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3 years ago

The coordinate of M is 3.5 and MN

1 answer:

8 0

Subtract the point A x-coordinate from the midpoint x-coordinate (final-initial) to find the distance between them. This will give you 3. Multiply the by 2 because the midpoint is halfway between point A and B.

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

4 years ago

Read 2 more answers

If the car wheel rotates 5 times per second about how many miles does the car travel in one hour??

iVinArrow [24]

Answer:

18000

Step-by-step explanation:

If we want to find how many miles it travels in one hour, we need to find jow many seconds are in one hour because as the problem said, it's wheel rotates 5 times per second.

there are 3600 seconds in an hour, so we multiply 3600 by 5, and we get 18000.

The car travels 18000 miles in one hour.

8 0

3 years ago

If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc

pogonyaev

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

$A = P ( 1 + \frac{r}{n} )^n^t$

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = $25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6$

A = $25, 000(1 + 0. 75)^1^2$

A = $25, 000( 825. 00)$

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

brainly.com/question/2455673

#SPJ1

7 0

2 years ago

The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the

user100 [1]

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

$r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs$