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MrMuchimi
3 years ago
8

If f(x)=3x +10, g(3)=9 and f(-2)=g(-2) find the equation of the linear function g(x)

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

Answer:

The equation of the linear function g(x) is

g(x) = x + 6

Step-by-step explanation:

The step by step explanation is attached here.

Download rtf
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X/5 - 12 = -8 x=? what​
lutik1710 [3]
X = 20

If you multiply both sides by 5 to get rid of the fraction ( x - 60 = -40 ) the answer would become clear.
4 0
3 years ago
Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh
Hitman42 [59]

Answer:

The dimensions of the herb garden on the scale drawing are 2.4 by 6 inches

Step 1 (finding the scale factor):

12/10 (inches/feet) or 1.2 (inches/feet)

(1.2 inches<em> </em>in the <em>drawing</em> represent 1 foot in real life)

Step 2 (finding the dimensions of the herb garden on the scale drawing):

Real life dimensions are 2ft by 5ft so we multiply by the <em>scale factor</em>:

2ft = 2 x 1.2 = 2.4 inches

5ft = 5 x 1.2 = 6 inches

So the dimensions of the herb garden on the scale drawing are 2.4 by 6 inches.

4 0
3 years ago
Say if you had a Right triangle with sides being 12a 15b and the last side unkown how would i solve it?
balandron [24]
By Pythagorean theorem,
a^2+b^2=c^2
c is the longest side of the triangle
a and b are the remaining sides
5 0
3 years ago
The length of a rectangular garden is 5 times its width.
Delvig [45]

Answer:

  • 10 m and 50 m

Step-by-step explanation:

<h3>Given</h3>
  • l = 5w
  • A = 500 m²
<h3>To find</h3>
  • Length and width
<h3>Solution</h3>

Area formula

  • A = lw
  • A= 5w*w= 5w²
  • 5w² = 500
  • w²= 100
  • w = √100
  • w = 10 m

Then

  • l = 5w = 5*10 m = 50 m

3 0
3 years ago
Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so
scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

-10x^{2}-10y^{2}=-300

Divide by -10 both sides

x^{2}+y^{2}=30 -----> equation A

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

and

5x^{2}+5y^{2}=150

Divide by 5 both sides

x^{2}+y^{2}=30 -----> equation B

This is the equation of a circle centered at origin with radius r=\sqrt{30} \ units

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0
3 years ago
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