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3 years ago

Please graph y= |x-4|=2

Mathematics

1 answer:

anygoal [31]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

y = |x -4| +2 is a graph of the absolute value function shifted right 4 units and up 2.

_____

When x has been replaced by x-h, the graph has been shifted right h units.

When y has been replaced by y+k, the graph has been shifted up k units.

When y = |x| has been replaced by y = |x -4| +2, the graph of |x| has been shifted right 4 units and up 2.

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7.54 repeating decimal as a mixed number in simplest form

Troyanec [42]

Answer:

7 27/50

Step-by-step explanation:

3 0

3 years ago

Nick owns 500 of the 100,000 shares available.

yaroslaw [1]

To get the percentage of how much Nick owns, we have to divide the part (500) by the whole (100,000) then multiply the product by 100.

500 / 100,000 = 0.005

0.005 × 100 = .5%

Nick is entitled to $2,500,000 × .5% = $12,500

6 0

3 years ago

An object was launched off the top of a building. The function f(x)=-16x^2+16x+672 represents the height of the object above the

Katarina [22]

Answer:

6x2 + 16x = 672

Reorder the terms:

16x + 16x2 = 672

Solving

16x + 16x2 = 672

Solving for variable 'x'.

Reorder the terms:

-672 + 16x + 16x2 = 672 + -672

Combine like terms: 672 + -672 = 0

-672 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.

16(-42 + x + x2) = 0

Factor a trinomial.

16((-7 + -1x)(6 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms: 0 + 7 = 7

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying

6 + -1x = 0

Solving

6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -1x = 0 + -6

-1x = 0 + -6

Combine like terms: 0 + -6 = -6

-1x = -6

Divide each side by '-1'.

x = 6

Simplifying

x = 6

Solution

x = {-7, 6}

Step-by-step explanation:

4 0

3 years ago

A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sample of 500 homeowners in Oma

kotegsom [21]

Answer:

There is no enough evidence to reject the claim using a level of significance of 5%

Step-by-step explanation:

Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test

$H_{0}: p = p_{0} = 0.65$ vs $H_{1}: p\neq 0.65$ (two-tailed alternative).

We have a large sample of size n = 500 and a point estimate for p is $\hat{p}=0.68$ . The test statistic is given by

$Z=\frac{\hat{p}-p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}=\frac{0.68-0.65}{\sqrt{0.65(1-0.65)/500}}$ where $\sqrt{0.65(1-0.65)/500}$ is the standard error of $\hat{p}$ when $H_{0}$ is true. The observed value is $z_{0}$ = 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.

6 0

3 years ago

Which two expressions are equivalent? A. 4(2 + x) and 4•2+2•x, B. 4+2 + x and (4 + 2)+x, C. 4•X + 2 and 4•(x+2), D. 4 / (2 - x)

kirill115 [55]

Answer:

Step-by-step explanation:

8 0

3 years ago

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