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Gnoma [55]
3 years ago
7

Please help! Write in y=mx+b

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

1.  y = 3x -1

2. y = -2x - 2

3.  y = -x - 4

Step-by-step explanation:

we already know the slope of the three lines.

We know that the equation of a line is

y = mx + b

We only need one point.

1. First graph

m = 3

pto (1, 2)

Then the equation is:

y = 3x + b

Now we substitute the point in the equation and clear b.

2 = 3(1) + b

b = -1

Finally the equation is:

y = 3x -1

2. Second graph.

m = -2

pto (-2, 2)

Then the equation is:

y = -2x + b

Now we substitute the point in the equation and clear b.

2 = -2(-2) + b\\b = -2

Finally the equation is:

y = -2x -2

3. Third graphic

m = -1

pto (-1, -3)

Then the equation is:

y = -x + b

Now we substitute the point in the equation and clear b.

-3 = -1(-1) + b

b = -4

Finally the equation is:

y = -x - 4

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The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an
AURORKA [14]

Answer:

171 newspapers.

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 = 150, \sigma = 25

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

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

0.84 = \frac{X - 150}{25}

X - 150 = 0.84*25

X = 171

So 171 newspapers.

4 0
3 years ago
In everyday English, interpret the financial meaning of the
Gemiola [76]

Answer:

The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.

In the given equation, the y-intercept is ( 0, 9.5).

Step-by-step explanation:

We have been given the equation;

y=0.10x+9.50

The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.

y = 0.10 (0) + 9.50

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is our y-intercept

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\mathrm{Domain\:of\:}\:x^2+2x-15\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}x^2+2x-15:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-16\:\\ \:\mathrm{Interval\:Notation:}&\:[-16,\:\infty \:)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:x^2+2x-15:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\left(-5,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-15\right)

\mathrm{Vertex\:of}\:x^2+2x-15:\quad \mathrm{Minimum}\space\left(-1,\:-16\right)

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