Ok y’all i need to know something.

I need help —30 POINTS—— 22.) Please!

GrogVix [38]

Answer:

a. there are sometimes infinitely many solutions to the system

b. will always have one solution

c. There is never any solution for the system

Step-by-step explanation:

22a If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions. So there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines

b If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution

c. If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect. There are no solutions when they never intersect. There is never any solution for the system

8 0

3 years ago

Question 5 (05.05)Based on the graph, what is the initial value of the linear relationship?

vlabodo [156]

4

1) Examining that graph, we can see that this is a decreasing function, due to the line direction. And that the initial value is the y-intercept.

2) Hence, the initial value is 4. Notice that all values after that goes decreasing for y.

4 0

1 year ago

Solve for inequality: -3x + 4<10

trapecia [35]

Answer:

x<2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

UCF believes that the average time someone spends in the gym is 56 minutes. The university statistician takes a random sample of

11111nata11111 [884]

Answer:

We conclude that the average time someone spends in the gym is different from 56 minutes.

Step-by-step explanation:

We are given that UCF believes that the average time someone spends in the gym is 56 minutes.

The university statistician takes a random sample of 32 gym goers and finds the average time of the sample was 50 minutes. Assume it is known the standard deviation of time all people spend in the gym is 8 minutes.

Let $\mu$ = population average time someone spends in the gym

SO, Null Hypothesis, $H_0$ : $\mu$ = 56 minutes {means that the average time someone spends in the gym is 56 minutes}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 56 minutes {means that the average time someone spends in the gym is different from 56 minutes}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average time someone takes in the gym = 50 min

$\sigma$ = population standard deviation = 8 minutes

n = sample of gym goers = 32

So, test statistics = $\frac{50-56}{\frac{8}{\sqrt{32} } }$

= -4.243

Since in the question we are not given the level of significance so we assume it to b 5%. Now at 5% significance level, the z table gives critical value between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the average time someone spends in the gym is different from 56 minutes.

4 0

3 years ago

Nahee is running around the circular track with equation x2+y2=10000 at a speed of 2.9 meters per second. She starts at the poin

Nana76 [90]

Answer:

The coordinates are (58.1, - 81.4).

Step-by-step explanation:

The distance traveled by Nahee after 13 minutes at the rate of 2.9 m/sec along the arc of the circle with equation x² + y² = 100², will be (13 × 60 × 2.9) = 2262 m

Now, the perimeter of the circle is 2πr = $2 \times \frac{22}{7}\times 100 = 628.57$ m

Therefore, after traveling three full circles and a half-circle the remaining arc length will be [2262 - (628.57 × 3) - (628.57 ÷ 2)] = 62 m

Therefore, Nahee will finish his run in the fourth quadrant.

Now, the angle made by the arc length of 62 m at the center will be = $\frac{360}{628.57}\times 62 = 35.512^{\circ}$

So, the angle made with positive x-axis will be (90° - 35.521°) = 54.488°

Now, the coordinates of the finishing point are (x,-y) = (rCos 54.488°, - rSin 54.488°) = (58.1, - 81.4) (Answer)

3 0

3 years ago