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2 years ago

What is the product of (x2 + 3x + 9) and ( 2x + 7)?

Mathematics

1 answer:

Afina-wow [57]2 years ago

3 0

Answer:

Ez 1+1=3 Duh

Step-by-step explanation:

<h2>You add 1 to 1 it will become 3</h2>

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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 4 minutes and a stand

DedPeter [7]

Answer:

3.24 minutes

Step-by-step explanation:

Use a calculator or chart to find the z-score.

P(Z > z) = 0.60

P(Z < z) = 0.40

z = -0.253

Find the time associated with the z-score.

z = (x − μ) / σ

-0.253 = (x − 4) / 3

x = 3.24

6 0

3 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eat

pshichka [43]

Answer:

Test statistic:

z = (0.67 - 0.63) / 0.033 = 1.21

p - Value = P(z > 1.21) = 0.106

My conclusion: Fail to reject null hypothesis

No, there is no evidence of a difference

3 0

3 years ago

PLZZZZZZ HELPPP ME!!!! Which of the following could be used as a justification that 3x^2+10-8 is not prime over the set of ratio

butalik [34]

Answer: the awnser is c

Step-by-step explanation:

8 0

3 years ago

21 POINTS!<br><br> what is value of x?

defon

Answer:

Step-by-step explanation:

Using the Pythagorean theorem:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

4 0

3 years ago

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