All categories

3 years ago

Identify the x-intercepts by factoring and solving m^3 + 4m^2 - 6m -24 = 0

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

Answer:

m = -4 or m = sqrt(6) or m = -sqrt(6)

Step-by-step explanation:

Solve for m:

m^3 + 4 m^2 - 6 m - 24 = 0

The left hand side factors into a product with two terms:

(m + 4) (m^2 - 6) = 0

Split into two equations:

m + 4 = 0 or m^2 - 6 = 0

Subtract 4 from both sides:

m = -4 or m^2 - 6 = 0

Add 6 to both sides:

m = -4 or m^2 = 6

Take the square root of both sides:

Answer: m = -4 or m = sqrt(6) or m = -sqrt(6)

You might be interested in

Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: Ho

Nikolay [14]

Answer:

Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.

Step-by-step explanation:

Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.

7 0

2 years ago

A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If you use 6 teaspoons of vanilla, how many c

SCORPION-xisa [38]

Answer:

15 cups of flour

Step-by-step explanation:

if the vanilla is going from 2 - 6 then it is being multipled by 3. Therfore you should multiply the flour (5) by 3, which makes the total flour to be 15 cups.

3 0

2 years ago

Read 2 more answers

Lines a and b are parallel and lines e and f are parallel.

ratelena [41]

Answer:

Step-by-step explanation:

shown in the image. hope it helps :)

4 0

2 years ago

Read 2 more answers

1. Find m

Bess [88]

It's forming a circle so we know that together it's going to add up to 360. #1 is 66 because angle A trough E is straight and we have 90 on angle ACF and it's vertical to angle FCG. #2 is 125 because angle ACB is 24 because it's vertical to angle GCE. #3 is 114 because 90 and 24 is 114. #4 is 156 because 66 and 90 equal 156.
1. FCG = 66
2. BCD = 125
3. FCB = 114
4. ACG = 156

4 0

3 years ago

ASAP! Due tomorrow! 25 points! Read the word problem. Write an equation to represent the word problem. Solve the equation. Durin

Marrrta [24]

What you gotta take from this problem:

What Joe got during break = $2t+2$

What his sister gave him = $3t$

What he has total = 10 tadpoles.

Now to assemble this equation:

$2t+2+3t=10$

Now combine like terms to get $5t+2=10$

Subtract 2 on each side of the equation to get $5t=8$

Now you would divide 5 on each side and get $t=1.6$ , however since you can't have a .6 of a tadpole, you would have to round it up to 2.

7 0

3 years ago