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3 years ago

Change 5x-3y=3 in slope intercept and graph it

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

An equation in the form of slope intercept is written as y=mx+b. That means that we need to get y positive, which we can do by adding 3y to each side, and then subtracting 3 from each side to get y by itself. Doing all of these steps, the equation becomes 3y=5x-3. But, we're not done because we still need to get y equal to one, which we can do by dividing each side of the equation by 3. This makes the equation become y=5/3x-1.

The graph of the equation looks like this:

You might be interested in

Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100 and a standard deviation sigma

Ksivusya [100]

Answer:

51.60% probability that a randomly selected adult has an IQ between 86 and 114.

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:

$\mu = 114, \sigma = 86$

Find the probability that a randomly selected adult has an IQ between 86 and 114.

Pvalue of Z when X = 114 subtracted by the pvalue of Z when X = 86. So

X = 114

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

$Z = \frac{114 - 100}{20}$

$Z = 0.7$

$Z = 0.7$ has a pvalue of 0.7580

X = 86

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

$Z = \frac{86 - 100}{20}$

$Z = -0.7$

$Z = -0.7$ has a pvalue of 0.2420

0.7580 - 0.2420 = 0.5160

51.60% probability that a randomly selected adult has an IQ between 86 and 114.

3 0

4 years ago

Given that the point (4,10) is a max on the quadratic function, explain whether these statements are true or false:

11Alexandr11 [23.1K]

Answer:

(a) TRUE; (b) FALSE; (c) TRUE

Step-by-step explanation:

a. The instantaneous rate of change at 4 is 0. TRUE.

The function is f(x) = a(x-4)^2 - 10; the derivative of this function is f '(x) = 2a(x-4), which must equal zero (0) at the vertex / max (4,10). Zero slope at the vertex corresponds with instantaneous rate of change zero at that point.

b. f(6)>f(4). FALSE.

Using the function given in (a), above, f(x) = a(x-4)^2 - 10. Since (4,10) is the max of this function, f is increasing on (-infinity, 4) and decreasing on (4, infinity). Thus, f(6) is smaller than f(4).

c. There is only one possible value for x that has an instantaneous rate of change = 0. TRUE

The inst. rate of change takes on the value 0 only at (4,10), since (4,10) is the vertex of this downward-opening parabolic graph.

7 0

3 years ago

Are we likely to widen or shrink the margin of error if we convert from millimeters to feet squared.

11111nata11111 [884]

Answer:

Neither, these units cannot be converted to one another.

Step-by-step explanation:

6 0

3 years ago

Pleaseee helppp meeeeee

Alinara [238K]

I think its either A or C. Leaning more to A. Do you think you could explain the question just a bit more?

3 0

3 years ago

Help I will be marking brainliest!!!

monitta

I got A. 48.1 and here’s what I did

8 0

3 years ago