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3 years ago

Describe of the graph of function y=4x^3+16

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

7 0

Answer:

Graph the cubic using its end behavior and a few selected points. Falls to the left and rises to the right.

Graph:

X | Y

-2 | -16

-1 | 12

0 | 16

1 | 20

2 | 48

Function of X:

To rewrite as a function of x f (x) write the equation so that y is by itself on one side of the equal sign and an expression involving only x is on the other side.

F(x) = 4x^3 + 16.

Hope I Helped!

Have a Fantastic Day!

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The given line passes through the points (-4, -3) and (4,

drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

8 0

3 years ago

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was

Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

H₀: The proportions does not differ from those reported in the survey.

Hₐ: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The p-value of the test is:

$p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000$

The p-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0

3 years ago

11/6=n+7/9 what does n equal

SVEN [57.7K]

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

3 0

2 years ago

Read 2 more answers

Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the distance directly from

OLEGan [10]

Answer:

10 mi

Step-by-step explanation:

In this question you have to use Pythagorus Theorem. a²+b²=c²

a = 15

b = 20

So, 15²+ 20² = c²

= 225 + 400 = 625

So Ferris to Butte is $\sqrt{625}$ which is 25.

So now you would do 15 + 20 to find out Wayne's distance. 35 - 25 = 10.

Hope it made sense and I didn't waffle

7 0

3 years ago

Read 2 more answers

B is the midpoint of AC, E is the midpoint of BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D

Vadim26 [7]

Answer:

(-3, -7)

Step-by-step explanation:

Let $(x_{A,}y_{A}),(x_{B},y_{B}),(x_{C,}y_{C}),(x_{D,}y_{D})(x_{E,}y_{E)} \text{be the coordinates of points A, B, C respectively}\\\\$

The midpoint coordinates $(x_{M},y_{M})$ of any two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are given by $x_{M}=\frac{(x_{1}+x_{2)}}{2}$ and $y_{M}=\frac{y_{1}+y_{2}}{2}$