2y^3-18y^2+9y-81<br> Factor the polynomial completely

Harlamova29_29 [7]

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

$\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}$

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

$\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark$

Because we ended up with a true statement, we have determined that the value of x is -29.

6 0

2 years ago

Can someone please help me with my homework maths please. thanks

mario62 [17]

Answer:

35 blocks are given to the class

Step-by-step explanation:

she has 19 pounds which she divides into 1/2 pounds

19/1/2

38 blocks

she keeps 3 of the blocks and gives the rest away

38-3

35 blocks

4 0

2 years ago

Dwayne's family has many pets. at the house they have both cats and birds. between all the cats and birds, they have 16 eyes and

densk [106]

Let C be the number of cats and B be the number of birds.
Each cat has 4 legs while each bird has 2 legs. Thus,
4C + 2B = 22
2B = 22 - 4C

Each cat and each bird has 2 eyes
2C + 2B = 16
Substituting 2B
2C + 22 - 4C = 16
2C = 6
C = 3
2B = 22 - 4(3)
B = 5

2 cats and 5 birds

6 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

Gemiola [76]

Answer:

4x + 3y + 9 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

$(y - y_1) = m (x - x_1)$