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son4ous [18]
3 years ago
12

Consider the functions f(x) = 2x + 1 and g(x) = x^2 − 10 What is the value of f[g(3)]?

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

Tip: Remember to always start from the inside, which would be g(3), in this case.

The first step in solving this problem is to solve for g(3).

To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10

  • g(3) = 3^2 - 10
  • g(3) = 9 - 10
  • g(3) = -1

The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.

Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.

  • f(-1) = 2(-1) + 1
  • f(-1) = -2 + 1
  • f(-1) = -1

Therefore, f[g(3)], or f(-1), equals -1

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105/512

Step-by-step explanation:

To find the volume of a rectangular prism, you do  length x width x height. The length is 3/8, the width is 5/8, and the height.

3 0
3 years ago
Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?
Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:  

sale price = regular price less discount

    $374    =           c     -     $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c  =   $440.  This is the regular price.

 $66

---------- = 0.15                      This is the fraction of the regular price by

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Then the percentage of this discount was   0.15(100%) = 15%

8 0
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Quick please , find the volume of the shape
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3 years ago
Of 56 tuna sandwiches sold, 18 were sold on Friday
LuckyWell [14K]

Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

 

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

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