Answer: 37
Step-by-step explanation: If you start your math by taking 48 and subtracting 7 you will get 41, this question says it the sum of both ages will be 48 in 7 years so subtract those to get 48. After, you can subtract 4 from 41 since that is just the sum of both ages, you take 41 and minus 4, your answer is 37 (sorry if its wrong but I think its most likely going to be correct)
Answer:
Pic 1: 
Pic 2: 
Step-by-step explanation:
<u>Picture 1:</u>
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First, add the 2x and x together for 3x
Then add 3 to both sides of the equation
Finally, divide each side by 3.
<u>Picture 2:</u>
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<u />
First, add 7x and x together for 8x
Then, minus 20 from both sides of the equation
Finally, divide each side by 8.
Answer:
Angle S and angle T are congruent.
Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
F(x) = x^2/2 + 2x + 1f(x) = 1/2 * (x^2 + 4x) + 1f(x) = 1/2 * (x^2 + 4x + 4) - 1/2 * (4) + 1f(x) = 1/2 * (x + 2)^2 - 1
The vertex is (-2, -1). The axis of symmetry is x = -2. The minimum value is -1. The maximum value is infinity.
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