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larisa [96]
3 years ago
15

The graph of the function f(x) is shown below.

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain



range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]



Domain=[-3,5)
Range=[-1,3]


B. read above and understand it
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A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle?
ycow [4]

Answer:

x^{2} +y^{2} =36

Step-by-step explanation:

A circle centered at (0,0) with radius r is x^{2} +y^{2} =r^{2}

Since your circle has diameter of 12, then its radius is 6.  Then r^{2} =36

So a possible answer is:  x^{2} +y^{2} =36

If you want to move the location of the center, but keep it on the x-axis, then add or subtract a number to the x, such as this:

(x+4)^{2} +y^{2} =36

The center of this circle would be (-4, 0) which is still on the x-axis.

8 0
3 years ago
What is the equation of the line that is parallel to the
erastovalidia [21]

Answer:

Step-by-step explanation:

A parallel line will have the same slope as the reference line.  In this case, I don't see the "given line" as promised in the question.  If it does appear, and it looks like y = 5x + 3, for example, the slope is 5 and the new line will have the same slope.

<h3><u>If this slope is correct</u>, we can start the equation for the parallel line that goes through point (-3,2) by starting with:</h3><h3 /><h3>y = 5x + b</h3><h3 /><h3>We need a value of b that forces the line to go through point (-3,2).  We can do that by using the given point in the equation and solving for b:</h3><h3>y = 5x + b</h3><h3>2 = 5(-3) + b</h3><h3>b = 17</h3><h3 /><h3>The parallel line to y=5x+3 is</h3><h3>y = 5x + 17</h3><h3 /><h3>See attachment.</h3><h3 /><h3 /><h3 />

5 0
2 years ago
Suppose you are given a square with an inscribed circle. If the area of the square is 36 m^2. What is the area of the circle?
loris [4]
If the square has sides of 6 the circle has a radius of 3 so it's area is 9pi
4 0
3 years ago
Read 2 more answers
Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi
tensa zangetsu [6.8K]
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
6 0
3 years ago
Read 2 more answers
What is the value of t in the equation t+12=30 ?
masha68 [24]
<span>Simplifying X + 12 = 30
 Reorder the terms: 12 + X = 30
 Solving 12 + X = 30
 Solving for variable 'X'.
 Move all terms containing X to the left, all other terms to the right.
 Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
 Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
 Combine like terms: 30 + -12 = 18 X = 18
 Simplifying X = 18</span>
6 0
3 years ago
Read 2 more answers
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