Three students were given the expression shown and were asked to take a common factor out of two of the terms.

4-9x+21

Chang: 4-3(3x+7)
Chang’s expression is ___ because _______.

Benjamin: 4+3(3x+7)
Benjamin’s expression is ___ because ________.

Habib: 4+12x
Habib’s expression is ___ because ________.

Equivalent Expression
The correct simplification of this expression _____.

please help me omg

Answer:

60 photos

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because there is 60 minutes in an hour so she ca take 60 pics in 1 hour.

Answer:

156.25

Step-by-step explanation:

So, we know that  this is a square so we know that each side will equal the same.

So, all we need to do is divide 625 by 4. We will get 156.25.

Hope this helps!

Answer:

The answer is 26cm

Step-by-step explanation:

what I did was that I divide 130/5 which gave me 26

Answer:

F: 52 cm

Step By Step Answer:

130 divided by 5 equals 26

26 times 2 equals 52

Answer:

29%

Step-by-step explanation:

210-150/210 = 60/210 or 6/21

Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21

then we have to multiply the 6 by 4 16/21 which is about 29%

Answer:

(-5, -3)

Step-by-step explanation:

To graph the two equations, you can look at two things, the slope and the y-intercept.

The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.

In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.

For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.

I've attached a graph below if you need it.

Given:

A piecewise function

[tex]f(x)=\begin{cases}3 &,x<0 \\ x^2+2 &,0\leq x<2 \\ \dfrac{1}{2}x+5 &,x\geq 2 \end{cases}[/tex]

To find:

The range of the function.

Solution:

Range is the set of output values.

For [tex]x<0[/tex], the function is [tex]f(x)=3[/tex]       ...(i)

For [tex]0\leq x<2[/tex], the function is [tex]f(x)=x^2+2[/tex].

[tex]0\leq x<2[/tex]

Squaring each side.

[tex]0^2\leq x^2<2^2[/tex]

Adding 2 on each side.

[tex]0+2\leq x^2+2<4+2[/tex]

[tex]2\leq f(x)<6[/tex]               ...(ii)

For [tex]x\geq 2[/tex], the function is [tex]f(x)=\dfrac{1}{2}x+5[/tex].

[tex]x\geq 2[/tex]

Divide both sides by 2.

[tex]\dfrac{1}{2}x\geq 1[/tex]

Adding 5 on each side.

[tex]\dfrac{1}{2}x+5\geq 1+5[/tex]

[tex]f(x)\geq 6[/tex]                 ...(iii)

From (i), (ii) and (iii), it is clear that the values of f(x) lies in the interval [2,∞).

So, the range of the given function is [2,∞).

Therefore, the correct option is b.

correct answer is B

Life is a high way i wan to drive it all night long.

Answer:

it would be the 2nd option

Step-by-step explanation:

the volume of a soda can is like finding the volume of a cylinder. (The volume of a cylinder is  (π r^2 x h) 3.14 times the radius squared, times the height.)

Answer:

2.5 kg

Step-by-step explanation:

1000 grams in 1 kg

2500 grams in 2.5 kg

Answer:

-2<x<8

see below for graph

Step-by-step explanation:

First, we need to solve the inequality.

Inequality: |x-3|<5

Split into two equations:

x-3<5

x-3>-5 (notice how the sign is flipped when we make the number negative)

let's start with x-3<5

add 3 to both sides

x<8

now

x-3>-5

add 3 to both sides

x>-2

The graph is below

the intersection is the solution.

Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)

the equation is -2<x<8

Hope this helps!

Answer: 5 1/2

Step-by-step explanation:

12 5/6 - 7 1/3

Find an equivalent fraction for 7 1/3

12 5/6 - 7 2/6

5 3/6

Simplify

5 1/2

12 5/6 - 7 1/3

12-7= 5 and

5/6-1/3= {lcm of 6 and 3}

5-2/6= 3/6

3/6 = 1/2

final answer = 5 1/2

Answer:

y = 103

y = 180 - 77 = 103

Step-by-step explanation:

........

Answer:

103

Step-by-step explanation:

All we have to do is subtract the measure of the line which is 180 by 77 to get the measure of < y. Since they are adjacent to each other this concept will work but if they weren't it would be a little different.

[tex]y+77=180\\y=130[/tex]

So the measure of < y is 130°

Answer:

Step-by-step explanation:

-x + 5 = 5x - 6

-6x + 5 = -6

-6x = -11

6x = 11

x = 11/6

-11/6 + 30/6= 19/6

(11/6, 19/6)

answer is C

Answer:

b 20.6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

got itt right

Answer:

D

Step-by-step explanation:

Answer:

180 hours

Step-by-step explanation:

24 hrs in a day

5/6 of 24 is 20 and multiply it by 9 because there are 9 days

=180

Answer:

its 180 houe=rs i agree

Step-by-step explanation:

Answer:

1. 1/4 because rectangle B takes up 1/2 of the space and the two triangles together take up 1/4.

2. 1/2, because it is twice as big as C, which takes up 1/4 of the space.

3. 1/8, because both A and D together take up 1/4 of the space, and they are both the same size

4. 1/3, because the triangles around it each take up 1/6 of the space

5. 1/6, because it is half as large as square J, which takes up 1/3 of the space

Step-by-step explanation:

(hope this helps!)

The answers to each part is mentioned below.

Given is a trapezoid as shown in the image.

[A] -

The fraction is given by the ratio of square area and the trapezoidal area as -

{A(Square)/A(Trapezoid)} = A(C)/A(X)

[B] -

The fraction is given by the ratio of rectangle area and the trapezoidal area as -

{A(Rectangle)/A(Trapezoid)} = A(R)/A(X)

[C] -

The fraction is given by the ratio of triangle area and the trapezoidal area as -

{A(Triangle)/A(Trapezoid)} = A(T)/A(X)

[D] -

Total area of the figure [Z] → A{Z} = 4 x (1/2) x a x a = 2a².

Area of a square [J] → A{J} = a²

The fraction is given by the ratio of square area and the area of the image -

{A(square)/A(Z)} = a²/3a² = 1/3

[E] -

The fraction is given by the ratio of a triangle area and the area of the image -

{A(triangle)/A(Z)} = {a²/2}/3a² = 1/6

Therefore, the answers to each part is mentioned above.

To solve more questions on fractions, visit the link below -

https://brainly.com/question/8520205

#SPJ2

Answer:

To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".

Hope helps

Answer:

The answer is:

[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, The is what the slope formula is ☟

[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]

➌Third: Plug in.

[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]

Answer:

epic

Step-by-step explanation:

Answer:

The name of the shape that looks like a rectangle is a square

Answer: 800 envelopes

Step-by-step explanation:

Sam and her friends are working at a rate of 100 letters in envelopes per hour per person. So, if there are 4 people helping including sam, you just have to multiply 400 by 2 hours, which will give you 800.

Answer:

370 millimeters of compound B is needed for 666 millimeters of solution.

Step-by-step explanation:

Given that:

4 millimeters of compound A are used for every 5 millimeters of compound B.

The scientist wants to make 666 millimeters of solution.

Let,

x be the multiplier number of the compounds in the solution.

Then,

4x + 5x = 666

9x = 666

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{666}{9}\\x=74[/tex]

Millimeters of compound B = 5x = 5(74) = 370 millimeters

Hence,

370 millimeters of compound B is needed for 666 millimeters of solution.

Answer:

x=5 and y=-2

Step-by-step explanation:

The given system of equations are :

7x +y = 33  ....(1)

-7x + 6y = -47 ....(2)

We need to find the solution of the given equations.

Adding equation (1) and (2) we get :

7x +y + (-7x) +6y = 33+(-47)

7y = -14

y = -2

Put the value of y in equation (1).

7x +(-2) = 33

7x-2=33

7x=33+2

7x = 35

x = 5

Hence, the solution of the above equations are x=5 and y=-2

Answer: the third one

Step-by-step explanation:

Answer:

Imma Go With A

Step-by-step explanation:

Hope I Helped :)

Have A Good Day

Btw Let Me Know If I Did Help

Answer:

1 3/4, or 1.75

Step-by-step explanation: -0.25 + - 1.5 = 1.75

Answer:

77.6

Step-by-step explanation:

Given the data:

Weighting :

First exam = 20% ; second exam = 30% ; third exam = 50%

Scores :

First exam = 67 ; second exam = 84 ; third exam = 78

Weighted Average :

Σ(Weight * Score)

Σ[(0.2 * 67) + (0.3 * 84) + (0.5 * 78)]

13.4 + 25.2 + 39

= 77.6

Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.

= ∑ (Percentage of grade x Score in exam)

Solving gives:

= (20% x 67) + ( 30 % x 84) + (50% x 78)

= 13.4 + 25.2 + 39

= 77.6

Emily's weighted average is 77.6 marks.

Find out more on weighted average at https://brainly.com/question/14432034.

Answer:

13x=y

-3 + 16 = 13

13x=y

Answer:7 3/5

Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries

                                               ? blueberries    =5 1/3 strawberries

do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.

Hope it helps  . :)

Answer:

I made this so you can give the other guy brainlyeist.

Step-by-step explanation: