given the function f(x) = 8x2 -14x - 10, find f(-2)

Answer:

The answer is:

[tex]Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\[/tex]

Step-by-step explanation:

All vertices of its quadrilateral were co-ordinated;  

[tex]T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)[/tex] Therefore, we first undertake the operation correct: [tex]T(2, 0) \ QRST[/tex], there;

[tex]T(2, 0) \ QRST[/tex] [tex]\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)[/tex]

[tex]T(2, 0) \ QRST[/tex][tex]\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)[/tex]

A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y)  and we've got it;  

R y-axis [tex](T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)[/tex]From which we get [tex](Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).[/tex]

Answer: The answer is B 12

Step-by-step explanation:

Answer:

Please see the explanation.

Step-by-step explanation:

As we know that the slope-intercept form of the equation is

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

Now, comparing the given equations with the slope-intercept form

a) y = 4/5x + 3

Here:

m = 4/5

Therefore, the slope of the equation y = 4/5x + 3 is: m = 4/5

b) y = -x + 1

Here:

m = -1

Therefore, the slope of the equation y = -x + 1 is: m = -1

b) y = 2x

Here:

m = 2

y-intercept = b = 0       ∵ y = mx+b here b is the y-intercept

Therefore, the slope of the equation y = 2x is:

m = 2 and

y-intercept = b = 0

Answer: 4

Step-by-step explanation:

Answer:

Ok so the problem is what are we looking for how many miles was traveled? or what

Answer: 4.8

Hope this helped!

Answer:

Step-by-step explanation:

263

273

237

267

627

623

673

637

327

367

763

723

I dunno anymore. 12

Answer:

[tex]x=5\\y=5[/tex]

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

[tex]x=-\frac{3.2y-24}{1.6\\}[/tex]

2.6x+2.6y=26

−2.6y+39=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

​​

Answer:

1÷7 is the answer

Answer:

quoitent will be 0.086368

hope it help u dear

Answer:

7 units down

Step-by-step explanation:

it goes from 0 as intercept to -7

Answer:

in my opinion I would say your answer should be -7

Answer:

She must ride 4 or more times

Step-by-step explanation:

3t+ 10 ≥22

Subtract 10 from each side

3t+ 10-10 ≥22-10

3t ≥12

Divide each side by 3

3t/3 ≥12/3

t ≥4

She must ride 4 or more times

9514 1404 393

Answer:

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

Answer:

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.

Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?

✔ 6

Step-by-step explanation:

got it right on edge

Answer:

5

571

x 38

---------

4,568 <------571×

+3,213x <------571x

------------

36,698

Answer:

-1/5

Step-by-step explanation:

6/5=-18/x

6/5×-1/18=x

-1/15=x

Answer:

-15

Step-by-step explanation:

[tex]\frac{6}{5} = \frac{-18}{x}[/tex]

cross multiply

6 × x = -18 × 5

6x = -90

x = -90/6

x = -15

hope this helps you!

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180

Let, number of small and big pumpkin are x and y.

So, mathematical equation is given by :

x + y = 29    ...1)

3x + 5y = 105     ...2)

Putting value of x from equation 1 to equation 2, we get :

[tex]3(29-y ) +5y=105\\\\2y = 18\\\\y = 9[/tex]

So, x = 20

Therefore, number of small and large pumpkins are 20 and 9 respectively.

Hence, this is the required solution.

Answer:

Adding 7 to both sides of the equal sign

Step-by-step explanation:

Answer:

5%

1 of the 20 crayons is red, so...

1/20 = 5% or 0.05

Answer: 5%

Step-by-step explanation:

Answer:

10004

Step-by-step explanation:

Answer:

RT = 86

Step-by-step explanation:

23x - 6 = 2(15x - 17)

23x - 6 = 30x - 34

23x - 30x = - 34 + 6

-7x = -28 |÷(-7)

x = 4

RT = 23x - 6 = 23 × 4 - 6 = 92 - 6 = 86

Answer:

(0,-7) is the answer

Answer:

18x+8

-48x-24

4x+5

-48x-18

6x-16

30x-10

-24x+8

30x-10

10x-2

-9x+6

The answeres are in ordered so you dont get comfused.

I hope this help you! :)

Answer:

The answer is 254.72

Step-by-step explanation:

hope that helps

Change 53% to a decimal. Doing so, we get 0.53.

Let n = the number we are looking for.

The word "is" in math means to use the equal sign.

135 = 0.53n

Divide both sides by 0.53.

135/0.53 = 0.53n/0.53

254.7169811321 = n

Rounding to the nearest tenths, we get

n = 254.72

Done!