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Grace [21]
2 years ago
13

F(x) = 6x + 3 g(x) = 3x - 2

Mathematics
1 answer:
Snezhnost [94]2 years ago
4 0

Answer:

Step-by-step explanation:

g(x) = 3x² + 1

This is an up-opening parabola with vertex at (0,1).

Plot (0,1)

Plot (1,4) and (-1,4).

Plot (2,13) and (-2,13).

Draw the parabola joining the points.

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What is the area of the semicircle (use 3.14 for p)?<br> Please help! Will mark brainlyest.
Marizza181 [45]

Answer:

127.17 cm²

Step-by-step explanation:

  • Area of a semicircle: 1/2*π*r²
  • π (pi) = 3.14
  • r (radius) = d (diamater) / 2 => 18/2 = 9 cm

A = 1/2*π*r²

A = 1/2*3.14*9²

A = 1/2*3.14*81

A = 3.14*40.5

A = 127.17 cm²

Therefore, the area of the semicircle is 127.17 cm²

Hope this helps!

4 0
2 years ago
Read 2 more answers
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of
saveliy_v [14]

Answer:

<em>l = w + 3cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm </em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 </em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:</em>

I hope this helps you.

5 0
3 years ago
Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and
andriy [413]

Answer:

C(x)=24,000+19,200x

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

\boxed{C(x)=24,000+19,200x}

7 0
3 years ago
5. Mrs. Hoskins is going to plant her new
iragen [17]
She would spend $16.11 dollars on her new garden.


5 0
3 years ago
10 POINTS<br><br> Seventeen is 20% of what number?<br><br> Enter your answer in the box.
Scrat [10]
85


Also, this is 5 points.
4 0
3 years ago
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