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3 years ago

Find the range of ƒ(x) = 3g – 5 for the domain {–1.5, 2, 4}

1 answer:

6 0

-1.5 ------ f(x) = 3(-1.5) - 5
= -4.5 -5
= 9.5

2 -------- f(x) = 3(2) - 5
= 6 -5
= 1

4 -------- f(x) = 3(4) - 5
= 12 - 5
= 7
(9.5, 1 , 7)

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Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Likurg_2 [28]

Answer:

$d = 14$

$(-2,-1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

Step 3: Find Midpoint

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
Divide: $(-2,-1)$

7 0

3 years ago

Perry spent $22.50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charg

Vika [28.1K]

Answer:

Guys his answer is wrong. It’s 5.50 in edg

Step-by-step explanation:

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3 years ago

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. If a = 120°, find the measure of angles b, c and d. Explain your reasoning.

Alchen [17]

∡b is a vertical angle to ∡a and therefore a twin, and we know that ∡a = 120°, thus since ∡b = ∡a, ∡b = 120° as well.

a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.

∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.

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3 years ago

Graph each linear equation y=-x-2

mixer [17]

Answer:

Alright well use the Graph line using the slope and the y-intercept, or two points

Slope: - 1

y - intercept: - 2

X: 0, 1

Y: - 2, - 3 Hope this helps :)

Step-by-step explanation:

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3 years ago

Find the slope of the line that passes through the points (0-2) and (1.4).

vredina [299]

Answer:

m = 6

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{4+2}{1-0}=\frac{6}{1}=\boxed{6}$

Hope this helps!

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3 years ago

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