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2 years ago

A parabola opening up or down has vertex (0, -2) and passes through (8, -18). Write its

Mathematics

1 answer:

madreJ [45]2 years ago

5 0

Answer:

f(x) = -1/4(x - 0)^2 - 2

Step-by-step explanation:

vertex form:

f(x) = a(x - h)^2 + k

1) put the vertex in the equation, ( (h, k) is the vertex)

f(x) = a(x - 0)^2 - 2

2) plug in the point (8, -18) to find the value of a

-18 = a(8 - 0)^2 - 2

-18 = a(64) - 2

-16 = a(64)

-16/64 = a

-1/4 = a

3) plug in the value of a into the equation

f(x) = -1/4(x - 0)^2 - 2

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Two distinct solid fuel propellants, type A and type B, are being considered for a space program activity. Burning rates of the

Finger [1]

Answer:

C.I. = (2.297, 11.703)

Step-by-step explanation:

The t-statistic for difference of mean is given by,

$t=\frac{\bar{x_{1}}-\bar{x_{2}}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}$

Here, $\bar{x_{1}}$ = 84

$\bar{x_{2}}$ = 7

s₁ = 4

n₁ = 12

s₂ = 6

n₂ = 18

Substituting all value in formula,

We get, t = -3.541 at 28 degree of freedom.

Using this formula, we get, t = 1.5342

Therefore, based on the data provided, the 99% confidence interval for the difference between the population means $\bar{x_{1}}-\bar{x_{2}}$ is: 2.297 < $\bar{x_{1}}-\bar{x_{2}}$ < 11.703

which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)

6 0

3 years ago

For a field trip, a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is 132.50

pochemuha

The answer is y=5x+7.5

8 0

3 years ago

Read 2 more answers

Solve each equation mentally.

motikmotik

16. 4 (9*4=36)
17. 6 (6*11=66)
18. 8 (10*8=80)
19. 9 (9*5=45)
20. 48 (4*12=48)
21. 13 (13*2=26)

7 0

3 years ago

Read 2 more answers

Can someone explain this

hodyreva [135]

Answer:

x² = V19²-10²

= V361-100

= V261

x = 16.2

3 0

3 years ago

13. Given the volume, V, of the rectangular prism below, find h, the height of the prism. V = (x ^ 2 + 2x)/(x + 1) l= 2x + 4 w=

NikAS [45]

Given:

Volume of a rectangular prism is:

$V=\dfrac{x^2+2x}{x+1}$

Dimensions of the rectangular prism are:

$l=2x+4$

$w=\dfrac{x}{8}$

To find:

The height of the rectangular prism.

Solution:

The volume of a rectangular prism is:

$V=l\times w\times h$

After substituting the values, we get

$\dfrac{x^2+2x}{x+1}=(2x+4)\times \dfrac{x}{8}\times h$

$\dfrac{x(x+2)}{x+1}=\dfrac{2x(x+2)}{8}\times h$

$\dfrac{x(x+2)}{x+1}\times \dfrac{8}{2x(x+2)}=h$

$\dfrac{1}{x+1}\times \dfrac{8}{2}=h$

$\dfrac{4}{x+1}=h$

Therefore, the correct option is C.

8 0

3 years ago