Factor the trinomial below 12x^2-11x-36

Answers

Answer 1

Answer:

The factors of the trinomial are $(4x-9)(3x+4)$ .

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For the given situation,

The trinomial is 12x^2-11x-36.

The given trinomial is a quadratic equation.

The quadratic equation can be factored as

⇒ $12x^2-11x-36$

⇒ $12x^2-27x+16x-36$

⇒ $3x(4x-9)+4(4x-9)$

⇒ $(4x-9)(3x+4)$

Hence we can conclude that the factors of the trinomial are $(4x-9)(3x+4)$ .

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Answer 2

Answer:

Step-by-step explanation:

12x2 - 11x - 36

12x2 - 27x + 16x - 36

3x (4x - 9) + 4(4x - 9)

(4x - 9) and (3x + 4) are the factors

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Of the 120 wax statues in Tara's Wax Museum, 15% are statues of celebrities. How many wax statues of celebrities are in the museum?

Answers

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Whats the difference of 89,24&17

Answers

To find the "difference of"You will need to subtract.
So you need to subtract 8924-17
and that gives you 8907
Therefore the answer is 8907.

Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters (ml) of fruit punch. The amount of orange juice combined was x ml. The amount of pineapple juice combined was 100 ml more than the amount of orange juice, and the amount of strawberry juice was half the amount of orange juice. This is represented in the equation below:x + (x + 100) + one half x = 1850

What was the difference in the amounts of pineapple juice and strawberry juice Martin combined?

Answers

The answer is 450 ml.

First, we need to solve x (the amount of orange juice):
x + (x + 100) + one half x = 1850
x + x + 100 + 1/2 x = 1850

We can represent 1/2 as 0.5:

2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.

Thus, in the fruit punch, there is 700 ml of orange juice.

The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).

The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).

The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - 350 ml of strawberry juice = 450 ml.

Answer:

450 ml

Step-by-step explanation:

450ml we have and then we can plug into equation if Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters and we divide and get 450 ml

Please help the question is in the picture x

Answers

$E\to1\ *\ 1\ *\ 24\n\nF\to1\ *\ 2\ *\ 12\n\nG\to1\ *\ 3\ *\ 8\n\nH\to1\ *\ 4\ *\ 6\n\nI\to2\ *\ 2\ *\ 6\n\nJ\to2\ *\ 3\ *\ 4$

E is 1 x 1 x 24
F is 1 x 2 x 12
G is 1 x 3 x 8
H is 1 x 4 x 6
I is 2 x 2 x 6
J is 2 x 3 x 4
Happy to Help!

Complete the following equation using <, >, or =

100% ___ 1

Answers

In the question "Complete the following equation using <, >, or =. 100% ___ 1" The correct answer is 100% = 1. A percentage is a number or ratio expressed as a fraction of 100. To convert a given percentage to its equivalent number, we divide the given percent by 100. Therefore, 100% = 100 / 100 = 1.

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week.a) How many ants will be there after :
i. 10 weeks
ii. 20 weeks

b)How many weeks will it take for the ant population to reach 2000.

Answers

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

$A=P(1+r)^x$

$\implies A=500(1+0.12)^x=500(1.12)^x$

a) (i) If x = 10 weeks,

The number of ants would be,

$A=500(1.12)^(10)=1552.92\approx 1553$

(ii) If x = 20 weeks,

The number of ants would be,

$A=500(1.12)^(20)=4823.15\approx 4823$

b) If A = 2000

$\implies 2000 = 500(1.12)^x$

$4=(1.12)^x$

Taking log both sides,

log(4) = xlog(1.12)

⇒ x = 12.23 ≈ 12 weeks

A)4, 823
B)13 Weeks

A: 500 (1 + .12)^x (which is 500 (1 + .12)^20 now)
= 4823. 15 which is ≈ 4823.

B: 2000/ y1 = 500 (1 + .12)^x / y2

12.23 so 13 weeks

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