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lana66690 [7]
2 years ago
5

Write a function for the line that includes points of (4,-5) and (8,-7) I WILL MARK BRAINLEAST FOR WHOEVER ANSWERS IT

Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

Answer:

y = -(1/2)x - 3

Step-by-step explanation:

it is the function for the two points.

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How much does 3.25m of lace cost if 0.8m costs $5.60?
lidiya [134]

Answer:

Step-by-step explanation:

3.25/.8=4.0625

multiply that by 5.6

$22.75 is your answer

8 0
2 years ago
Gary just started a new job as a nurse. he is given a starting salary of $58,550 per year. he is also told that his salary will
IRINA_888 [86]

Firts we need to find the rate of change, or in other words, the slope of the line.

Question 1:

a)

For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)

The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)

b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:

\begin{gathered} \begin{cases}A(x_a,y_a) \\ B(x_b,y_b)\end{cases} \\ m=\frac{y_a-y_b}{x_a-x_b} \end{gathered}

In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:

m=\frac{58,550-71,950}{0-10}=\frac{-13400}{-10}=1340

c) "The rate of change in Gary's salary is $1340 per year."

Question 2:

a) The slope intercept form of a line is:

y-y_1=m(x_{}-x_1)

Where:

y is the output of the function.

x is the input of the function. (we provide the function with a value for x and the function give us a value of y)

m is the slope of the line. We calculate it in question 1.

x1 is the x coordinate of a point we choose.

y1 is the y-coordinate of the same point of x1.

In this case, we know:

m = 1340;

And we can take the point (0, $58,550), thus:

x1 = 0

y1 = 58,550

b) Now we need to use all this values and use the slope-intercept form:

y-58,550=1340(x-0)

And solve to get:

y=1340x+58,550

Question 3:

a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:

\begin{gathered} \begin{cases}y=1340x+58,550 \\ x=13\end{cases} \\ y=1340\cdot13+58,550 \\ y=75,970 \end{gathered}

B) The salary of Gary in 13 years will be $75,970.

6 0
1 year ago
Helppppo plzn wkjejws​
Tamiku [17]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its v
topjm [15]

Answer:

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

g(x)=12500(0.91)^{x}

We have the function g(x) that represents the value of a piece of farm equipment after x years.

This means that when x=0 its original value is :

g(0)=12500(0.91)^{0}=12500

Now we want to calculate approximately when will its value be half its original value. Then, we write :

\frac{12500}{2}=6250

6250 is half of its original value. We need to find x that satisfies the following equation :

g(x)=6250=12500(0.91)^{x}

Solving for x :

6250=12500(0.91)^{x} ⇒

0.5=(0.91)^{x}

Now we apply natural logarithm to each side of the equation :

ln(0.5)=ln[(0.91)^{x}]

Using logarithm properties :

ln(0.5)=ln[(0.91)^{x}] ⇒

ln(0.5)=x[ln(0.91)]

x=\frac{ln(0.5)}{ln(0.91)} ⇒

x ≅ 7.3496

The correct option is B. 7.3 years

4 0
3 years ago
Paul says he is spending 10% of his income on entertainment. You know he spends about $36.00 weekly. What is his weekly income?
stepladder [879]
His income 324
10% is 0.1

5 0
3 years ago
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