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Semenov [28]
3 years ago
9

Is (-3, 2) a solution of -4r - 10y< - 9?

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

<em>The point (-3,2) is not a solution of the inequality</em>

Step-by-step explanation:

<u>Inequality</u>

Inequalities relate the left and the right side of an expression with an operator other than the equal sign.

The inequality given in the question is

-4r - 10y< - 9

There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1

-4(1) - 10(1)< - 9

-14< - 9

This relation is true since -14 is less than -9.

Also, there are many combinations that make the given inequality be false.

For example, for r=2 and y=-1

-4(2) - 10(-1)< - 9

-8+10

2

This inequality is false.

Let's test the point (-3,2)

-4(-3) - 10(2)< - 9

12-10

2

Which is false, thus the point (-3,2) is not a solution of the inequality

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A rectangular playground has a perimeter of 180 feet. If the width of the playground is 24 feet less than the length, what is th
Blababa [14]
P = 2(L + W)
P = 180
W = L - 24
now we sub
180 = 2(L + L - 24)
180 = 2(2L - 24)
180 = 4L - 48
180 + 48 = 4L
228 = 4L
228/4 = L
57 = L

W = L - 24
W = 57 - 24
W = 33

so ur length (L) = 57 ft and ur width (W) = 33 ft
3 0
3 years ago
Explain why the exponents cannot be added in the product 12^3 x<br> 11^3.
sergij07 [2.7K]

Answer:

see explanation

Step-by-step explanation:

The exponents can only be added if the bases are the same

Here one base is 12 and the other is 11

So the rule of addition is not applicable.

4 0
3 years ago
Read 2 more answers
Ms. Wall will roll two number cubes. What is
bonufazy [111]
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.

For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.

Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
8 0
3 years ago
The vertices of a hyperbola are located at (−4, 1) and (4, 1). The foci of the same hyperbola are located at (−5, 1) and (5, 1).
topjm [15]

Answer:

x^2\ 16 - y^2/9 = 1

step-by-step explanation:

soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1

a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.

it helps to graph this so you can see it better

to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2

then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2

you get 9 for b^2 because 25-16=9 and so you put that in the equation

3 0
3 years ago
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Ralph is 3 times as old as Sarah. in six years, Ralph will be only twice as old is Sarah will be then. find Ralphs age now.
Phantasy [73]
First, we start with the equation that the problem told us, which is:

R + 6 = 2 * (x + 6)

Then, we distribute the two:

R + 6 = 2x + 12

Now, we put R on its own side.

R = 2x +6

So, the answer must be C, 2x + 6
8 0
3 years ago
Read 2 more answers
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