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3 years ago

What is the absolute value equation for this graph?

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

Answer:

y = -|x +2| +4

Step-by-step explanation:

The parent function y=|x| is shifted to the left 2 units, so x is replaced by x+2. It is reflected across the x-axis, so is multiplied by -1: -|x+2|. It is shifted up 4 units, so has 4 added to it:

y = -|x+2| + 4

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the nth term of a sequence is fine by the expression 5-3n write down the first two terms of this sequence

Len [333]

$a_1=5-3\cdot1=5-3=2\\
a_2=5-3\cdot2=5-6=-1\\$

5 0

3 years ago

6+2 divided by 15 (76 x 100)= ??

larisa [96]

Answer:

Step-by-step explanation:

We have to use PEMDAS

P is parentheses so we turn it to 6 + 2 divided by 15(7600)

E is for exponents but we don't have any

M is for multiplication and we have that so its 6 + 2 divided by 114000

D is for division so now its 6 + 1.754

A is for addition so 7.75400

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3 years ago

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A soccer field is 100 meters long. What could the length in yards

Zolol [24]

Answer:

109 yards.

Step-by-step explanation:

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3 years ago

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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20

Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.23\\H_A: p < 0.23$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305$

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

5 0

3 years ago

A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn an

ArbitrLikvidat [17]

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46......no serve

Answer......is 6 feet

5 0

3 years ago