All categories

3 years ago

What is (are) the solution(s) to the equation 2(x−4)2=50

Mathematics

1 answer:

sergejj [24]3 years ago

5 0

Answer:

x = 9 and x = -1

Step-by-step explanation:

This equation should be written all on one line:

2(x - 4)^2 = 50

using " ^ " to denote exponentiation.

Dividing both sides by 2 yields

(x - 4)^2 = 25

We must solve for x - 4, and then for x alone:

Taking the square root of both sides, we get:

x - 4 = ±5

which yields two separate solutions: x = 9 and x = -1

You might be interested in

OLLEGE

Sophie [7]

Part 1

$(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is $\boxed{[0, \infty)}$

Part 2

$(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}$

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

$4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}$

Thus, the domain in interval notation is $\boxed{\left[-\frac{1}{4}, \infty)}$

8 0

2 years ago

If it takes 30 minutes to fill a 750000 cm3 (cubed) pool

Gala2k [10]

Step 1: Find out how many cm3 is filled in a minute.
750000/30 = 25000cm3 per minute
Step 2: Find out how many minutes it takes to fill 1200000cm3.
1200000/25000 = 48 minutes

Answer: 48 minutes

5 0

3 years ago

Read 2 more answers

What is the solution to the equation?

slega [8]

First you can add 26 on both sides so you gonna have : 4x - 3x = 16 - 20 + 26
so you can say : x = -4 + 26 so x= 22 :)))
i hope this be helpful
have a nice day

8 0

3 years ago

Read 2 more answers

Brainliest eeeeeeeeeeeeee

alekssr [168]

Answer:

3 / 4

Step-by-step explanation:

We can realize that both the numerator and denominator have a common factor of 9. We can divide them both by 9 to get:

3 / 4

This fraction is in simplest form.

8 0

3 years ago

Read 2 more answers

alexira [117]

Answer:

333/3 = 111 yards Joey walked

3 0

4 years ago