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2 years ago

Write the equation for the function graphed below.

SAT

1 answer:

shusha [124]2 years ago

7 0

The equation of a line passing through (0, 0) and (2, 10) is y = 5x

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope of the line) and b is the y intercept.

Let us assume that the graph is a straight line passing through (0, 0) and (2, 10), hence:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{2-0} (x-0)\\\\y=5x$

The equation of a line passing through (0, 0) and (2, 10) is y = 5x

Find out more on Linear equation at: brainly.com/question/14323743

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A Pick out the verbs from the following sentences and say whether they are

sergey [27]

Answer:

hello you noob bsdk har mahadev ka hai to thoda aur bta bro and then give us an Indian I am not sure if you have to leave clan of

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3 years ago

In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the f

Aloiza [94]

The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

Given the data in the question;

Frequency of sound wave a; $f_a = 196Hz = 196s^{-1}$

Wavelength of sound wave a; $\lambda _a = 1.76m$

Speed of sound wave; $v =\ ?$

Frequency of sound wave b; $f_b = 784Hz = 784s^{-1}$

Wavelength of sound wave b; $\lambda _b = ?$

<h3>Wavelength</h3>

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

$\lambda = \frac{v}{f}$

Where v is velocity and f is frequency.

First, we calculate the velocity of the sound wave in air from sound wave a.

$\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s$

Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.

$\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m$

Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

Learn more about wavelength: brainly.com/question/27120701

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2 years ago

Fun fact

trapecia [35]

DOES IT REALLY THO? I need to know.

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3 years ago

the base of a pyramid has the same area as the base of a cylinder, and the cylinder is twice the height of the pyramid. What is

-BARSIC- [3]

1 to 6

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Read more at http://www.crackact.com/act/math/question-175-answer-and-explanation.html#meW66CYbSBhol9Ry.99</span>

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3 years ago

For how many integers $n$ does the inequality $x^2 + nx + 15 < 0$ have no real solutions $x$?.

Rom4ik [11]

By making the determinant equal to or smaller than zero, we will see that there are 15 values of n such that the inequality has no real solution.

<h3>Solving the inequality:</h3>

Here we have the inequality:

x^2 + n*x + 15 < 0

We want to see for which values of n we don't have real solutions.

Now, we can write the quadratic equation:

y = x^2 + nx + 15.

If the determinant of this quadratic equation is negative or 0, then we have a single root or we don't have roots, and because the leading coefficient is positive, that would mean that the function never becomes negative. Then for these cases, the inequality has no real solutions.

Then we must have:

n^2 - 4*15*1 ≤ 0

Now we can solve this for n.

n^2 ≤ 60

Then if n^2 is smaller than 60, we don't have real solutions, and we know that:

√60 = 7.75

Then we have:

-7.75 ≤ n ≤ 7.75

But n can only be an integer, so we can write:

-7 ≤ n ≤ 7

From -7 to 7 there are 15 integers, then there are 15 values of n such that the inequality has no real solutions.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

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2 years ago