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yan [13]
4 years ago
12

Write an inequality to represent the situation the temperature stays above –15°

Mathematics
1 answer:
lozanna [386]4 years ago
6 0
Let t = the temperature
stays above → > also above tells you it is not equal to the given number

Answer t > -15
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12. Find m∠1 if m∠2 = 35° in parallelogram ABCD.
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Find the slope of the line that passes through the given points (-5,3), (2,9)
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Answer:

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Step-by-step explanation:

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3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to
tiny-mole [99]

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit <em>y</em> made by the company from selling each widget at <em>x</em> price is modeled by the equation:

y=-x^2+72x-458

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the <em>x-</em>coordinate of the vertex. This is given by the formula:

\displaystyle x=-\frac{b}{2a}

In this case, <em>a</em> = -1, <em>b</em> = 72, and <em>c</em> = -458. Substitute and evaluate:

\displaystyle x=-\frac{72}{2(-1)}=36

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

5 0
3 years ago
x and y are numbers between 50 and 100. Both x and y have the same digit but in a different order. the two numbers add up to 187
Ymorist [56]

By solving a system of equations, we see that:

x = 89 and y = 98.

<h3>How to find the two numbers?</h3>

First, we can write:

x = a*10 + b

y = b*10 + c

Where a, b, and c are single digit numbers. You can see that b is on both numbers because we know that the numbers share a digit, but on different order.

We also know that:

x + y = 187

a + b + b + c = 34

I we rewrite the first equation, we get:

(a*10 + b) + (b*10 + c) = 187

10a + 11b + c = 187

Then we have two equations:

a + 2b + c = 34

10a + 11b + c = 187

In both equations we can isolate c:

34 -2b -a = c

10a + 11b - 187 = c

Now we have:

-a - 2b + 34  = -10a - 11b + 187

Solving that, we get:

9a + 9b = 153

a + b = 153/9 = 17

Then a and b add up to 17, we can take:

a = 8

b = 9

And:

c = -a - 2b + 34 = -8 - 9 - 9 + 34 = 8

Then the numbers are:

x = 89

y = 98

If you want to learn more about system of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
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