What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3?
O A. -8
B.-4
O O
C. 8
O D. 4

Answer:

suplementary

Step-by-step explanation:

Step-by-step explanation:

14x + 4 = 39

14x= 39-4

14x=35

x= 35/14

Using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Carpooling can be described as when two or more people share a one vehicle together to travel to a destination, thereby reducing cost by sharing the cost of fuel, tools, and other expenses associated with driving.

Thus, if you are using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Learn more about carpooling on:

https://brainly.com/question/1060521

2-1/4 is just 2. (-1/4)

And it is equals to -1/2

Answer:

A. 4 inches

Step-by-step explanation:

Applying,

P = 2(L+W)............. Equation 1

Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.

make W the subject of the equation

W = (P/2)-L............ Equation 2

From the question,

Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches

Substitute these values into equation 2

W = (32/2)-12

W = 16-12

W = 4 inches.

Hence the right option is A.

Answer:

-4

Step-by-step explanation:

hope this helps

have a great day/night :)

Answer:

[tex]s=20[/tex]

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.

In other words:

[tex]4s=(3s-20)+(2s)[/tex]

Solve for s. Combine like terms:

[tex]4s=5s-20[/tex]

Subtract 5s from both sides:

[tex]-s=-20[/tex]

And divide both sides by negative one. Therefore:

[tex]s=20[/tex]

Answer:

24ft,36ft2

The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area

Step-by-step explanation:

Perimeter = 6*4= 24feet

Area=          6*6= 36feet2    

Answer:

below

Step-by-step explanation:

base * height = area of a parallelogram

7/2 × 3/4

=21/8 feets

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

[tex]g=582-b[/tex]

In the first equation, we can divide both sides by five:

[tex]3b+2g=1296[/tex]

Substitute:

[tex]3b+2(582-b)=1296[/tex]

Distribute:

[tex]3b+1164-2b=1296[/tex]

Simplify:

[tex]b+1164=1296[/tex]

Solve for b:

[tex]b=132[/tex]

Using the modified equation again, substitute:

[tex]g=582-(132)[/tex]

Evaluate:

[tex]g=450[/tex]

Therefore, 132 people bought balcony seats and 450 people bought ground seats.

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(3)^2+4^2}[/tex]

On further simplification, we get

[tex]CD=\sqrt{9+16}[/tex]

[tex]CD=\sqrt{25}[/tex]

[tex]CD=5[/tex]

The distance from point C to D is 5 units. Therefore, the correct option is A.

Answer:

19

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

Answer:

The tip would be $1.44, so the total would be $13.44

Step-by-step explanation:

To find the tip you take the bill ($12), and multiply it by the percent of tip given (12%), but it has to be in decimal form. 12% in decimal form is .12. 12 times .12 is 1.44. Add $12 to that to get $13.44.

Answer:

Step-by-step explanation:

You could do this a couple of ways. The first and easiest is to change 12% to a decimal. 12% = 12/100 = 0.12

Add this onto 1.

1 + 0.12 = 1.12

Multiply this number by

12*1.12 = 12(1 +0.12)     Remove the brackets

12*1  + 1.44

Haircut + tip = 13.44

Of course, it would be much shorter to do it 12*1.12 = 13.44

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.

Answer:

1277.5

Step-by-step explanation:

365 days in a year. If he walks daily 3.5 miles, then 3.5*365

3.5*365= 1277.5

Answers:

=====================================================

Explanations:

Answer:

1) B

2) 17 1/3

Step-by-step explanation:

1)

It's B because a proportional relationship doesn't add a number at the end.

It's on y = kx, where k = 1/4 in this case.

2)

9x = 35

x = 3 8/9

6x = 17 1/3

9514 1404 393

Answer:

  A.  54

Step-by-step explanation:

The area of a parallelogram is the product of its base length (9) and height (6). The height is measured perpendicular to the base. That is why the height it 6, not 6.06.

  A = bh = 9·6 = 54

Answer:

the area of the circle is the number of boxes in the box minus no .of boxes in circle....

hay claudia do u remember me

Answer:

-13, -3

15, 2.6

Step-by-step explanation:

x, y are the numbers

x = 5y + 2

x×y = 39

(5y + 2)×y = 39

5y² + 2y - 39 = 0

the solution of a quadratic equation :

y = (-b ± sqrt(b² - 4ac))/2a

a = 5

b = 2

c = -39

y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =

= (-2 ± sqrt(4 + 780))/10 =

= (-2 ± sqrt(784))/10 = (-2 ± 28)/10

y1 = (-2 + 28)/10 = 26/10 = 2.6

y2 = (-2 - 28)/10 = -30/10 = -3

x1 = 5×2.6 + 2 = 13 + 2 = 15

x2 = 5×-3 + 2 = -15 + 2 = -13

Answer:

I believe it is $3.

Explanation:

m=sum/number

m=12/4 which is 3.

I hope this helps!

Answer: C. The y-intercept is 13 spaces lower.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x-9+2+9x=180 degree(being co interior angles)

17x-7=180

17x=180+7

x=187/17

x=11 degree

Answer:

11

Step-by-step explanation:

consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.

8x-9 + 2+9x = 180

-7 + 17x = 180

-7+7     180+7 = 187

17x = 187

17x/17 = 187/17

x=11

Answer:

2

Step-by-step explanation:

To find the average rate of change, we use:

[tex]\frac{changeofy}{changeofx} =rate ofchagne[/tex]

To find this lets look at the graph.

We see that at x=2, y=-3, and at x=3, y=-1.

The change of y is the first y coordinates minus the second, which in this case is:

-3-(-1)=-2

Change is the absolute value of the 1st and 2nd y. So its really a change of 2, not -2.

Our change of x falls under the same formula, being:

2-3=-1, but really being 1.

Now to plug this into our first formula:

2/1=2

So the rate of change is 2.

This seems to be your first answer.

Hope this helps!

Answer:

-x²+8x-15

Step-by-step explanation:

There are two solutions: 3 and 5

First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):

(x-3)(x-5)

For resolve our problem, let's re-write it with a minus before:

-(x-3)(x-5)

You can also expand it and the result will be like this:

-x²+8x-15

Answer:

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).

[tex]f(x)=4x^3-9[/tex]

Inverse operations,

[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]

Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,

[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!

Answer:

Quadrant IV or D

Step-by-step explanation:

It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.