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Tom [10]
3 years ago
11

A computer programmer charges $45 an hour for a coding projects plus a start-up fee of $150.

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

Part 1) y=45x+150

Part 2) The total charge is \$1,175

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form to represent the total cost, y, of a project that takes x hours

Let

x ----> the number of hours

y ----> the total cost

we know that

The equation of the in slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that the charge of  $45 an hour for a coding projects is equal to the slope m of the linear equation

so

m=45\frac{\$}{hour}

The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is the total cost when the number of hours is equal to zero (the y-intercept is the start-up fee of $150)

so

b=\$150

The linear equation is

y=45x+150

Part 2) How much does the programmer charge for a coding project that takes 25 hours?

For x=25 hours

substitute in the linear equation and solve for y

y=45(25)+150

y=\$1,175

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Mama L [17]

Answer:

Acute angle, right angle, obtuse angle and reflex angle.

Step-by-step explanation:

Acute angle -

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4 0
3 years ago
Help don’t understand
marusya05 [52]

Answer:

f(-14) = -6

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negative

Step-by-step explanation:

f(-14) = -6

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f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

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6 0
2 years ago
Experimental data are collected as:
aliina [53]

Answer:

y = 1.00114x + 1.75243

Step-by-step explanation:

Given

The x and y values

Required

The regression line equation

Because of the length of the given data, I will run the analysis using online tools, then analyze the result.

From the analysis, we have:

\sum x = 5050

\sum y = 5231.1011

\bar x = 50.5

\bar y = 52.311

SSX = 83325 --- Sum of squares

SP = 83419.7626 --- Sum of products

The regression equation is calculated as:

y = ax + b

Where:

a = \frac{SP}{SSX}

So, we have:

a = \frac{83419.76}{83325}

a = 1.00114

b = \bar y - a * \bar x

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b = 1.75243

So:

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6 0
2 years ago
Someone help?!.........
koban [17]
Answer: y = -2x + 16

Explanation:

Use point slope form:

(y1 - y) = m(x1 - x)

y1 = 6 and x1 = 5 and m = -2

6 - y = -2(5 - x)
6 - y = -10 + 2x
-y = 2x - 10 - 6
-y = 2x - 16
y = -2x + 16
5 0
3 years ago
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