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Elena-2011 [213]
3 years ago
15

The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?

Mathematics
2 answers:
9966 [12]3 years ago
8 0

D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer

astraxan [27]3 years ago
3 0

For this case we have:

The main function is:

y = f (x) = | x |

To move the graph vertically we have:

y = f (x) + k

If k> 0, the graph moves k units up

To move the graph horizontally we have:

y = f (x + h)

IF h> 0, the graph moves h units to the left

For this case, we want to move the graph k units up and h units counterclockwise. We have then, the following equation:

g (x) = | x - h | + k

Therefore, according to the definitions:

k> 0

h

Answer:

k> 0

h

Option: The sign of h must be negative, and the sign of k must be positive.

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HELP THIS IS DUE TODAY?!
shutvik [7]

52.5 Yards (yd).

7 + 7 = 14

14 + 14 = 28 ( 10 + 10 + 4 + 4)

14 + 28 = 42 (4 - 2 + 8 = 10 + 20 + 10)

42 + 10.5 = 52.5

⚠⚠ if you need to multiply this by itself (squaring is the proper name) then the answer is 2756.25 Yards.

3 0
2 years ago
Alex and Ben were given a total of £240 They shared the money in the ratio 5:7
AfilCa [17]

Answer:

Ben received: £140

Step-by-step explanation:

Total amount = £240

Given ratio: 5:7

It means £240 is divided into 12 parts

So 1 part will be equal to:   £240/12

1 part = £20

Now given ratio is:

5:7

Multiplying each share with £20

5*(£20) : 7* (£20)

£100: £140

So according to ratio amounts:

Alex received:  £100

Ben received: £140

I hope it will help you!

5 0
3 years ago
The number of students attending summer school at a local community college has been decreasing each year by 7%. If 847 students
alina1380 [7]

Answer:

≈ 634

Step-by-step explanation:

n = 847(1 * .07)^4

n = 847(0.93)^4

n = 633.60005247

n ≈ 634

3 0
3 years ago
How do I solve this STATS question?
k0ka [10]
We have the following data:

Margin of Error = E = 2.7 % = 0.027
Sample size = n = 900
Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

E=z* \sqrt{ \frac{p(1-p)}{n} }

Using the values, we get:

0.027=z* \sqrt{ \frac{0.6*0.4}{900} } \\  \\ 
0.027=z*0.016 \\  \\ 
z= \frac{0.027}{0.01633}  \\  \\ 
z=1.65

As, seen from the z table, z=1.65 corresponds to the confidence level 90%. So, the answer to this question is option B
7 0
3 years ago
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar
ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let \mu = <u><em>mean waiting time for bus number 14.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, H_A : \mu < 10 minutes    {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean waiting time = 7.8 minutes

             s = sample standard deviation = 2.5 minutes

             n = sample of different occasions = 18

So, <u><em>test statistics</em></u> =  \frac{7.8-10}{\frac{2.5}{\sqrt{18} } }  ~ t_1_7

                              =  -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0
3 years ago
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