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3 years ago

2.

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

Answer:

With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:

y = a(x - h)2 + k

y = -3(x - 0)2 + 3

y = -3x2 + 3

Step-by-step explanation:

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Select all equations that are equivalent to x2 + 6x= 16.

ch4aika [34]

Answer:

(b) c2+6x+9=16

(e) (x+)2=16

Step-by-step explanation:

3 0

3 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

Anton [14]

Answer:

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size $n=23$

Population mean $\mu=9.02cm^3$

Sample mean $\=x=8.16$

Standard deviation $\sigma=0.7cm^3$

Significance level $\alpha =0.01$

Generally the Null and and alternative Hypothesis are as follows

$H_0:\mu=9.02cm^3$

$H_a:\mu$

Therefore t critical Value is

$t\ critical\ Value=(\alpha,df)$

$t\ critical\ Value=(0.01,22)$

Where

$df=n-1\\\\df=23-1=>22$

Therefore

From t Table

$t value=-2.8$

Generally the equation for Z Critical is mathematically given by

$t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }$

$t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }$

$t=-5.89$

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

4 0

3 years ago

(14x^3+2x-3) - (16x^3+7x-8)

yaroslaw [1]

Answer:

-1352x

Step-by-step explanation:

Because x never got a value and then so it stands there.

8 0

3 years ago

Read 2 more answers

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.

Pavlova-9 [17]

L = 1 in
w = 5 in
h = 3 in
d = 5.9160797830996 in
S = 46 in2
V = 15 in<span>3
i don't know which one your looking for so i solved for all the measure hope i hepled
</span>

6 0

3 years ago

Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on th

Otrada [13]

here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of

the ball from the time it hits the ground until it lands on the floor is represented by

f(x) =-4(x - 5)2 + 12

Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?

Answer:

12ft

step by step explanation:

This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,

that is the maximum height is 12 ft.

we have The equation of a parabola with vertex (h, k) to be

f(x) = a(x -h)² + k

when put in Comparison to your question function, we get that

a=-4

h=5

k=12

so the vertex (h, k) = (5, 12).

5 0

3 years ago