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3 years ago

Write the word sentence as an inequality. Then solve the inequality.

1 answer:

4 0

First, you have to write down the inequality:
-2*x>30

Then you must figure out how to solve this. The way I would solve this is to divide 30 by -2 and then use a number greater than that.

30/-2=-15

so you have to chose a number that is bigger than -15 in order to get the answer.
-2*-16=32

That makes the new inequality 32>30.
That is the answer to the inequality.

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In general. A clock that is 3 seconds slow but keeps consistent time will be more accurate than a clock that loses 1 second ever

Pani-rosa [81]

True.

If the clock loses 1 second every hour that passes then after 4 hours it will be 4 seconds off, 5 hours will be 5 seconds off, etc. It would continue and turn into minutes and hours off.

4 0

3 years ago

Pls help .....30 points

Lorico [155]

Answer:

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5 0

3 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0

3 years ago

B) Which one of the following points lies on the line 2y = 5x - 3?

sergeinik [125]

Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.

A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.

C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.

D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.

E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

Therefore, the correct answer is Option D: (3, 6).

7 0

3 years ago

HELP ASAP<br> f(x)=x² what is g(x)?

murzikaleks [220]

Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.

4 0

3 years ago