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Harrizon [31]
4 years ago
9

Choose the correct description of the graph of the compound inequality:

Mathematics
1 answer:
Ainat [17]4 years ago
8 0
First, let's solve the inequality:
<span>x - 3 < -9
//add 3 to both sides: 
x<-6



the second inequality: 
x + 5 ≥ 10</span> 
//substract 5 from both sides: 
<span>x ≥ 5

So we need to map:
</span>
<span>x<-6
</span><span>x ≥ 5

Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B. 

A closed circle means that the number is included, so the correct answer is A!</span>
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Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest h
Andrew [12]

Answer:

The value of y given the values of x and z in the question is -734.85

Step-by-step explanation:

This is a joint variation question.

First, we are made to know that y varies jointly as x and z.

The equation for this can be written as;

y = k * x * z

Where k is the constant of proportionality.

Let’s calculate k first.

117 = k * (-3) * (-11)

33k = 117

K = 117/33 = 3.55

Now, we proceed to get what y is when x = -9 and z = 23

Let’s plug these values into the initial equation written.

y = k * x * z

We use the value of k calculated above;

y = 3.55 * (-9) * (23) = -734.85

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A simple random sample of 64 8th graders at a large suburban middle school indicated that 88% of them are involved with some typ
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