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olga nikolaevna [1]
3 years ago
9

Given f(x) = 5x + 5 and g(x) = 6x + 1

Mathematics
1 answer:
wariber [46]3 years ago
4 0

     •   f(x) = 5x + 5

     •   g(x) = 6x + 1


Now, you just sum those functions:

     (f + g)(x) = f(x) + g(x)

     (f + g)(x) = (5x + 5) + (6x + 1)

     (f + g)(x) = 5x + 6x + 5 + 1

     (f + g)(x) = 11x + 6


Therefore,

     (f + g)(– 8) = 11 · (– 8) + 6

     (f + g)(– 8) = – 88 + 6

     (f + g)(– 8) = – 82   <———   this is the answer.


I hope this helps! =)

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Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).
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The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-3}{4-2}=0.5

For RT:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-3}{5-2}=-1

For ST:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

5 0
2 years ago
DATE:
Cloud [144]

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but let me help out. I saw a similar question.

Example 1: Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1000.00 to the cashier.How much change will she get?

Since we are informed that Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard, the amount she'll pay will be:

= 3/8 × 72

= Php 27

Since she gave the cashier Php 1000, her change will be:

= 1000 - 27

= Php 973

6 0
3 years ago
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