Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
Answer: 20
Step-by-step explanation:
The true statement is g(x) = 3.f(x) ⇒ 1st answer
Step-by-step explanation:
- f(x) = 2x + 5
- g(x) = 6x + 15
We need to find which statement is true
Let us compare between the x term in the two function and the numerical terms in the two function
∵ The x terms are 2x and 6x
∵ 6x ÷ 2x = 3
∵ The numerical terms are 5 and 15
∵ 15 ÷ 5 = 3
- That means each term of f(x) is multiplied by 3 to give g(x)
∴ g(x) = 3(2x + 5)
∴ g(x) = 3.f(x)
The true statement is g(x) = 3.f(x)
<em>V.I.Notes:</em>
- f(3x) means we multiply x only by 3, then g(x) = 6x + 5
- f(x + 3) means we add x only by 3, then g(x) = 2(x + 3) + 5, when simplify it g(x) = 2x + 11
- f(x) + 3 means we add 3 to (2x + 5), then g(x) = 2x + 8
Learn more:
You can learn more about the functions in brainly.com/question/4326955
#Learnwithbrainly
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
X+5<9 subtract 5 from both sides
x<4
The graph will be an area that extends infinitely up, down, and to the left of the vertical line x=4, not including the line itself.
