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zheka24 [161]
3 years ago
8

Factorise 24e^2-28e-12

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

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Len [333]
17/10 is what ur looking for
6 0
4 years ago
Read 2 more answers
A single fair eight-sided doe is rolled.Find the probability of getting a number less than 6.
Harrizon [31]

The probability of getting a number less than 6 is: 5/8

Step-by-step explanation:

When a 8 sided fair die is rolled the event space is:

S = {1,2,3,4,5,6,7,8}

n(S) = 8

Let A be the event that the number is less than 6

A = {1,2,3,4,5}

n(A) = 5

So,

P(A) = \frac{n(A)}{n(S)}\\= \frac{5}{8}

The probability of getting a number less than 6 is: 5/8

Keywords: Sample, Probability

Learn more about probability at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

8 0
3 years ago
Is it true that: If f"(c) > 0, then the slope of
zheka24 [161]

Answer:

yes

Step-by-step explanation:

the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.

the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).

so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.

but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.

there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).

but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.

3 0
2 years ago
-8x+7+6=-3<br> Answers <br> No solution<br> -1 <br> 4<br> 2
Natali5045456 [20]

Answer:

It's 2

Step-by-step explanation:

Because

-16/-8=2

7 0
3 years ago
PLEASE HELP WITH THIS
olga_2 [115]

Answer:

7^3 = 343 is equivalent to 3 = log to base 7 343 so the base of the logarithm 7^3 is 7

5 0
3 years ago
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