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3 years ago

Here's a graph of a linear function. Write the equation that describes that function. (If blurry zoom in.)

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

$y=\frac{1}{4}x+3$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Find the slope

Take two points from the graph

(0,3) and (4,4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-3}{4-0}$

$m=\frac{1}{4}$

The y-intercept is the point (0,3)

$b=3$

substitute

$y=\frac{1}{4}x+3$

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11. Mir. Ed earns $14.50 per hour. His regular hours are 40 hours per week, and he

faust18 [17]

Answer:

$688,75

Step-by-step explanation:

Mr Ed has for the week 40 hours in regular time because thats the agreement for him and the company, it means any other working hour is over time.

If Mr Ed has 45 hours for this week, 40 hours are regular time and 5 hours are over time for wich he receives 1,5 times his pay per hour

=(40x14,50)+(5x1,5x14,50)

=$688,75

3 0

3 years ago

Write the equation of the line in slope-intercept form when given m=-6 and (-1,3)

Dmitry_Shevchenko [17]

Step-by-step explanation:

y=mx+b

y=-6x+b

3=-6(-1)+b

b=-3

y=-6x-3

3 0

3 years ago

Problem 7-35 A satellite range prediction error has the standard normal distribution with mean 0 NM and standard deviation 1 NM.

hammer [34]

Answer:

Kindly check explanation

Step-by-step explanation:

For a normal distribution with :

Mean(m) = 0

Standard deviation (s) = 1

Calculate :

(a) less than 1.17 NM Probability

Zscore = (x - m) / s = (1.17 - 0) / 1 = 1.17

P(z < 1.17) = 0.879

(b) between 1.04 NM and 1.99 NM Probability

Zscore = (x - m) / s = (1.04 - 0) / 1 = 1.04

P(z < 1.04) = 0.8508

Zscore = (x - m) / s = (1.99 - 0) / 1 = 1.99

P(z < 1.99) = 0.9767

(0.9767 - 0.8508) = 0.1259

P(Z > 0.93) = 1 - p(Z < 0.93) = 1 - 0.8238 = 0.1762

(d) between 0.24 NM and 0.73 NM Probability

P(Z < 0.24) = 0.5948

P(Z <0.73) = 0.7673

0.7673 - 0.5948 = 0.1725

(e) less than or equal to 2.3 NM Probability

P(Z ≤ 2.3) = 0.9893

(f) greater than 2.22 NM or less than .65 NM

P(Z > 2.22) = 1 - p(Z < 2.22) = 1 - 0.9868 = 0.0132

P(Z < 0.65) = 0.7422

0.7422 - 0.0132 = 0.729

(g) greater than or equal to 2.0 NM Probability

P(Z ≥2) = 1 - p(Z ≤ 2)

1 - 0.97725 = 0.02275

3 0

3 years ago

PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Brums [2.3K]

The given matrix equation is,

$1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$ .

Multiplying the matrices with the scalars, the given equation becomes,

$\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$