters.
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the graph below shows the hourly wage of tina when she was working summer from high school through collage
The years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Calculating rate of payFrom the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year
Considering the graph
From year 2001 to 2002Her raise was $6.50 - $5.50 = $1.00
From year 2002 to 2003Her raise was $7.00 - $6.50 = $0.50
From year 2003 to 2004Her raise was $7.75 - $7.00 = $0.75
From year 2004 to 2005Her raise was $8.50 - $7.75 = $0.75
From year 2005 to 2006Her raise was $10.50 - $8.50 = $2.00
From year 2006 to 2007Her raise was $11.50 - $10.50 = $1.00
Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
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is 1 − 3x2 = -y linear
No. Because the x is raised to the 2nd power the equation is not linear.
Please don't give a long answer
2400 - 40x = 600
As she has not studied 600 flashcards still, we subtract unit rate from total.
Part B40x - 600 = 2400
Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.
Part C(600 + 40)x = 2400
Here 'x' represent mass. As masses are same for both. They can be joined.
The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.
How many team members are included in the histogram?
Answer:
The basic way to calculate the number of members is finding the area under the curve. The total members are 20
Step-by-step explanation:
The given graph shows that how many team members have a particular weight.
The first rectangle shows that 5 team members have a weight of 115kg.
The second rectangle shows that 3 team members have a weight of 115kg.
The third rectangle shows that 2 team members have a weight of 115kg.
The forth rectangle shows that 0 team members have a weight of 115kg.
The fifth rectangle shows that 3 team members have a weight of 115kg.
The sixth rectangle shows that 4 team members have a weight of 115kg.
The seventh rectangle shows that 3 team members have a weight of 115kg.
So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20
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Blue Jays tickets cost too much! The good folks in charge of Toronto Baseball
have found that for every 50-cent decrease in the average ticket price, 300 extra
tickets will be sold. Right now, the average price of a ticket is $80, and they sell an
average of 30,000 tickets per game. The capacity of the Rogers Centre is 49,282.
Determine the optimal ticket price that maximizes revenue, the new number of
tickets sold, and the amount of extra revenue the Blue Jays will take in per game
when compared to the current revenue.
The optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
What is the objective function?
The objective function is simply an equation that represents the goal production capability that relates to maximizing profits from manufacturing.
Current revenue;
⇒ 80 × 3000 = 240000
From the given condition the price decrease by 0.5 times. So that the ticket sold will be 300 times the cost. The inequality relationship is found as;
30000+300x 49282
x≤64
The revenue value is found as;
y = ( 80 - 0.5 x )(30000+300 x)
y=-150 x²+9000 x+2400000
The value of x is found as;
[tex]\rm x= \frac{9000}{150 \times 2 }\\\\ x=30[/tex]
Hence, the optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
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Please someone do this for me
Answer:
A = -12
B = -8
C = -4
Step-by-step explanation:
[tex]y=2x-8[/tex]
x = -2
[tex]y=2(-2)-8=-4-8=-12[/tex]
A = -12
x = 0
[tex]y = 2 (0)-8=-8[/tex]
B = -8
x = 2
[tex]y = 2 (2) -8 = 4-8 = -4[/tex]
C = -4
Hope this helps
# How would you teach English Subject at your Bridge course class,if you were an English Teacher?
english and maths teacher
What is the degree of polynomial: 2x- root 5
Answer: 1
Step-by-step explanation:
[tex]2x-\sqrt{5}=2x^{1}-\sqrt{5}[/tex], and thus the highest exponent of x is 1
To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 4x − 3y = 34 second equation: 3x 2y = 17
To eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.
Elimination is a process of solving a system of equations to eliminate one variable and solve for the other.
To eliminate the y terms from the equations,
first equation: 4x - 3y = 34, and
second equation: 3x + 2y = 17,
we take the L.C.M. of the coefficients of y, that is 3 and 2, which is 6, and multiply the equation by the value = (LCM of the coefficients/respective coefficient of y).
That is, for :
the first equation, we multiply the equation by (LCM of the coefficients/respective coefficient of y) = 6/3 = 2.
the second equation, we multiply by (LCM of the coefficients/respective coefficient of y) = 6/2 = 3.
Thus, to eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.
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If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol
If I am driving the train , the colour of the eye will be my eye colour.
What are Logical Questions ?The questions that do not need critical reasoning while only need logical thinking to find the answer.
It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"
If I am driving the train , the colour of the eye will be my eye colour.
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help its timed 12 pts
Answer:
A
Step-by-step explanation:
I think your right!
Answer:
B
Step-by-step explanation:
I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4
If the center of the small gear is rigidly attached to the center of a bicycle wheel with a radius of 10 inches, how many inches will the bicycle travel with a single rotation of the large gear? the small gear has a radius of 2 inches.
The distance traveled is 62.8 inches.
How many inches will the bicycle travel with a single rotation of the large gear?
We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.
Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:
C = 2*pi*R
Where pi = 3.14 and R is the radius, which we know is 10inches.
Then:
C = 2*3.14*10in = 62.8in
The distance traveled is 62.8 inches.
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The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number, the result is 7. Find the numbers. The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number , the result is 7 . Find the numbers . Or as points
23 4 Which expression is equivalent to (- 2 1/4)/(- 2/3) ?
The equivalent expression is: .[tex]3\frac{3}{8}[/tex]
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)
Given:
(- 2 1/4)/(- 2/3)
=-9/4÷ (-2/3)
= -9/4 * (-3/2)
= 27/8
= [tex]3\frac{3}{8}[/tex]
Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].
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3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
Answer:
ED + EF < DF
Step-by-step explanation:
shorter side lengths added together > larger side length
however, smaller side lengths are < larger
So ED + ED < DF means that this cannot be a triangle
Answer:
ED + EF < DF
(second option listed)
Step-by-step explanation:
for a triangle, the sum of the two shorter side lengths must be greater than the larger side length
so we know that the two smaller lengths (DE and FE) would have to add up to be greater than the larger side length (DF)
because this is not the case, we know that we cannot construct a triangle
[to construct a triangle:]
smaller + smaller > bigger
DE + FE > DF; which is false/not the case
so because DE + FE < DF, we cannot form a triangle
so, ED + EF < DF explains why these three segments cannot construct a triangle
can someone please help mee and graph it for me pleasee(20 points and i will give brainliest!!!)
Answer:
vertex: (3,1)
y-intercept = (0,-8)
x-intercept- Smaller=2 Larger=4
Domain= all real numbers, identity, infinite
Range= 1 is greater than or equal to y
axis of symmetry=3
Step-by-step explanation:
Work out the size of angle x.
Answer:
according to my calculation it is 13
Step-by-step explanation:
hope I helped
