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Helen [10]
2 years ago
9

Which graph represents the solution to the compound inequality?

Mathematics
1 answer:
zmey [24]2 years ago
3 0

The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

<h3>Which graph represents the solution to the compound inequality?</h3>

The inequalities given in the task content can be solved as follows;

For –2x + 4 ≤ 8

-2x ≤ 8 -4

x >= -2

For –2x + 4 > –6

–2x > –6 -4

x < 5

Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

Read more on compound inequality;

brainly.com/question/7070563

#SPJ1

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et y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppo
Mice21 [21]

The change in the total cost for each book printed is $10.

The cost to get started ( before any books are printed) is $1200

Step - by -step Explanation

What to find?

• The change in the total cost for each book printed.

,

• The cost to get started ( before any books are printed).

<em />

<em />

Given:

The given equation is 1200 + 10x = y

where x is the number of xopies of book printed and y is the total cost of publishing the book .

b) To obtain the cost to get started;

Substitute x = 0 into the given equation.

1200 + 10(0) = y

1200 = y

Hence, the cost to get started is $1200

a) To find the cost for each book;

Put x =1 in the given equation.

1200 + 10(1) = y

1210 =y

Change in cost for each book printed is 1210 - 1200 = 10

Hence, the change in the total cost for each book printed is $10.

<em />

5 0
1 year ago
Write an equation of a line parallel to y=1/2x+3 that passes through (2,5)
tamaranim1 [39]
y=\frac{1}{2}x+3 \parallel y=mx+b

Two lines are parallel when their slopes are the same.
m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\&#10;5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4}&#10;

5 0
3 years ago
Read 2 more answers
Covert 3.92 into a mixed number in simplest form?
12345 [234]
3.92

= 1.00 + 1.00 + 1.00 + 0.92

= 100/100 + 100/100 + 100/100 + 92/100

= 300/100 + 92/100

= 392/100

-------------------------------------------------------

392/100 = 196/50 = 98/25
3 0
3 years ago
Read 2 more answers
Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box
dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

7 0
3 years ago
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
choli [55]
Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9
5 0
1 year ago
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