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Nimfa-mama [501]
3 years ago
14

Solve by substitution ANSWER NOW

Mathematics
1 answer:
Maslowich3 years ago
5 0
Y = -5x + 9
y = 5x + 7

5x + 7 = -5x + 9
5x + 5x = 9 - 7
10x = 2
x = 2/10 reduces to 1/5

y = 5x + 7
y = 5(1/5) + 7
y = 1 + 7
y = 8

solution is (1/5,8)
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Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this
Drupady [299]

3<em>x</em>⁴ = 3<em>x</em>³ • <em>x</em>, and

3<em>x</em>³ (<em>x</em> - 2) = 3<em>x</em>⁴ - 6<em>x</em>³

Subtract this from the numerator to get a remainder of

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (3<em>x</em>⁴ - 6<em>x</em>³) = -2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5

-2<em>x</em>³ = -2<em>x</em>² • <em>x</em>, and

-2<em>x</em>² (<em>x</em> - 2) = -2<em>x</em>³ + 4<em>x</em>²

Subtract this from the previous remainder to get a new remainder of

(-2<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) - (-2<em>x</em>³ + 4<em>x</em>²) = -5<em>x</em>² + 9<em>x</em> + 5

-5<em>x</em>² = -5<em>x</em> • <em>x</em>, and

-5<em>x</em> (<em>x</em> - 2) = -5<em>x</em>² + 10<em>x</em>

Subtract this from the last remainder to get a new one of

(-5<em>x</em>² + 9<em>x</em> + 5) - (-5<em>x</em>² + 10<em>x</em>) = -<em>x</em> + 5

-<em>x</em> = -1 • <em>x</em>, and

-1 (<em>x</em> - 2) = -<em>x</em> + 2

This gives a new remainder of

(-<em>x</em> + 5) - (-<em>x</em> + 2) = 3

3 does not divide <em>x</em>, so we're done.

So, we have

(3<em>x</em>⁴ - 8<em>x</em>³ - <em>x</em>² + 9<em>x</em> + 5) / (<em>x</em> - 2) = 3<em>x</em>³ - 2<em>x</em>² - 5<em>x</em> - 1 + 3/(<em>x</em> - 2)

7 0
3 years ago
During a sale a store offered a 40% discount on a particular camera that was originally price at $450 after the sale the discoun
Artemon [7]

£378


$450×0.6=$270.

$270×1.4=$378

3 0
4 years ago
The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the wid
Serjik [45]
27 feet because is the equal
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3 years ago
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romanna [79]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
A videotape store has an average weekly gross of $1,158 with a standard deviation of $120. Let x be the store's gross during a r
statuscvo [17]

Answer:

The number of standard deviations from $1,158 to $1,360 is 1.68.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1158, \sigma = 120

The number of standard deviations from $1,158 to $1,360 is:

This is Z when X = 1360. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1360 - 1158}{120}

Z = 1.68

The number of standard deviations from $1,158 to $1,360 is 1.68.

3 0
3 years ago
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