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2 years ago

A line with a slope of 9/7 passes through the point (7, 14).What is its equation in slope -intercept form?

Mathematics

1 answer:

ad-work [718]2 years ago

6 0

Answer:

y=9/7x+5

Explanation:

We have the slope, and a point that is not an intercept. We can use Desmos graphing calculator to test y-intercepts.

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The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

AfilCa [17]

Answer

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

$y = A \sin(Bx + C) + D$

Where

$|A| = Amplitude$

And it is calculated as:

$A = \frac{1}{2}[Highest - Least]$

From the table:

Highest = 77 and Least = 21

So:

$A = \frac{1}{2}[77 - 21]$

$A = \frac{1}{2}[56]$

$A = 28$

B is calculated as:

$Period = \frac{2\pi}{B}$

The period is 12 i.e. 12 months

So:

$\frac{2\pi}{B} = 12$

$B = \frac{2\pi}{12}$

$B = \frac{\pi}{6}$

C is calculated as:

$\frac{C}{B} = -4$

$C = -4 * B$

$C = -4 * \frac{\pi}{6}$

$C = -2 * \frac{\pi}{3}$

$C = -\frac{2\pi}{3}$

Lastly, D is calculated as:

$D = Least + A$

So:

$D =21 + 28$

$D=49$

So, the function is:

$y = A \sin(Bx + C) + D$

$y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49$

8 0

3 years ago

Please give an explanation with you answer, thank you :)

Genrish500 [490]

$f(x)=2( \sqrt[3]{27})^{2x}$

Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.

So,

$Base= \sqrt[3]{27} \\ \\ 
Base= \sqrt[3]{3^{3} } \\ \\ 
Base=3$

Thus, the simplified base for the function is 3. So correct answer is option B

4 0

4 years ago

What is the question of the opposite of 30 and 6 plus the opposite of 8

Yuri [45]

If you meant what I asked above, then your answer is -44. If you add negative numbers, they go down instead of up or they basically became the opposite of positive if that makes sense.

5 0

3 years ago

Will mark brainliest!! Determine the slope of the line

Natalka [10]

Answer:

1/2

Step-by-step explanation:

y2 - y1. over. x2 - x1

8 0

3 years ago

Read 2 more answers

It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT, but scores 1600 and above

Citrus2011 [14]

Answer:

The proportion of scores reported as 1600 is 0.0032

Step-by-step explanation:

Let X be the score for 1 random person in SAT combining maths and reading. X has distribution approximately N(μ = 1011,σ = 216).

In order to make computations, we standarize X to obtain a random variable W with distribution approximately N(0,1)

$W = \frac{X-\mu}{\sigma} = \frac{X-1011}{216} \simeq N(0,1)$

The values of the cummulative distribution function of the standard Normal random variable, lets denote it $\phi$ are tabulated, you can find those values in the attached file. Now, we are ready to compute the probability of X being bigger than 1600

$P(1600< X) = P(\frac{1600-1011}{216} < \frac{X-1011}{216}) = P(2.7269 < W) = 1- \phi(2.7269)\\= 1- 0.9968 = 0.0032$

Hence, the proportion of scores reported as 1600 is 0.0032.

Download pdf

5 0

4 years ago