Which quadratic function is represented by the graph?

Answer:

a) 186

b) 6

c) 42

Step-by-step explanation:

[tex]f(x) = m {x}^{2} - 6x - 3[/tex]

f'(1) = 12

f'(x) = 2mx - 6

12 = 2(1)m - 6

12 - 6 = 2m

[tex] \frac{2m}{2} = \frac{6}{2} [/tex]

[tex]m = 3[/tex]

[tex]f(x) = 2 {x}^{2} - 6x - 3[/tex]

a)

f(9) = 3( 9)^2 - 6(9) - 3

f(9) = 186

b)

f( 3) = 3( 3)^2 - 6( 3) - 3

f(3) = 6

c)

f( - 3) = 3( - 3)^2 - 6( - 3) - 3

f(-3) = 42

Answer: Im not sure

Step-by-step explanation:

don’t even pay attention to this

Answer:

24

Step-by-step explanation:

Area = 216

The area of triangle = 1/2 b * h

Since height = 18 --> 1/2 b * 18

so,

216 = 1/2 b * 18

Divide both sides by 18

12 = 1/2 b

Divide both sides by 1/2, (which is the same as multiplying both sides by 2)

24 = b

Answer:

24 inches

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Height of sign: 18 inches} \\ \bullet \ \text{Area of Yield sign: 216 inches}^{2}[/tex]

The yield sign shown here is a triangle. Therefore, the question is asking to find the base of the triangle. Keep in mind that the area of a circle is 1/2 multiplied by the base multiplied by the height.  

[tex]\implies \text{Area of yield sign} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the height and the area in the equation and simplify.

[tex]\implies \text{216 inches}^{2} = \dfrac{1}{2} \times \text{Base} \times 18[/tex]

[tex]\implies \text{216 inches}^{2} =\text{Base} \times 9[/tex]

Divide both sides by 9.

[tex]\implies \dfrac{\text{216}}{9} =\dfrac{\text{Base} \times 9}{9}[/tex]

[tex]\implies24 \ \text{inches} =\text{Base}[/tex]

Answer:

- 10a² + a + 4

Step-by-step explanation:

( 12a² + 6a - 8 ) + ( - 22a² + 12 - 5a )

= 12a² + 6a - 8 - 22a² + 12 - 5a

= 12a² - 22a² + 6a - 5a + 12 - 8

= - 10a² + a + 4

Answer:

Step-by-step explanation:

Remark

There is an isolated plus sign in the middle so removing the brackets is going to allow you to collect like terms quickly and immediately.

Solution

12a^2 + 6a - 8 - 22a^2+ 12 - 15a     Group like terms together in pairs.

12a^2- 22a^2 + 6a - 15a - 8 + 12     Combine like terms.

Answer

-10a^2 - 9a + 4

Answer:

36

Step-by-step explanation:

you have to isolate your variable. To do this, you add 24 to each side. On the left side its 12+24 and on the right, its 24+(-24) which then equals zero. In simple terms, x=12+24

Answer:

x = 36

Step-by-step explanation:

Add 24 to 12 because 24 is minus, so when it is moved to the other side of the equation it is plus.

Answer:

$1.71

Step-by-step explanation:

Just took the test.

The cost of each juice bottle is $1.71.

Let, the cost of each juice bottle as "x".

Given:

Cost of chips = $2.94

Total cost before tax = $16.62

Isaac bought an 8-pack of juice bottles, so the total cost of the juice bottles is 8x.

The total cost of chips and juice bottles should be equal to the total cost before tax:

Cost of chips + Cost of juice bottles = Total cost before tax

$2.94 + 8x = $16.62

Now, solve for "x" the equation:

8x = $16.62 - $2.94

8x = $13.68

Divide both sides by 8:

x = $13.68 / 8

x = $1.71.

So, the cost of each juice bottle is $1.71.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ3

Answer:

false, because cos(x) has no definite answer, and equations aren't identities

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Sonia will take $57, and his grandparents will give another $78. 57 + 78 = 135. Sonia will have 135 dollars, but it is a 9 day vacation, so 135/9 = 15

Sonia will spend 15 dollars a day.

Answer:

where is the question?

Step-by-step explanation:

Answer:

109 - -37 = 146

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

Answer:Function 2

Step-by-step explanation:

Answer:

Answer. so -7/8, -6/8, -5/8, -4/8, -3/8, -2/8 are the six no.

Step-by-step explanation:

Answer:

do you hvae more imformation

Step-by-step explanation:

Answer:

[tex]\sf Slope =\dfrac{1}{8}[/tex]

Step-by-step explanation:

(0,2) ;  (8 ,3)

Slope:

[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

         [tex]\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}[/tex]

Answer:

I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

Answer:

5

ALL SIDES MUST BE THE SAME

Answer:

5 cm

Step-by-step explanation:

Answer:

[tex]\text Slope = \frac{1}{4}[/tex]

Step-by-step explanation:

the slope of the line that passes through the points

[tex]\large A\left( x_{1},y_{1}\right) \text{and} \ B\left( x_{2},y_{2}\right)[/tex]  

[tex]\large \text{slope} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

the slope of the line that contains the points (-1, 2) and (3, 3) is :

[tex]\Longrightarrow \text{slope} =\frac{3-2}{3-\left( -1\right) }= \frac{1}{4}[/tex]

Answer:

−x^3+5x^2-2x−12

Step-by-step explanation:

Step-by-step explanation:

The answer is 60°

because

360÷6 = 60

The equation that will tell him what the width of the rectangle can be is w = 50m² / length.

A rectangle is a 2-dimensional quadrilateral with four equal right angles. A rectangle has two diagonals that are equal in length and bisect each other.

Area of a rectangle = length x width

Width = area / length

width = 50m² / length.

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

B which is 2/4.

Step-by-step explanation:

Elin: worked for 2/4 + 1/4 = 3/4 of an hour on an assignment

Jocyln worked for 5/4 of an hour the same   assignment

The difference in time is 5/4 - 3/4 = 2/4 or 1/2 hour.

Note: when you subtract fractions, the denominators must be the same. What you subtract is the numerators (top part of the fraction).

Answer: Definition of midpoint

Step-by-step explanation:

Answer:

defintion of midpoint

Step-by-step explanation:

that is the proof

Answer:

16

Step-by-step explanation:

f ( x ) = 3x² - 2x

To find : f ( - 2 )

f ( - 2 ) = f ( x )

Here,

x = - 2

f ( - 2 ) = 3 ( - 2 )² - 2 ( - 2 )

           = 3 ( 4 ) - 2*( - 2 )

           = 3*4 + 4

           = 12 + 4

f ( - 2 ) = 16

Answer:

76 feet^3

Step-by-step explanation:

Well, since s is showed three times on the large box, we can say they are all the same lengths. So, if one side is 4 feet long, then all side length, are 4. So, 4*4*4. This gets us 64.

So the large box's volume is 64, and the small one, is 12. The total volume is them added. 64+12. This gets us 76.

The answer is 76 feet^3

Answer:

180-20 = 160 = sum of the other two angles

3/(3+5) = 3/8 x 160 = 60 degrees

5/(3+5) = 5/8 x 160 = 100 degrees

or in radians the other two angles are pi/3 and 5pi/9

Step-by-step explanation:

THIS ANSWER IS CORRECT

BRAIN LESS ANSWER

Answer:

0

Step-by-step explanation:

(2.2-2.2):2.2*100 =

(2.2:2.2-1)*100 =

100-100 = 0

Answer:

1 pound = .73 dollars rounded.

Step-by-step explanation:

This is like a rate question. Speed is in miles / hour only the units for this question is pound / dollar.

pounds = 33

dollars = 45

1 pound is 33/45

1 pound = 0.73

Answer:

L= 15

Step-by-step explanation:

L= 9m + 2n        Given Equation

L = 9 (3) + 2 (-6) Substitute values for their variables

L= 27 + 2 (-6)     Simplify multiplication

L= 27 -12            Simplify multiplication (remember a positive times a

                          negative is a negative)

L= 15 (Simplify)