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Volgvan
3 years ago
6

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

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

f[g(x)]= 2(x^2-10)+1

2x^2-20+1

f[g(3)]=2(3)^2-20+1

18-20+1

18-19=-1

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the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one
RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

  • Length of the second square = 2/3 x 27 = 18
  • Length of the third square = 2/3 x18 = 12
  • Length of the fourth square = 2/3 x 12 = 8
  • Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

  • Area of the first square = 27² = 729
  • Area of the second square = 18² = 324
  • Area of the first square = 12² = 144
  • Area of the first square = 8² = 64
  • Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

  • Perimeter of the first square = 4 x 27 = 108 units
  • Perimeter of the second square = 4 x 18 = 72
  • Perimeter of the third square = 4 x 12 = 48
  • Perimeter of the fourth square = 4 x 8 = 32
  • Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

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4 0
2 years ago
Solve by graphing.
const2013 [10]

Answer:

(4,4)

Step-by-step explanation:

y = 2x - 4 -------eqn 1

4y = x + 12 ------eqn 2

From eqn 1 y = 2x - 4; insert in eqn 2

4 (2x-4) = x + 12 (open the bracket)

8x - 16 = x + 12 (taking like figures to the same side, sign changes)

8x - x = 12 + 16

7x = 28

x = 28/7

x = 4

From eqn 1

y = 2x - 4

y = 2(4) - 4

y = 8 - 4

y = 4

(x,y) = (4,4)

8 0
3 years ago
Round off the number 5028.563 to the nearest thousand
konstantin123 [22]

Answer:

5000

Step-by-step explanation:

Because this is to the nearest THOUSAND, you know you are looking for numbers like 1000, 2000, etc. And you see that with 5028.563, it is below 5500, so you do not round up to 6000, so yoyu must round down to 5000.

8 0
3 years ago
On a map, 90 miles is represented by 3 inches.
zepelin [54]
Hello!

3 inches equals 90 miles

We have to find what multiplied by 3 is 1/2

we can do 3 / 1/2 to find this

3 / 0.5 = 6

So they divide it by 6

We do 90/6

90/6 = 15

The answer is 15

Hope this helps!
7 0
3 years ago
-3x + 7y = -16<br> -9x + 5y = 16
otez555 [7]

Answer:

x = -4 y =-4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
3 years ago
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