Solve x2 – 4х + 1 = 0. x 2 + 215 оооо х = 4 + 3 0 х 2 + 3 x = -2 + 3

Sladkaya [172]

Answer:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0 x=-4 x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

5 0

3 years ago

IS 7 LESS THAN OR GREATER THAN -3

aalyn [17]

Answer:

7 is greater than -3

Step-by-step explanation:

7 is positive meaning is more than any negative number

6 0

3 years ago

Read 2 more answers

Select the favorable outcomes for rolling doubles.

QveST [7]

By doubles as outcome means the first and second outcome must be same.

The first option has outcome as 1. (1-1) (2-2) (3-3) (4-4) (5-5) (6-6).

In this we have first and second outcome as same, so we can say it satisfies our requirement and option first is the correct choice.

8 0

3 years ago

Read 2 more answers

Nala is designing a piece of jewelry made of wire that has the shape shown below. It consists of two sides of a square and three

SVEN [57.7K]

Answer:

Option (3) is the answer.

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.

Perimeter of the whole figure will give us the length of wire needed to design the jewelry.

Perimeter of three fourth of a circle P(circle) = $\frac{3}{4}(2\pi r)$

Here, r = radius

P(circle) = $\frac{3\pi (3)}{2}$

= 14.14 cm

Perimeter of the complete (composite) figure = 14.14 + 3 + 3

= 20.13

≈ 20.1 cm

Therefore, Option (3) is the answer.

6 0

4 years ago

faith is taking out an 7,100, 3.5 year loan with a apr of 6.2% what is the monthly payment for this laon ? b what is the total a

Rudiy27

Answer:

a. $188.49; b. $7916.44; c. 816.44

Step-by-step explanation:

Part a. Monthly payment

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months at an annual interest rate

of i % is

$P = A(\frac{i}{1-(1+i)^{-n}})$

We must express the interest rate on a monthly basis.

i = 6.2 %/yr = 0.5167 %/mo = 0.005 167

A = $7100

n = 42 mo

$P = 7100(\frac{0.005 167 }{1-(1+0.005 167)^{-42}})$

$P = \frac{36.68}{1-1.005 167^{-42}}$

$P = \frac{36.68}{1-0.8053}$

$P = \frac{36.68}{0.1946}$

P = $188.49

Faith’s monthly payment is $188.49.

==============

b. Total payment

Faith makes 42 payments of $188.49.

Total payments = 42 × 188.49

Total payments = $7916.44

===============

c. Total interest

Total interest = total payments – principal

Total interest = 7916.44 – 7100.00

Total interest = $816.44

3 0

4 years ago