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aalyn [17]
4 years ago
8

Given g(x) = 3x – 3, what function h(x) would represent a downward shift by two units? A) h(x) = 5x – 3 B) h(x) = x – 3 C) h(x)

= 3x – 1 D) h(x) = 3x – 5
Mathematics
1 answer:
azamat4 years ago
7 0

Answer:

D

Step-by-step explanation:

given a function f(x) then

f(x) + c represents a vertical translation of \left[\begin{array}{ccc}0\\c\\\end{array}\right]

• If c > 0 then upward shift of c units

• If c < 0 then downward shift of c units

here g(x) is shifted down by 2 units ⇒ c = - 2

h(x) = 3x - 3 - 2 = 3x - 5 → D



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Quadratic equations of the form _____ can be solved using square roots
icang [17]

Answer:

Step-by-step explanation:

Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots:  Take the square root of both sides, prefacing the right side with " ± "

6 0
3 years ago
A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
krek1111 [17]

Answer:

a) \hat p=\frac{1627}{5120}=0.3178

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

X=1627 number of permanent dwellings on the entire reservation that are traditional hogans.

n=5120 random sample taken

\hat p=\frac{1627}{5120}=0.318 estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

p true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

\hat p=\frac{1627}{5120}=0.3178

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301

0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335

The 99% confidence interval would be given by (0.301;0.355)

8 0
3 years ago
Which statement is true about the given set of data? {(4, 0), (5, 0), (8, 0), (11, 0)}
Anni [7]

Answer:

a

4,5,8,11 are the domain

Step-by-step explanation:

x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a

7 0
3 years ago
* NOTICE THIS IS A 2 PART QUESTION
blondinia [14]

Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210

Step-by-step explanation:

Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.

Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be

300 + 0.7x

Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.

This means that the total cost of using plan B would be

40 + 0.9x

For both plans to be the same,

300 + 0.7x = 40 + 0.9x

0.9x - 0.7x = 300 - 40

0.2x = 260

x = $1300

The total yearly amount paid to the warehouse for each plan would be

40 + 0.9 × 1300 = $1210

6 0
3 years ago
How do i graph the equation y= -4x - 1
Serggg [28]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

3 0
3 years ago
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