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3 years ago

Factor completely x3 + 8x2 − 3x − 24.

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

Step-by-step explanation:

$x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)$

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Help with this math question please

Step2247 [10]

The base of log is 10. So raising both sides to 10, we get:

$10^{0.94} = 10^{ log_{10} x} \\ \\ 
 10^{0.94}=x \\ \\ 
x= 8.71$

S, rounding of to nearest hundredth, the value of x in the equation 0.94 = log(x) comes out to be 8.71.

3 0

3 years ago

2.7 is greater than equal to b + 5? Solve

Semenov [28]

The answer: - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
_____________
Explanation:
_________________
Assuming we have:
_______________________
2.7 is greater than <u><em>or</em></u> equal to "(b + 5)";
_______________________________
We would write:
_________________
→ 2.7 ≥ b + 5 ;
_________________
→ Subtract "5" from EACH side:
_________________
→ 2.7 − 5 ≥ b + 5 − 5

→ - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
____________________

7 0

3 years ago

Find the LCM and solve, it's very very urgent.

xeze [42]

Answers:

please see the attached picture for full solution..

Hope it helps....

Good luck on your assignment...

7 0

3 years ago

Somebody help and explain!!!

Maslowich

Answer: The midpoint of segment PQ is the number 2.5

note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2

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Explanation:

Apply the midpoint formula to get the midpoint of -8 and 6

We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1

So point Q is at -1 on the number line, which is exactly halfway from R to P

Focus on just points P and Q now. Apply the midpoint formula again

Q = -1

P = 6

(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5

So the midpoint of segment PQ is 2.5

The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.

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3 years ago

Lita,Kala, and Rose entered a typing competition. Lita typed 2 times as fast as Kala. The ratio of the number of words Kala type

Jobisdone [24]

If the ratio from Kala to Rose is 4:1, then for the 48 words Rose typed Kala typed 192 words. 48*4=192
Then Lita types twice as fast so 192*2=384.
It should be 384 words.

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3 years ago