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3 years ago

EASY POINTS!! HELP AND ILL MARK YOU BRAINLIEST!!!!

Mathematics

1 answer:

natali 33 [55]3 years ago

3 0

Answer: (6, -30)

Step-by-step explanation:

Substitute the points into the equation:

3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.

-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.

-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on the graph.

-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.

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F(x)=x what is the equation of the new function shift 8 units left shift 3 units down

nasty-shy [4]

Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5

4 0

3 years ago

The swimming pool is opening hours a day the pool manager must divide pool time equally among five groups camp; camp swim team,

ale4655 [162]

Answer:

1.6 hours

Step-by-step explanation:

Number of opening hours a day = 8

Number of groups = 5

Dividing the number of opening. Hours equally among the 5 groups :

8 hours / 5

= 1.6 hours per group per day

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2 years ago

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mestny [16]

Answer:

D) 4 1/2

Step-by-step explanation:

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3 years ago

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larisa86 [58]

Answer:

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Step-by-step explanation:

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2 years ago

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The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

5 0

2 years ago