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olga2289 [7]
3 years ago
12

Solve 3>y-2. Graph the solution

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

y  ≤  5

Step-by-step explanation:

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Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kevins unit rate? Awnser without units.
Anestetic [448]

Answer:

Kevin eats 1 pie for every 33 seconds that pass

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:

132 seconds / 4 pies = 33 seconds per pie

33 seconds / 1 pie

However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:

4 pies / 132 = .0303 or 3.03% of a pie per second

.0303 pies / 1 second

3 0
3 years ago
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Rina8888 [55]

Answer:

The equation that represents circle C is (x+2)^2+(y-10)^2=169.

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius <em>r</em> is

                                        (x-a)^2+(y-b)^2=r^2

We are told that the center of this circle is (-2, 10), so

                                        (x+2)^2+(y-10)^2=r^2

We are also told that the circle contains the point  (10, 5), so we will use that information to find the radius <em>r.</em>

<em />(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13<em />

Therefore, the equation that represents circle C is

(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169

7 0
3 years ago
If f(x) = x2 + 7, what is the value of f(3)?
lutik1710 [3]

Answer:

f(3) = 16

Step-by-step explanation:

<u>Step 1:  Set x to 3 </u>

<u />f(x) = x^2+7

f(3) = (3)^2 + 7

f(3) = (9) + 7

f(3) = 16

Answer:  f(3) = 16

6 0
3 years ago
58 X 70 + 0 - 1 X 80<br><br> STARTING A NEW ACCOUNT SO HERES THE POINTS
laiz [17]

3980 that is the answer



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3 years ago
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