Answers
Answer:
We have to find the equation of the red line
To get the equation of the line in the slope-intercept form,
we need its slope and its y-intercept
Finding the Slope
we know that the slope of a line is the rise of the line / run of the line between 2 points
here, the 2 points are already marked on the graph
So, slope = rise / run
we notice that the line rises only 2 units and runs 8 units between the points: (-5 , 3 ) and (3 , 5)
Slope = rise / run
now that we know the values of rise and run, we can plug the values to get the slope
Slope = 2 / 8
Slope = 1 / 4
Finding the y-intercept
We will now look at the point (-5 , 3) , we know that the slope is 1/4.
which means that every time the line moves 1 unit to the right, it also moves 1/4 units up
So, until the point (-1 , 4), the line has finally ascended 1 unit and now is at a proper coordinate
We can see that the line is only 1 unit to the left of the y-axis, so the y-coordinate of the line after moving 1 unit to the right is the y-intercept
since the line ascends 1/4 units every time it moves 1 unit to the right,
the ordinate of the line at the y-axis will be 1/4 more than the last ordinate (which was 4)
y-intercept = (4 + 1/4)
y-intercept = 17 / 4
Equation of the line
From the question, we know that the general form of the slope-intercept form is :
y = mx + b (where m is the slope and b is the y-intercept)
y = (1/4)x + (14/4)
y = (x + 14) / 4
Related Questions
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answers
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
Learn more about the labeled diagram here,
https://brainly.com/question/13354430
#SPJ2
-9,-6 after a rotation 90° counterclockwise about the origin
Answers
Answer:
90
Step-by-step explanation:
Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Which plumber charges the greatest hourly rate?
Answers
Answer: Took the test
Step-by-step explanation:
Answer fast please
Drag and drop each number to its correct position on the number line.
Answers
Answer:
-1 is the first one to the left of the 0
-5 is the 5th one to the left of the 0
2 is the 2nd one to the right of the 0
4 is the 4th one to the right of the 0
Step-by-step explanation:
hope this helped!
it would be cool if you gave me the brainliest.
Simplify 3a^2b^2x2ab+6a^3b^2
Answers
[tex]3 {a}^{2} \times {b}^{2} \times 2ab + 6 {a}^{3} \times {b}^{2} = [/tex]
[tex]6 {a}^{3} {b}^{3} + 6 {a}^{3} {b}^{2} = [/tex]
Factoring 6a^3 b^2
[tex]6 {a}^{3} {b}^{2}(b + 1) [/tex]
_________________________________
I think this is the correct answer.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
find the percent from 62 to 7
Answers
Answer:
66.34
Step-by-step explanation:
if my calculations are correct it should be 66.34
The answer should be 66.34
I need help for number 3
Answers
Answer: 3/2
Step-by-step explanation: 24 ÷ 2² + 8 (3/2) = 3/2
Answer:
i think this is the ans
Step-by-step explanation:
plezz mark brainliest
Fill in the box below to write an expression that is equivalent to:
7 (2x + y)
8x + 2y + 9x + 5y -
Answers
17x+7y
Or 31x+14y
What’s 11/3 divided in 2/3
Answers
Answer:
5 1/2
Step-by-step explanation:
11/3 divided by 2/3= 5 1/2
y=5x-3
x=5
i don’t understand-
Answers
Answer: y =5(5)-3
5*5=25-3 =22 ANSWER IS y=22
Find the value of x. PLEASE HELP - test tomorrow
The answer is 59.
I need to show my work.
THANK YOU!!!!!
Answers
Answer:
b and 59° are vertical angles so they are equal.
b=59°
100 POINTS!
STATS
EXPLANATION NEEDED
Answers
Answer:
Step-by-step explanation:
Answer:
500 dollars
Step-by-step explanation:
2.3r-y+6=21
Find r when y=7
Find y when r=4.23
Answers
Step-by-step explanation:
2.3r - 7 + 6 = 21
2.3r - 1 = 21
2.3r = 22
r = 22/2.3
r = 9.6
2.3(4.23) - y + 6 = 21
9.73 - y + 6 = 21
15.73 - y = 21
-y = 5.27
y = -5.27
Fred is making a wooden box in the shape of a right rectangular prism.
The dimensions of the box are 12 inches by 4- inches by 4- inches.
What is the volume of the wooden box?
Answers
Answer:
The volume of the box is 192.
Step-by-step explanation:
width * height * width = volume
so..
4 * 4 * 12 = 192.
describe the sequence of translation used to move figure 1 onto figure 2
Answers
A square garden and a hexagon garden have the same perimeter. The perimeter of the square garden is 4(x+7). The perimeter of the hexagon garden is 6(3x). What is the perimeter of each figure?
Answers
Answer:
36
Step-by-step explanation:
4(x+7) = 6(3x)
2(x+7) = 3(3x)
2x+14 = 9x
14 = 7x
x = 2
Plugging it back into the equation:
Hexagon = 6(3*2) = 6*6 = 36
Square = 4(2+7) = 4*9 = 36
Therefore, the perimeter of each figure is 36.
I dont understand this.
Answers
Answer:
88% left to consume
Step-by-step explanation:
880 of 1000
88/100
percentages are out of 100
so you can just divide both sides by 100, or take away the extra zero
let me know if you need further guidance ;)
I will give you branilest!
The EPA estimated that in 2013, the average amount of garbage produced in the United States was 4.4 pounds per person per day. At that rate, how long would it take YOUR family to produce a ton of garbage? (A ton is 2,000 pounds.)
Answers
hope this helped
For each heart there are 2 stars. Which model shows this relationship? I NEED HELPPP ILL MAKE U THE BRIAN THINFG
Answers
Answer:
D
Step-by-step explanation:
Just came from the quiz
what is polar form in maths term ??
Answers
Answer:
The polar form of a complex number is another way to represent a complex number. The form z=a+bi is called the rectangular coordinate form of a complex number. The horizontal axis is the real axis and the vertical axis is the imaginary axis.
Simplify (6 with an exponent of 7) and a exponent of 3
Answers
Answer:
6 to the 21st power
Step-by-step explanation:
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answers
Answer:
4+(9*6)^2-1
Step-by-step explanation:
3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circuits. Ten wafers were tested, and the following photoresist thickness measurements (in angstroms x 1,000) were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. a. Test the hypothesis that mean thickness is 13.4 x 1,000 A. Use a = 0.05 and assume a two-sided alternative. b. Find a 99% two-sided confidence interval on mean photoresist thickness. Assume that thickness is normally distributed.
Answers
Answer:
a
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
The null hypothesis is rejected
b
The 99% confidence level is [tex]13.3930 < \mu < 13.3994 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is [tex]\mu = 13.4 000 \ angstroms[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample data is
13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}[/tex]
=> [tex]\= x = 13.3962 [/tex]
Generally the sample standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }[/tex]
=> [tex]\sigma =0.0039 [/tex]
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }[/tex]
=> [tex]z = 3.08[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2P( z > 3.08)[/tex]
From the z-table [tex]P(z > 3.08)= 0.001035[/tex]
So
[tex]p-value = 2* 0.001035[/tex]
[tex]p-value = 0.00207[/tex]
So from the obtained value we see that
[tex]p-value < \alpha[/tex]
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 -99)\%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{0.0039}{\sqrt{10} }[/tex]
=> [tex]E = 0.00318[/tex]
Generally the 99% confidence interval is mathematically represented as
[tex]13.3962 - 0.00318 < \mu < 13.3962 + 0.00318 [/tex]
=> [tex]13.3930 < \mu < 13.3994 [/tex]
If : f(x): m, x + 3 0
- 2x +12. 5< X < infinity
What must the value of m, be so that the
two pieces of this piecewise function intersect
the same point ?
A. m, = -5
B. m, = -1/5
C. m, = 2
D. m, = 5
Answers
Answer:
.
Step-by-step explanation:
evaluate 23.98-1.7 to the power of 2 ⋅7.6
Answers
Answer:
160.284
Step-by-step explanation:
Round 683,492 to the nearest hundred thousand.
Answers
Answer:
700,000
Step-by-step explanation:
you need to look at the ten thousands and look at the number if it is past 5 you round up.
I scored 32 more points in my second unit test and I did it on my first my total points for both test were 164 what did I score on my two test
Answers
a = 66 points (first test)
b = 98 (second test)
Step-by-step explanation:Hi there !
a = first test
b = second test
a + b = 164
b = a + 32
replace b
a + (a + 32) = 164
2a = 164 - 32
2a = 132
a = 132 ; 2
a = 66 points (first test)
b = 66 + 32
b = 98 (second test)
Good luck !
Solve for x and explain how you use inverse operations to find your answer:
8x=2
Answers
1. Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $400 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
(a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart?
(b) If a gallon of paint costs $7.96, what is the cost of the 3 gallons of paint in the cart?
(c) If a lamp shade costs $14.99, what is the cost of the 3 lamp shades in the cart?
(d) Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $400.
Answers
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
What are the possible rational roots of the polynomial equation?
0=2x9−3x7+11x+10
Answers
Answer:
+-1, +-2,+-5, +-10
Step-by-step explanation:
you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.
The possible rational roots of the polynomial equation
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
Given :
The polynomial equation is
[tex]2x^{9}-3x^{7}+11x+10=0[/tex]
To find out possible rational roots, we use rational root theorem
Rational root of the form
[tex]\frac{p}{q}[/tex] where p is the constant and q is the leading coefficient
p=10 and q=2
Lets write all the factors of 10 and 2
Factors of 10 are 1,2,5,10
factor of 2 are 1,2
Rational root of the form
[tex]+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}[/tex]
We consider both positive and negative factors. Ignore the repeated roots
So possible rational roots are
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
Learn more : brainly.com/question/13211306
