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Yanka [14]

3 years ago

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Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

9514 1404 393

Answer:

(f×g)(x) = 2x^2 +2x
(f×g)(x) = 6y^2 -11y -35

Step-by-step explanation:

The distributive property applies.

1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)

(f×g)(x) = 2x^2 +2x

2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)

(f×g)(x) = 6y^2 -11y -35

_____

<em>Additional comment</em>

Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only <em>6y^2 -11y -35 for any value of x</em>. It does not change when x changes. (We suspect a typo.)

Colt1911 [192]3 years ago

6 0

Answer:

9514 1404 393

Answer:

1. (fxg)(x) = 2x^2 +2x 2. (fxg)(x) = 6y^2 -11y -35

Step-by-step explanation:

The distributive property applies.

1. (fg)(x) = f(x)-g(x) = (2x)-(x+1)

(fxg)(x) = 2x^2 +2x

2. (fg)(x) = f(x) g(x) = (2y -7) (3y +5) = 2y(3y +5)

-7(3y +5) (fxg)(x) = 6y^2 -11y -35

Additional comment

Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only 6y^2 -11y -35 for any value of x. It does not change when x changes. (We suspect a typo.)

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Step-by-step explanation:

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2 years ago

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makvit [3.9K]

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6 0

3 years ago

Jane wishes to have 20,000 available at the end of 10 years so she deposit money into an account that pays 1.14% compounded mont

max2010maxim [7]

Answer:

$\$17,846.12$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

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P is the Principal amount of money to be invested

r is the rate of interest in decimal

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n is the number of times interest is compounded per year

in this problem we have

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substitute in the formula above

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5 0

4 years ago

Solve the following system of equations using the substitution method.

sergey [27]

Answer:

y=1; x=2

Step-by-step explanation:

Substitution:

x=2y

2x+5y=9

=> if x=2y, plug in the x value into other equation, so

----------------------------------------------------------------------------

2(2y)+5y=9

4y+5y=9

9y=9

y=1

You have the Y value, so now solve for X

-----------------------------------------------------------------------

plug in y value to x=2y

so x=2(1)

x=2

5 0

3 years ago