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3 years ago

X2 + 11x + 24 Factor the expression

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

(x + 8)(x + 3)

Step-by-step explanation:

Given

x² + 11x + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 11)

The factors are + 8 and + 3 , since

8 × 3 = + 24 and 8 + 3 = + 11 , then

x² + 11x + 24 = (x + 8)(x + 3) ← in factored form

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A box on kitty litter is 8 3/4 inches tall. How many boxes can be stacked on a shelf in the warehouse that is 40 inches tall?

Tasya [4]

Answer:

Probably about 4 boxes

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3 years ago

Find the radius of a circle with an area of 16x^2+24x+9

Diano4ka-milaya [45]

Area of circle =π *r^2
so π*r^2 = π(16x^2 + 24x + 9)
r^2 = 16x^2 + 24x + 9
= (4x +3)(4x+3)
= (4x +3)^2
Take square roots of both sides
r = 4x +3

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3 years ago

Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

$x=\frac{\pi }{8}$

7 0

4 years ago

Antonio deposits $1,750 into an account that earns 5% interest compounded daily. How much interest does he earn after 1 day?

Natali [406]

Answer:

He earns $0.24 in interest after 1 day.

Step-by-step explanation:

Compound interest:

$A(t)=P(1+\frac{r}{n})^{n\ast t}$

In which:

P is the principal, the amount of the initial deposit.

r is the yearly interest rate, as a decimal.

n is the number of compoundings during a year.

t is the number of years.

In this question:

Deposit of $1,750, so P = 1750.

Interest rate of 5%, so r = 0.05.

Compounded daily. A year has 365 days, so n = 365.

After 1 day. 1 day is 1/365 of an year, so t = 1/365.

The amount he will have after one day will be:

$A=1750(1+\frac{0.05}{365})^{\frac{1}{365}\ast365}=1750(1+\frac{0.05}{365})=1750.24$

The interest earned will be:

Amount after 1 day subtracted by the deposit.

Deposit of $1,750.

After 1 day, he will have $1,750.24.

1750.24 - 1750 = 0.24

He earns $0.24 in interest after 1 day.

6 0

1 year ago

M – 4.7) = 3.5 = 1<br> what value of m makes the equation true

GREYUIT [131]

The value of m which makes the equation true is; 8.2

<h3>How to solve one variable equations</h3>

The given equation is;

m – 4.7 = 3.5

The value of m, for which the equation is true can be evaluated as follows;

m – 4.7 = 3.5

Add 4.7 to both sides of the equation to isolate m.

m - 4.7 + 4.7 = 3.5 + 4.7

m = 8.2

A one variable equation also known as linear equation is an equation in which one unknown variable is solved for.

Therefore, the value of m which makes the equation true is; 8.2

Read more on one variable equations;

brainly.com/question/21528555

3 0

3 years ago