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2 years ago

!!!!!GIVING BRAINLIEST!!!!!

Mathematics

2 answers:

KengaRu [80]2 years ago

8 0

Answer:

Given equation,

3|x| > 6 -----(1)

∵ $\frac{1}{3}>0$

Thus, multiplying both sides of inequality (1) by $\frac{1}{3}$

We get,

$|x| > 2$

⇒ 2 < x or 2 < - x

⇒ 2 < x or -2 > x (when a > b where a > 0, b > 0, If c < 0 ⇒ ac < bc),

⇒ (2, ∞ ) ∪ (-∞, -2)

By plotting the above interval in the number line we can get the graph of the given equation ( shown below )

Gennadij [26K]2 years ago

6 0

Shown below is the graph on the x-y plane.

Your equation has only one variable, so a graph on the number line is appropriate. It would extend outward from ±2, where the points would be indicated by open circles.

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Solve the system 2x-2y=10 4x-5y=17

stiv31 [10]

Multiply 2x-2y=10 by 2,
4x-4y=20,
given:4x-5y=17
y=3
pluck it in
2x-6=10
move the 6 to the right
2x=16
divide
x=8
y=3

8 0

3 years ago

Read 2 more answers

The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the

PIT_PIT [208]

Part (a)

The variable y is the dependent variable and the variable x is the independent variable.

Part (b)

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

$0.75\times 18=13.5$ dollars

Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.

Therefore, the price of the fair admission is: $33.50-$13.50=$20

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:

$y=0.75x+20$ ......Equation 1

Part (c)

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

4 0

3 years ago

What is the interval notation for x+1>34?

vodka [1.7K]

Explanation:

First you subtract by -1 both sides of an equation.

$x+1-1=34-1$