HELP WITH 20 PLEASE!

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (

vesna_86 [32]

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

$y'=6x^2+6x-12$

Next, find the zeros of y' by factoring.

$6(x^2+x-2)=0 \\ x = -2, x = 1$

Now, we substitute these x-values into the original equation to find the coordinates.

$(-2,21), (1,-6)$

6 0

3 years ago

Multiply : 1 2/5 x 1/4

777dan777 [17]

Answer:

0.35

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a

Anna [14]

Answer:

Option A is correct.

The given expression : $\frac{a}{4} = \frac{9}{a}$ then;

$a^2 = 36$

Step-by-step explanation:

Given the expression: $\frac{a}{4} = \frac{9}{a}$

Cross multiplication the given expression following steps are as follow;

Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction

Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.

then, set the two products equal to each other.

Using cross multiplication, on the given expression;

$\frac{a}{4} = \frac{9}{a}$

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

$\frac{a \times a}{4} = 9$

Simplify:

$\frac{a^2}{4} =9$ [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

$a^2 = 9\times 4$

Simplify:

$a^2 = 36$

Therefore, the given expression is equal to: $a^2 = 36$

6 0

3 years ago

Read 2 more answers

Sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have

malfutka [58]

Answer:

a - 48

Step-by-step explanation:

12 cups are divided into 1/4 cup bags.

Converting 12 into a fraction, you get:

12/1 divided by 1/4.

When we divide fractions, we flip the second fraction and change the operation to multiplication.

12/1 * 4/1.

Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.

12 * 4 = 48.

4 0

2 years ago

An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th

lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

$P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}$

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

$P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}$

Finally, the probability of picking two balls of the same colour is

$P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}$

7 0

2 years ago