The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.

Answer:

Step-by-step explanation:

9(c+7)=27

9c+63=27  subtract 63 from both sides

9c=  -36  divide by 9

c= -4

3(2r-8)+4r=76 foil

6r-24+4r=76 combine like terms

10r-24=76 add 24 to both sides

10r+100  divide by 10

r= 10

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

Answer:

B

Step-by-step explanation:

Because,

t= the amount of money

w= weeks

+ the 15 when she washed the car

Answer:

0.375 seconds

Step-by-step explanation:

In simple terms, to find the time it took to reach the ground, we need to find t from the equation.

If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.

[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]

We can now equate this to its velocity and solve for t

10 = -32t +4

t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)

Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.

(We need to account for the fact that the fireworks went up and came down)

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

Answer: -1/27

Step-by-step explanation:

Answer:

-1/27

Step-by-step explanation:

Answer:

x-intercept(s): (3,0)

y-intercept(s): (0,−2)

Step-by-step explanation:

Answer:

x=3 and y=-2

Step-by-step explanation:

2x - 3y = 6

cancel out the y

2x - 3(0) = 6

2x = 6

divide both sides by 2

x = 3

2x - 3y = 6

cancel out the x

2(0) - 3y = 6

-3y = 6

divide both sides by -3

y = -2

Hope this helps!!

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

Answer:

perimeter of shaded region:

area of rectangle- area of semicircle

l×b‐(pie r²) diameter of circle‐6m; Radius‐3

8×6‐(3.14×3×3)

42— 28.26=13.74m

HOPE IT WILL HELP YOU

wow that's a lot lol

1. slope = 0

2. slope = -5

3. slope = 5

4. slope = 0

5. slope=  -1

6. slope = -1/2

7. slope = 3

8. slope = -1/10

9. slope = 1/2

10. slope = -1/2

Explanation :

I won't explain every question because that'll take forever but I can explain one step by step.

An example is number 5

You have the points, ( -4 , 5 ) ( 1 , 0 )

You need to use the SLOPE FORMULA

So first put an x1 and y1 below the points -4 and 5.

then put x2 and y2 below the points 1 and 0

the slope formula is   m = y2-y1/x2-x1

plug in the numbers which will look like

0-5/1+4

It's plus 4 instead of -4 because a negative and negatives gives you a postivie

Simplify and you get m = -1

Answer:

Yes

Step-by-step explanation:

This is a function because each x value is given one y value. More simply, no x value was repeated.

Answer:35

Step-by-step explanation:

take 180 and subtract those numbers and u get ur answer

Answer:

26

Step-by-step explanation:

from what I got lol , your welcome and have a nice day

Answer:

5/9

Step-by-step explanation:

You can verify me by using the y2-y1/x2-x1 formula

Answer:

y = -0.6x + 24.6

Step-by-step explanation:

Answer:

The answer is 10 or 10/1

Answer:

C = 2.75

Step-by-step explanation:

it does not tell how much there for it is 1 gallon

Answer:

40

Step-by-step explanation:

The initial value of the function is 40, which represents the amount of money she deposits each week

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Answer:

20.62 feet

Step-by-step explanation:

The ladder propped against a building forms a right angle triangle

Height of the ladder (hypotenuse) = 21 feet

Base of the ladder from the building (adjacent) = 4 feet

Height of the building (opposite) = x feet

Hypotenuse ² = opposite ² + adjacent ²

21² = x² + 4²

21² - 4² = x²

441 - 16 = x²

425 = x²

x = √425

= 20.62 feet

Answer: 20.62 ft or rounding it to 20.6 ft

Step-by-step explanation:

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

Read more about arrangements at:

https://brainly.com/question/6032811