<h3>
Answer: H. 33</h3>
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Work Shown:
Solve 5m^2 = 45 for m to get
5m^2 = 45
m^2 = 45/5
m^2 = 9
m = sqrt(9)
m = 3
I'm making m to be positive so that way the expression 12m is not negative. Otherwise, sqrt(12m) would not be a real number result.
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Plug m = 3 into the expression we want to evaluate
m^3 + sqrt(12m)
3^3 + sqrt(12*3)
27 + sqrt(36)
27 + 6
33
Answer:
The number of half-page advertisements is 4.
The number of Full-page advertisements is 11.
Step-by-step explanation:
According to the Question,
- Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.
Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.
- Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.
60x + 100y = 1340
- And, the number of advertisements is 15. So, the other equation is
x + y = 15
Now, We have Two Equations,
60x + 100y = 1340 and x + y = 15
- the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340
60 (15-y) + 100y = 1340
900 - 60y + 100y = 1340
40y = 1340 - 900
40y = 440
y = 440/40
y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .
- Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .
Answer:
Three rules are used
1) Product of powers
2) Power of a power
3) Negative exponents
Step-by-step explanation:
The given expression is [(7)⁵(7)³]⁻⁴
<u>To find the value of [(7)⁵(7)³]⁻⁴
</u>
[(7)⁵(7)³]⁻⁴ = [(7)⁵⁺³]⁻⁴ = [(7)⁸]⁻⁴(using product of powers rule)
[(7)⁵⁺³]⁻⁴ = [(7)⁸ˣ⁻⁴] = 7⁻³² [using powers of power rule)
7⁻³² = 1/7³² (using negative exponent rule)
Using three rules we can solve [(7)⁵(7)³]⁻⁴
Therefore the correct answers are
1) Product of powers
2) Power of a power
3) Negative exponents
Answer:
A. (2,10)
Step-by-step explanation:
5x + y = 20
y = 5x
The second equation is already solved for y, so substitute 5x for y in the first equation to find x.
5x + 5x = 20
10x = 20
x = 2
Now substitute 2 for x in the second original equation to find y.
y = 5(2)
y = 10
Answer: (2, 10) which is A.
Answer:
three dived by a number x
Step-by-step explanation: