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motikmotik
3 years ago
14

for the function y = 15 - 6x, suppose the domain is only values of x from 10 to 20. What is the Range of the function?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0
Y=-6(10)+15
y=-60+15
y=-45

y=-120+15
y=-105

range equals -105 to 45

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Solve for x 2.3(6-x)+22=96-2.3(2x+12)
melomori [17]

Hello!

(this took me 20 minutes to type out from what I wrote on paper lol)

I'm going to guide you through this one step at a time

Step 1: Simplify both sides of the equation.

2.3(6−x)+22 = 96−2.3(2x+12)

(2.3)(6)+(2.3)(−x)+22 = 96+(−2.3)(2x)+(−2.3)(12) (use distributive property of multiplication)

13.8+−2.3x+22 = 96+−4.6x+−27.6

(−2.3x)+(13.8+22) = (−4.6x)+(96+−27.6) (Combine The Like Terms)

−2.3x+35.8 = −4.6x+68.4

−2.3x+35.8 = −4.6x+68.4

Step 2: now, add 4.6x to both sides.

−2.3x+35.8+4.6x = −4.6x+68.4+4.6x

2.3x+35.8 = 68.4

Step 3: next, subtract 35.8 from both sides.

2.3x+35.8−35.8 = 68.4−35.8

2.3x = 32.6

Step 4: Divide both sides by 2.3.

\frac{2.3X}{2.3} = \frac{32.6}{2.3}

fractions solved: x = 14.173913

your final answer is: x = 14.173913

I hope this helps, and have a nice day!

5 0
3 years ago
The distance around the middle of a sphere (the circumference) equals 37.699 in. what is the surface area of the sphere?
podryga [215]

To solve this problem you must apply the proccedure shown below:

1. Clear the radius from the formula for the circumference of a circle and substitute values, as following:

C=2\pi r\\ r=C/2\pi \\ r=37.699in/2\pi \\ r=5.99in

2. Substitute the radius calculated into the formula for calculate the surface area of the sphere:

SA=4\pi r^{2} \\ SA=4\pi(5.99in^{2})\\ SA=450.88in^{2}

The answer is: 450.88in^{2}

5 0
3 years ago
HELPPP!!!!<br><br> Complete the​ two-column proof by filling in the blanks.
Brilliant_brown [7]

Answer:

2. Substitution property

3. Given

4. Definition of congruent angles

5. Substitution property

6. Subtraction property of equality

7. Definition of congruent angles

8. Given

9. Definition of equilateral triangle

11. SAS (10, 7, 9)

Step-by-step explanation:

4 0
2 years ago
Can someone please help me out! and please explain your answer, and how you got it right! thank you so much!
Contact [7]

It is

24x - 30

The equation for area of a trapezoid is

\frac{1}{2} (a + b) \times h

Substituting our values in

\frac{1}{2} (3x + 7 + 5x - 3) \times 6

We can then simplify the expression

\frac{1}{2} (8x - 10) \times 6 \\ (4x - 5) \times 6 \\ 24x - 30

8 0
3 years ago
A gold mine has two elevators, one for equipment and another for miners. The equipment elevator descends 6 feet per second. The
oksano4ka [1.4K]

Answer:

It should the miners

Step-by-step explanation:

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17(time) x 16 (feet per second) =  272(distance)

equipment

22 (time) x 6 (feet per second)= 132 (distance)

8 0
3 years ago
Read 2 more answers
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