All categories

3 years ago

Please someone help

Mathematics

1 answer:

Volgvan3 years ago

4 0

Its -1,3

y=4x2+8x+7

There is a formula for finding the vertex= y=ax2+bx+c

h=−b2a and k=c−b24a

Solve for h with a=4 and b=8 and c=7

h=−b2a=−82⋅4=−1

=−b2a=−82⋅4=−1

Solve for k

k=c−b24a=7−824⋅4=7−6416=7−4=3

Our vertex is at (−1,3)

y=4x2+8x+7 with vertex at (−1,3)

You might be interested in

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

14 is what percent of 28?

Butoxors [25]

50%. If you divide 28 by 14, (14/28), you’d get 0.5. Move the decimal place two places to the right, and that’s 50% :)

7 0

2 years ago

Read 2 more answers

If you roll two fair dice (one black die and one white die), in how many ways can you obtain a 1 on the white die? A 1 on the wh

Allisa [31]

Answer:

Step-by-step explanation:

Sample space of the experiment

first number in the bracket is white die and second number in the bracket is black

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

As it can be seen that the first numbers in the bracket are (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

∴1 on the white die can be obtained in 6 ways

7 0

3 years ago

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

lozanna [386]

Hello. I cannot see the images if you show them I’ll answer

8 0

3 years ago

Read 2 more answers

What would x be in 5x=55

BabaBlast [244]

Answer:

5x=55

Divide both sides by 5 to solve for x

5x/5=55/5

x=11

8 0

3 years ago

Read 2 more answers