1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vilka [71]
3 years ago
12

What is the equation of the line with a slope of 3/4 that goes through the point (4,1) in slope-intercept form ?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

The slope-point form of a line:

y-y_0=m(x-x_0)

We have

m=\dfrac{3}{4}\\\\(4,\ 1)\to x_0=4,\ y_0=1

Substitute:

y-1=\dfrac{3}{4}(x-4)

The slope-intercept form:

y=mx+b

Solve for y:

y-1=\dfrac{3}{4}(x-4)\qquad|\text{use distributive property}\\\\y-1=\dfrac{3}{4}x-3\qquad|\text{add 1 to both sides}\\\\y=\dfrac{3}{4}x-2

Answer: D.

You might be interested in
The circumference of a circle is 18.84 inches. what is the circle's radius
vivado [14]

Answer:

Circumference : 18.84 inches

Radius: 3 inches

6 0
3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
Which could be the measure of <br> A.) 38<br> B.) 42<br> C.) 44<br> D.) 52
vichka [17]
Well you can check what type of angle it is! like depending on how it is slouched like a right angle is 90° for example.
3 0
3 years ago
What the heck is .134 as a fraction please help!!!!!!!!!
natali 33 [55]
0.134 = 134/1000 = 67/500
4 0
3 years ago
Read 2 more answers
Can U Guys Please Answer These 3 Questions For Me
Damm [24]

Answer:

Step-by-step explanation:

7-2+(4•7)

5+28

=33

3 0
3 years ago
Read 2 more answers
Other questions:
  • How to factorise 24x+3
    11·1 answer
  • A homeowner has 5 cherry tomato plants in her garden. Over the course of the season the yields (in pints of tomatoes per plant)
    13·1 answer
  • A random sample of 500 reports an average yearly income of $42,000 with a standard deviation of $1000. An estimate of the parame
    10·1 answer
  • Simplify 3/x-1 + 1/x-2
    13·1 answer
  • Given the function y = -5x + 4, what is the range of the function if the domain is {-2, 0, 5}?
    11·1 answer
  • A soft-drink vending machine is supposed to pour 500ml of the drink
    13·2 answers
  • A company buys a digital scanner for $12,000. 
    9·1 answer
  • HELP THANKS XD I DONT FEEL LIKE LOOKING THIS UP 56 x 32 =
    14·2 answers
  • If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram
    8·1 answer
  • If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!