what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x-4
x-2
x+2
x+4

Answer:

x = - 1 and x = - 7

Step-by-step explanation:

Given

x² + 8x + 7 = 0 ← in standard form

(x + 1)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 7 = 0 ⇒ x = - 7

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Answer:

19-8x

Step-by-step explanation:

7-4(2x-3)

7-8x+12

19-8x

Answer:

A: Its legs are congruent

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

An isosceles trapezoid is a trapezoid with two congruent sides and congruent base angles.

An isosceles trapezoid is a trapezoid that has two congruent sides. In other words, the two non-parallel sides of an isosceles trapezoid are equal in length. The base angles of an isosceles trapezoid are also congruent. The parallel sides of an isosceles trapezoid are not equal in length.

For example, if a trapezoid has sides AB = 6 cm, BC = 5 cm, CD = 4 cm, and DA = 5 cm, then it is an isosceles trapezoid because sides BC and DA are congruent.

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Answer:

No value of x makes the equation true.

Step-by-step explanation:

Here are the choices which are missing in the question:

a) Amaya made a mistake because 4 is not equal to 5

b) No value of x make the equation true.

c) All value of x make the equation true.

d) The solution is x= 4 or 5

Given equation is [tex]8x+4=9+4(2x-1)[/tex]

Now, solving the equation:

[tex]8x+4=9+4(2x-1)[/tex]

distributing 4 with both 2x and -1

⇒[tex]8x+4= 9+8x-4[/tex]

⇒[tex]8x+4= 5+8x[/tex]

Subtracting both side by 8x

∴ 4=5

The result indicate that equation has the same result and x has no value.

Answer:

No values of x make the equation true.

First, use distributive property:

5(2r+6)-12r  The original expression; multiply 5 by 2r, and 5 by 6.

10r+30-12r  Keep the -12r, just add it on to the end of the number(s) you found

Next, use communitive property:

10r+30-12r  What we found in the previous step

-2r+30        Combine the like terms; 10r-12r=-2r, then place the 30 at the end

Done! Your answer is -2r+30.

Hope that helps!

Answer:

Step-by-step explanation:

XW II Yz and XY is transversal

∠XYZ +∠ZYX =  180°           {sum of co-interior angle is 180}

2x + 90 + 3x - 5 = 180

5x = 180 - 90 + 5

5x = 95

x = 95 / 5

x = 19

Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

what i did was..

41-6 = 30

30/7 = 5

x=5

Answer:

c

Step-by-step explanation:

The figure is a triangular prism

It is like  you take an iron sheet with the shape of a trapezoid  to cut the figure

The bottom part of the "sheet match the triangular base of the prism

The top part of the"sheet match the middle point of the triangular top of the prism

1572*7=11004

750*125.40=94050

94050-11004=83046

the profit is $83046

Answer:

2 pounds

Step-by-step explanation:

all you have to do is 2 1/2 x 4/5 because 4/5 is equal to 1. So if you multiply that by 2 1/2 you will get the answer

Final answer:

The solution set graphic is C - Points on negative x-axis.

Explanation:

The correct solution set graphic for this question is C - Points on negative x-axis.

To determine the solution set graphically, you would need to plot all the possible values of the equation or inequality on a coordinate plane. Option A - Infinite set of points on the line would represent a linear equation or inequality with multiple solutions. Option B - Empty set would mean that there are no solutions to the equation or inequality. Option C - Points on negative x-axis would indicate that the equation or inequality has solutions only on the negative x-axis.

Answer:

[tex]\large \boxed{\text{19 visitors/mo}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the number of visitors divided by the change in the number of months.

1. Change in number of  visitors  

Change in visitors = 182 -125 = 57 visitors

2. Change in number of weeks

Change in time = 5 - 2 = 3 months

3. Average rate of change

[tex]\begin{array}{rcl}\text{Average rate of change} &= &\dfrac{\text{change in visitors}}{\text{change in months}}\\\\&= &\dfrac{\text{57 visitors}}{\text{3 mo}}\\\\& = & \textbf{19 visitors/mo}\\\end{array}\\\text{The average rate of change is $\large \boxed{\textbf{19 visitors/mo}}$}[/tex]

there was a 768million person increase in that decade

Answer:

768million

Step-by-step explanation:

Answer:

The required points of the given line segment  are ( 9, - 2 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 4, 2 ) and point A is ( - 1, 6), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and  ( [tex]x_{2}, y_{2}[/tex] )then the mid points M are-  

M = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1}  + y_{2}}{2}[/tex]   )

Here,

Let A ( - 1, 6 ), B ( x, y ) with midpoint M ( 4, 2 ) -

then by the midpoint formula M are-

( 4, 2 )  = ( [tex]\frac{ - 1 + x}{ 2}[/tex] ,  [tex]\frac{ 6 + y}{2}[/tex] )

On comparing x coordinate and y coordinate -

We get,

( [tex]\frac{ -1 + x}{2}[/tex] = 4 , [tex]\frac{ 6 + y}{2}[/tex]  =  2)

( - 1 + x = 8,  6 + y = 4)

( x = 8 + 1, y = 4 - 6 )

( x = 9, y = -2 )

Hence the required points  A are ( 9, - 2 ).

We can also verify by putting these points into Midpoint formula.

Answer:

Step-by-step explanation:

parent function is the main function the start function and transformations are the new function so parent function is y = x^2 and the transformations is down for (due to the -) and left 3 (due to the +)

HOPE THIS HELPED ;3

Answer:

so....wya

Step-by-step explanation:

Good morning,

Answer:

-19

Step-by-step explanation:

(5x−3)/2=3x+8 ⇌ 5x−3 = 2×(3x+8)  ⇌  5x−3 = 6x+16  ⇌ 6x-5x = -3-16

⇌ x=-19.

:)

Answer:

x = - 19

Step-by-step explanation:

Given

[tex]\frac{5x-3}{2}[/tex] = 3x + 8

Multiply both sides by 2 to clear the fraction

5x - 3 = 6x + 16 ( subtract 6x from both sides )

- x - 3 = 16 ( add 3 to both sides )

- x = 19 ( multiply both sides by - 1 )

x = - 19

Answer:

He have 32 quarters and 15 dimes.

Step-by-step explanation:

Given:

Asa saves dimes and quarters so that he will have exact change for the bus.

He has 47 coins that are worth $9.50.

Now, to find the number of coin each he have.

Let the number of quarters be [tex]x.[/tex]

And the number of dimes be [tex]y.[/tex]

So, the total number of coins are:

[tex]x+y=47.[/tex]

[tex]y=47-x.[/tex].........(1)

As given the total worth of coins = $9.50

And the value of a quarter = $0.25 and the value of a dime = $0.10.

Now, the total worth of coins are:

[tex]0.25x+0.10y=9.50[/tex]

Putting the equation (1) in the place of [tex]y[/tex] we get:

[tex]0.25x+0.10(47-x)=9.50[/tex]

[tex]0.25x+4.7-0.10x=9.50[/tex]

[tex]0.15x+4.7=9.50[/tex]

Subtracting both sides by 4.7 we get:

[tex]0.15x=4.80[/tex]

Dividing both sides by 0.15 we get:

[tex]x=32.[/tex]

The number of quarters = 32.

Now, putting the value of [tex]x[/tex] in equation (1) we get:

[tex]y=47-32.[/tex]

[tex]y=15.[/tex]

The number of dimes = 15.

Therefore, he have 32 quarters and 15 dimes.

Answer:

[tex]\large \boxed{x = \dfrac{15}{2}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcll}6x - 2& = & 4x + 13 & \\6x & = & 4x + 15 & \text{Added 2 to each side}\\2x & = & 15 & \text{Subtracted 4x from each side}\\x & = & \mathbf{\dfrac{15}{2}}& \text{Divided each side by 2}\\\\\end{array}\\\large \boxed{\mathbf{x = \dfrac{15}{2}}}[/tex]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as [tex]4\div 2 =2[/tex]. So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

Answer: I think the answer would be 50%

If the chance of having a boy or girl would be 50%, then having twins would be that probability as well.

Answer:The answer is 25%

Step-by-step explanation: 0.5x 0.5= 0.25

If its 50 % to have a boy or girl then you just multiply them.

Answer:

+20

Step-by-step explanation:

This is meaning to add when it says to gain

Answer:

x=6

Step-by-step explanation:

16x-8+2x=100

18x-8=100

18x=100+8

18x=108

x=108/18

x=6

14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 16x – 8 + 2x = 100.

Sixteen times of x minus eight plus two times of x equal to hundred.

16x – 8 + 2x = 100.

We need to add the variable terms to get the equivalent equation.

Equivalent equation is an equation which looks different but the result will be same.

14x-8 = 100.

Add 8 on both sides.

14x=100+8

14x=108.

Hence, 14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.

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Benson earned 70 points per game not including the bonus points.

Step-by-step explanation:

Given,

Games of trivia played = 12

Bonus points received per game = 35 points

Bonus points for 12 games = 35*12 = 420 points

Total points earned = 1260 points

Points earned in games = Total points - bonus points

Points earned in games = 1260 - 420 = 840 points

As he scored 840 points in 12 games, therefore,

12 games = 840 points

1 game = [tex]\frac{840}{12} = 70\ points[/tex]

Benson earned 70 points per game not including the bonus points.

Keywords: subtraction, division

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Answer:

A. 8/4=12/w

Step-by-step explanation:

8/4=12/x

8feet long           12 inches

----------------   =    ----------------

4feet wide            X because we dont know exact width

Answer:

A. 8/4=12/w

Step-by-step explanation:

[tex]\frac{25}{48}[/tex] represents repeating decimal

Solution:

We are asked to find the rational number that represents repeating decimal

A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely)

Option 1

[tex]\frac{11}{40} = 0.275[/tex]

So here the decimal part is not repeating. So [tex]\frac{11}{40}[/tex] does not represent repeating decimal

Option 2

[tex]\frac{3}{25} =0.12[/tex]

So here the decimal part is not repeating. So [tex]\frac{3}{25}[/tex] does not represent repeating decimal

Option 3

[tex]\frac{25}{48} = 0.52083333333[/tex]

So here in decimal part "3" is repeating and goes on forever

So [tex]\frac{25}{48}[/tex] represents repeating decimal

Option 4

[tex]\frac{7}{32} = 0.21875[/tex]

So here the decimal part is not repeating. So [tex]\frac{7}{32}[/tex] does not represent repeating decimal

Answer:

C) 2.75x+3.25y ≤ 500

Step-by-step explanation:

Here are the correct options given:

A) 3.25x +2.75y ≤ 500

B)  3.25x + 2.75y ≥ 500

C) 2.75x + 3.25y ≤ 500

D)  2.75x + 3.25y ≥ 500

Given: Nails cost is $2.75 per pound

           Screw cost is $3.25 per pound

           Jerry has only $500 to spend on nails and screws.

           x represent quantity of nail bought and y represent quantity of screw    bought.

As given we know that Jerry has only $500 to spend, so the total cost has to be less than or equal to $500. It cannot go more than $500.

Remember, Total cost= [tex]\textrm{cost of goods per pound}\times quantity[/tex]

Now, Inequality to represent the cost of buying nails and screw.

[tex]\$2.75\times x\ pounds+ \$3.25\times y\ pounds\leq \$ 500[/tex]

∴ [tex]2.75x+3.25y\leq 500[/tex]

Answer:

-42 2/9

Step-by-step explanation:

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10 times

tenth

the same

Step-by-step explanation:

K.E is directly proportional to mass thus if the mass increases or decreses "k" times, then so does the K.E

Answer:

1). 10 times more 2). 10 times less 3). the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area= length x width

area=6/7, length=3/5, width=?

6/7=3/5 x width

6/7 divided by 3/5= 6/7 x 5/3 (you have to multiply by the recipricol, or flip the fraction.)

6/7 x 5/3=30/21= 1 3/7=width

The area of a 2D form is the amount of space within its perimeter. The width of the rectangle is 10/7 miles.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of a rectangle is the product of its length and its width, therefore, the width of the rectangle can be written as,

Area = Length × Width

Width = Area / Length

Given the area of the rectangle is 6/7 square miles, while the length of the rectangle is 3/5 miles, therefore, the width of the rectangle is,

Width = (6/7)/(3/5)

Width = (6×5)/(7×3) = 10/7

Hence, the width of the rectangle is 10/7 miles.

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Final answer:

Mr. Avery can arrange the 30 chairs in 5 rows of 6 chairs each or 3 rows of 10 chairs each to satisfy the conditions of having more than one row and the chairs per row being greater than the number of rows.

Explanation:

Mr. Avery can arrange the 30 chairs in the band room in multiple configurations but must satisfy two conditions: there must be more than one row and the number of chairs in each row must be greater than the number of rows. To find such arrangements, we can look for factors of 30 that adhere to these conditions. One possible arrangement is 5 rows with 6 chairs in each row. This satisfies the conditions because there are more than one row, and the number of chairs per row (6) is greater than the number of rows (5).

Another possible arrangement could be 3 rows with 10 chairs each. Here, the condition is also met since there are more than one row and the number of chairs per row (10) is greater than the number of rows (3). Mr. Avery must ensure there's enough space to move around, so he may need to rearrange the chairs to provide adequate pathways between rows.