Graph y = -4x2 - 2 and its inverse

Answers

Answer 1

Answer: The function and it's inverse are graphed in the attached diagram.

For y -intercept is $x=0$ . This implies

$y=-4(0)^2-2$

$y=0-2$

$y=-2$

For x-intercept, $y=0$ , This means that,

$0=-4x^2-2$

$-(1)/(2)=x^2$

The above equation tells us that, the above equation has no real roots. Hence the graph has no x-intercept.

Also the value $a=-4<0$ , tells us the graph is a maximum graph.

THE INVERSE OF y

$y=-4x^2-2$

Interchange x and y.

$x=-4y^2-2$

Make y the subject to obtain,

$y^(-1)=\pm (√(-x-2))/(2)$ .

for x<-2.

You can now find the intercepts, with some few points to graph the inverse.

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Which function has the greatest rate of change?A.
6x – 7y = 21

B.
y = 2x – 2

Answers

Rate of change is the slope.

6x - 7y = 21

Convert to slope-intercept form(y = mx + b):

Subtract 6x to both sides:

-7y = -6x + 21

Divide -7 to both sides:

y = 6/7x - 3

Now it's in the form of y = mx + b, where 'm' is the slope. So the slope here is 6/7.

y = 2x - 2

This is already in slope-intercept form, so the slope here is 2.

For function C, take any two points and plug them into the slope equation.

m = y2-y1/x2-x1

(2, 7)
(3, 1)

m = (1 - 7)/(3 - 2)

m = -6/1

m = -6

So the slope of function C is -6.

(1, 2) and (-1, -4)

m = y2-y1/x2-x1

m = (-4 - 2)(/(-1 - 1)

m = -6/-2

m = 3

So function D has the highest rate of change.

*** Function C and D information based on the comments below ***

What is 31.6 divided by 2?

Answers

I got 15.8 so da first person is right!! good job

Annaka used partial quotients to divide 145 by 5. What can be a partial quotient?

Answers

In partial-quotients division, it takes several steps to find the quotient. At each step, you find a partial answer (called a partial quotient); then you find the product of the partial quotient and divisor and subtract it from the dividend. Finally, you add all the partial quotients to find the final quotient.

See the attached figure.

So, the answer is ⇒ 29

What happens to the quotient when the divisor increase

Answers

the quotient decreases

The quotient is going to increase because they both copy each other. If the quotient decreases, then the divisor would decrease. And the same vice versa.

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