All categories

2 years ago

What are the solutions to this equation?

1 answer:

8 0

$\displaystyle\\(x-4)^2=49\\\\(x-4)^2-49=0\\\\(x-4)^2-7^2=0\\\\(x-4-7)(x-4+7)=0\\\\(x-11)(x+3)=0\\\\x-11 = 0~~~\text{or}~~~x+3=0\\\\x-11=0~~~\implies~~~\boxed{x_1=11}\\\\x+3=0~~~\implies~~~\boxed{x_2=-3}\\\\\boxed{\bf The~solutions~are:~~x =11~~\text{or}~~x =-3}$

You might be interested in

Can someone please help me, I don’t get this

leonid [27]

Answer:

Sure Amaya , the grouping is the parenthesis, right?

Step-by-step explanation:

so just add up.. the things outside of the parenthesis

- $4^{2}$ * 4

so exponents come first in the order of what to do... right?

$4^{2}$ =16 okay , got that part, the next part is

16 * 4 = 64 okay got that part, now

- 64 is what is subtracted from the grouping , got it?

4 0

2 years ago

$3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end o

Vedmedyk [2.9K]

Answer:

Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .

Step-by-step explanation

8 0

2 years ago

Jenny is diving into a swimming pool from a diving board. The expression below represents Jenny's vertical height x, in feet, ab

fredd [130]

Answer:

Step-by-step explanation:

The projectile motion of Jenny's dive can be represented by $-at^2 + v_0t + h_0$ where a is acceleration, v_0 is velocity, t is time, and h_0 is initial height.

Jenny's vertical height above the water is represented by $-16x^2+12x+10$ . 10 is h_0 and is Jenny's initial height.

4 0

3 years ago

Simply

Digiron [165]

Answer:

A.6^1/12

Step-by-step explanation:

3√6/4√6

when dividing the same base, subtract the powers.

(6^1/3)/(6^1/4)

6^(1/3-1/4)

6^(4-3)/12

6^1/12

option A is collect

5 0

2 years ago

Tomas buys a bag of 5 peaches for $3.55. Write and solve an equation to find how much money, m, Tomas paid for each peach

Orlov [11]

Answer:

Step-by-step explanation:

$3.55 ÷ 5 = .71 each peach

7 0

3 years ago