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
attashe74 [19]
3 years ago
15

Which equation represents the graphed function?

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Solution:

we have been asked to find

Which equation represents the graphed function?

As we can see in the graph, the line is passing through the point (2,0) and (0,-3).

As we know the equation of the passing through two points is given by the formula

(y-y_1)=m(x-x_1)\\
\\
m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2}  \\

So the equation of the line will be

y-0=\frac{3}{2}(x-2)\\
\\
y= \frac{3}{2}x-3\\
\\

lisabon 2012 [21]3 years ago
5 0

The equation which represents the graphed function is \fbox{\begin\\\ \math y=\dfrac{3x}{2}-3\\\end{minispace}}.

Further explanation:

From the given graph of a function it is observed that the curve intersects the x-axis at one point and intersects the y-axis at one point.

This implies that there is one x-intercept and one y-intercept.

x-intercept is defined as a point where the curve intersects the x-axis.

y-intercept is defined as a point where the curve intersects the y-axis.

From the given graph it is observed that the point where the curve intersects the x-axis is (2,0) and the point where the curve intersects the y-axis is (0,-3).

Therefore, the line passes through the points (2,0) and (0,-3).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

The point (x_{1},y_{1}) and (x_{2},y_{2}) for the given line are (2,0) and (0,-3).

The value of slope of the given line is calculated as follows:

\begin{aligned}m&=\dfrac{-3-0}{0-2}\\&=\dfrac{-3}{-2}\\&=\dfrac{3}{2}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{3}{2}\\\end{minispace}}.

The slope intercept form of a line is as follows:

\fbox{\begin\\\ \math y=mx+c\\\end{minispace}}      (1)

In the above equation m represents the slope and c represents the y-intercept.

From the graph it is observed that the value of c is -3.

To obtain the equation of the line substitute -3 for c and \dfrac{3}{2} for m in equation (1).

y=\dfrac{3}{2}x-3

Therefore, the equation which represents the line in the given graph is \fbox{\begin\\\ \math y=\dfrac{3}{2}x-3\\\end{minispace}}.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445  

Answer details

Grade: High school

Subject: Mathematics  

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, (2,0), (0,-3), point slope form.

You might be interested in
Qustion to give kagimatoby a brainly
Colt1911 [192]

Answer:

wdym

Step-by-step explanation:

7 0
3 years ago
What’s another way to write 56
Viktor [21]

Answer:

56.00 OR 5.6* 10^-1


5 0
3 years ago
Read 2 more answers
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​, and a standard deviation given by
kirza4 [7]

Answer: a) The probability is approximately = 0.5793

b) The probability is approximately=0.8810

Step-by-step explanation:

Given : Mean : \mu= 62.5\text{ in}

Standard deviation : \sigma = \text{2.5 in}

a) The formula for z -score :

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Sample size = 1

For x= 63 in. ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{1}}}=0.2

The p-value = P(z

0.5792597\approx0.5793

Thus, the probability is approximately = 0.5793

b)  Sample size = 35

For x= 63 ,

z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18

The p-value = P(z

= 0.8809999\approx0.8810

Thus , the probability is approximately=0.8810.

6 0
3 years ago
Please help me with this!! (20 points)
alexandr402 [8]

Answer:

BC, BD

Step-by-step explanation

If right please brainly

5 0
3 years ago
10 + 4 (5 + x)<br> Helpppppll
Harlamova29_29 [7]

Answer:4x+30

Step-by-step explanation:

Distribute 4(5+x) to get 20+4x

So then 10+20+4x

Which is 4x+30

4 0
3 years ago
Read 2 more answers
Other questions:
  • 1
    13·2 answers
  • Jake, Andy, and Damon caught 78 pounds of large mouth bass. Jake caught 22 pounds. Andy caught at least 30 pounds, but no greate
    6·1 answer
  • 9 is 10% of what number
    5·2 answers
  • At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be
    15·2 answers
  • IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?
    12·1 answer
  • 3x + 5 = 39<br> How do I do this. Do I make the x by itself
    12·2 answers
  • Find the missing value:<br> __+6=-3
    9·2 answers
  • What is the solution set of y = x2 + 2x + 7 and y = x + 7?
    5·1 answer
  • Mala has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of bangles of each type?
    12·1 answer
  • Xavier traveled 8,658 miles in 17 days. On average, how many miles per day did he travel
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!