Which equation(s) below is parallel to y = x-5

iragen [17]

The binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.

<h3>How to expand the power of a binomial</h3>

Herein we have the seventh power of a binomial, whose expanded form can be found by using the binomial theorem and Pascal's triangle. Hence, we find the following expression for the expanded form:

(2 · x + y)⁷

(2 · x)⁷ + 7 · (2 · x)⁶ · y + 21 · (2 · x)⁵ · y² + 35 · (2 · x)⁴ · y³ + 35 · (2 · x)³ · y⁴ + 21 · (2 · x)² · y⁵ + 7 · (2 · x) · y⁶ + y⁷

128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷

Then, the binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.

To learn more on binomials: brainly.com/question/12249986

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6 0

1 year ago

What is x/(-11)= -3

Zanzabum

Answer:

x=33

Step-by-step explanation:

x/(-11)=-3

First multiply: x/(-11)*(-11)=-3*(-11)

Any two negative numbers that are multiplied equal a positive so: x=33

3 0

3 years ago

According to the Public Health Service (PHS), the optimal concentration of fluoride in public water supplies is 0.70 mg/L. Suppo

ASHA 777 [7]

Answer:

Alicia conclude that the mean fluoride level is less than or equal to the PHS recommendation.

Step-by-step explanation:

We are given that the Public Health Service (PHS), the optimal concentration of fluoride in public water supplies is 0.70 mg/L.

Alicia tests the water from 60 randomly selected residences and finds that the mean fluoride concentration is 0.79 mg/L, with a standard deviation of 0.36 mg/L.

Let $\mu$ = population mean fluoride level

SO, Null Hypothesis, $H_0$ : $\mu \leq$ 0.70 mg/L {means that the mean fluoride level is less than or equal to the PHS recommendation}

Alternate Hypothesis, $H_a$ : $\mu$ > 0.70 mg/L {means that the mean fluoride level is significantly higher than the PHS recommendation}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean fluoride concentration = 0.79 mg/L

s = sample standard deviation = 0.36 mg/L

n = sample of residences = 60

So, test statistics = $\frac{0.79-0.70}{{\frac{0.36}{\sqrt{60} } } }$ ~ $t_5_9$

= 1.94

P-value of the test statistics is given to us as 0.03.

The decision rule based on p-value is given by;

If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

Now, here the P-value is 0.03 which is clearly higher than the level of significance of 0.01, so we will not reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean fluoride level is less than or equal to the PHS recommendation.

5 0

3 years ago

molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile

prohojiy [21]

So,

Molly runs two-thirds of a mile in 8 minutes.

$\frac{2}{3} = 8$

Multiply both sides of the equation by the reciprocal.
$\frac{2}{3} * \frac{3}{2} = \frac{8}{1} * \frac{3}{2}$

$1\ mile\ = \frac{8}{3} \ min.\ or\ 2 \frac{2}{3}\ min.\ or\ 2.666...\ min.\ or\ 2\ min.\ 40\ secs.$

7 0

3 years ago

Simplify the problem by canceling then multiply. What is 2/9 × 3/5

andrew-mc [135]

2/9 and 3/5 cancel each other out:

2/3 and 1/5 is the new fraction

2/3 * 1/5 = 2/15

8 0

3 years ago