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3 years ago

Cary is 7 years older than Dan. In 7 years the sum of their ages will be 79. Find the age of each man now.

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

Answer:

Dan is 29. Cary is 36.

Step-by-step explanation:

Let Dan's age now be D.

Let Cary's age now be C.

"Cary is 7 years older than Dan."

C = D + 7

"In 7 years the sum of their ages will be 79. "

In 7 years, the ages of Dan and Cary will be D + 7 and C + 7, respectively.

D + 7 + C + 7 = 79

C + D + 14 = 79

C + D = 65

C = D + 7

The last two equations in bold above form a system of equations. Since the second equation is already solved for C, we use the substitution method.

D + 7 + D = 65

2D + 7 = 65

2D = 58

D = 29

C = D + 7

C = 29 + 7

C = 36

Answer: Dan is 29. Cary is 36.

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3 years ago

If f(x) = -5-4 and g(x) = -3 -2 find (f-g)(x)

asambeis [7]

<u>Answer:</u>

The correct answer option is D. $-5^x+3x-2$

<u>Step-by-step-explanation:</u>

We are given the following two functions:

$f(x)=-5^x-4$

and

$g(x)= -3x-2$

We are to find $(f-g)(x)$ so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:

$(f-g)(x) =(-5^x-4)-(-3x-2)$

$(f-g)(x)=-5^x-4+3x+2$

$(f-g)(x)=-5^x+3x-2$

Therefore, $(f-g)(x)$ is equal to $-5^x+3x-2$ so the correct answer option is D. $-5^x+3x-2$ .

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3 years ago