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
Leto [7]
3 years ago
15

Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to expl

ain how you got the slope, y-intercept, and inequality.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

y

Step-by-step explanation:

First of all, let us try to find out the equation.

We can easily observe from the graph the values of x and y intercept.

x intercept is the value where y coordinate is 0.

We can see that y is 0 at x  = 4

So, x intercept (4, 0)

y intercept is the value where x coordinate is 0.

We can see that y is 1 at x  = 0

So, x intercept (0, 1)

Now, we have 2 points for the equation of line.

Slope intercept form:

y=mx+c

Slope of a line:

m=\dfrac{y_2-y_1}{x_2-x_1}

x_1 = 0\\x_2 = 4\\y_1 = 1\\y_2 = 0

m=\dfrac{0-1}{4-0}\\\Rightarrow m  =-\dfrac{1}{4 }

y=-\dfrac{1}{4} x+c

Putting the point (0, 1):

1=-\dfrac{1}{4} \times 0+c\\\Rightarrow c = 0

So, the equation becomes:

y=-\dfrac{1}{4} x+1

Let us try to put a point (0, 0) in the equation.

LHS becomes 0.

RHS becomes 1.

LHS < RHS (Only less than sign used because the line is dashed not solid)

So, the inequality is:

y

You might be interested in
Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value
Ksju [112]

-2

becasue we

-2x-4y

-2 = A

7 0
3 years ago
Read 2 more answers
Which word could describe the relationship of the lines containing the points (1, 6) and (1, 3)?
Elan Coil [88]

Answer:

Coincidental

Step-by-step explanation:

<em>If the two lines have the same two points, they must also have the same slope </em><em>and</em><em> the same y intercept. From this we can deduct that they are actually the same line. Two lines that are directly on top of each other are considered coincidental lines.</em>

3 0
3 years ago
The value of sales at the shop decreases from 145,000 a year to 129,000 find the percentage decrease in the value of sales
iren [92.7K]

Answer:

11.0344828%

Step-by-step explanation:

145000 - 129000 = 16000.

16000/145000 = 16/145 = 0.110344828

Therefore there was a 11.0344828% decrease

5 0
3 years ago
Read 2 more answers
A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled
klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

6 0
3 years ago
Can anybody help? Exponential Functions
lana [24]
................................................................................................
4 0
3 years ago
Other questions:
  • What is 27_8_11 +47_2_5
    8·1 answer
  • Falcon 13 miles an hour more than 6 times the speed of human how fast is the fastest human
    11·1 answer
  • if a company has 150 shares of common stock ans $15,000.00 to be distributed to its holders, how much would each share receive?
    14·2 answers
  • If at least one interior angle is a reflex angle, then the polygon is concave.<br> False<br> True
    7·2 answers
  • What value of x makes the equation true?
    6·1 answer
  • What number is 40% of 90
    8·2 answers
  • The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in
    7·1 answer
  • BRAINLIEST! hello please help i’ll give brainliest
    14·2 answers
  • NEED HELP ASAP. (question in picture below)
    14·1 answer
  • ✰What is the area of the trapezoid shown below?✰
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!