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MAXImum [283]
3 years ago
13

Pairs that satisfy function y=2x+1

Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Test a pair from each table by substituting their values into the given equation and solving.

A) y = 2x + 1 .......... 2 = 2(0) + 1 .......... 2 ≠ 1

B) y = 2x + 1 .......... 1 = 2(0) + 1 .......... 1 = 1

C) y = 2x + 1 .......... -1 = 2(0) + 1 .......... -1 ≠ 1

D) y = 2x + 1 .......... -2 = 2(0) + 1 .......... -2 ≠ 1


The only pair that satisfied the equation was from answer choice B. Therefore, B is the correct answer.

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The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clyde
Lubov Fominskaja [6]

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

z=\frac{x-\mu}{\sigma}

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

3 0
3 years ago
Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩
erastovalidia [21]
\mathbf r(t)=\langle t^2,1-t,4t\rangle
\implies\mathbf r'(t)=\langle 2t,-1,4\rangle

\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)
=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle
=(-40-4-20)+(-125-36+60)
=-165
6 0
3 years ago
Which represents the polynomial written in standard form?<br><br> 4m – 2m4 – 6m2 + 9
zmey [24]
If you would like to write the polynomial in standard form, you can do this like this:

4m - 2m^4 - 6m^2 + 9

Writing the polynomial in standard form<span> means that you have to </span>write<span> the terms by descending degree:
</span>- 2m^4 - 6m^2 + 4m + 9

The correct result would be <span>- 2m^4 - 6m^2 + 4m + 9.</span>
5 0
3 years ago
Read 2 more answers
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft if the distance between his classroom in the
topjm [15]

Answer:

the actual distance is 1800 ft.

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

Let x be the actual distance.

As per the statement:

Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.

⇒1 inch = 150 ft.

if the distance between his classroom in the cafeteria measures 12 in on the map.

by definition of proportions we have;

\frac{1}{150} = \frac{12}{x}

By cross multiply we have;

x = 12 \cdot 150 = 1,800 ft

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4 0
3 years ago
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I need help with my homework can anyone help ?
attashe74 [19]
I can help with part b
6 0
3 years ago
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