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Ray Of Light [21]
3 years ago
14

Which statement is true regarding the functions on the

Mathematics
1 answer:
Leto [7]3 years ago
4 0

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

<em>Value of "y" for f(x) when x = -3:</em>

On the blue line, when x = -3, y = -4.

<em>Value of "y" for g(x) when x = 4:</em>

On the red line, when x = 4, y = -3.

<u>Therefore</u>:

f(-3) = g(4)

-4 = -3          <= This is false.

In the third option: f(-3) = g(-3)

<em>On f(x) blue, when x = -3: </em>y = -4

<em>On g(x) red, when x = -3: </em>y = -4

<u>Therefore</u>:

f(-3) = g(-3)

-4 = -4                <= This is true.

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Answer:

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Step-by-step explanation:

3x + y = 6

3x = 6 - y

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1. 0.9

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What’s the quotient of 2 1/4 and 5/8
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Answer:

The correct result would be 3 3/5.

Step-by-step explanation:

If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

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Answer:

The slope is \frac{3}{2}

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

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→ Substitute its value in the form of the equation above

∴ y = \frac{3}{2} x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = \frac{3}{2} (2) + b

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→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

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Find the area of a triangle with a base of 10 meters and a height of 6 meters
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