Answers
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Related Questions
what is a ratio comparing two different units.
Answers
Answer:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.
Step-by-step explanation:
Your welcome
A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Answers
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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In a class of 38. Student, 15 play bockey and twice is mang play basketball Each student in the class Plays either backey or basketball
Answers
ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.
Answers
Answer: 48oz = $1.68, 32oz = $0.80
Step-by-step explanation:
Let A be the price of the 48oz bottle and B the price for the 32oz bottle.
We are told that:
A = B + $0.88
------
The unit price is defined as the $ per oz.
Let Au be the unit price for the 48oz size, and
Bu is the unit price for the 32oz size.
[This means that Au*(48) = A and Bu*(32) = B]
We are told that:
Bu + $0.01 = Au
=======
Find the cost of each.
A = B + $0.88
Au*(48) = Bu*(32) + $0.88
Substitute (Bu + $0.01) for Au
(Bu + $0.01)*(48) = Bu*(32) + $0.88
(48Bu + $0.48) = Bu*(32) + $0.88
16Bu + $0.48 = $0.88
16Bu = $0.40
Bu = $0.025
The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle
B = $0.80
Since A = B + $0.88
A = $0.80 + $0.88
A = $1.68
The unit prices of 48-oz bottle and 32-oz bottle are $0.0183 and $0.01.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given, 48-oz bottle is $0.88 more than the 32-oz bottle.
That means,
0.88 > 32 x ( 0.01)
0.88 > 0.32
And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.
Unit price of 48-oz bottle,
= 0.88 / 48
= 0.0183
Unit price of the 48-oz bottle is $0.0183.
Therefore, $0.0183 and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.
To learn more about the division;
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Y intercept
X intercept
Answers
Answer:
The Y intercept is -10
The X intercept is 3
The perimeter of a triangle is 7a-11b . If two of its sides are 2a+b and a-9b, what is the third side?
Answers
Answer:
4a plus or minus 1b
Step-by-step explanation:
The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Answers
Answer:
The answer is 144 feet and it will be in the air for 6 sec
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Like and give 5 star rating
what is 4 - (-10) equal too? explain in your own words and why so
Answers
Answer:
14
Step-by-step explanation:
When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14
Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.
Answers
Constant speed means no acceleration so this formula can be used
The question says THIS constant speed so I’m assuming in an earlier part of the question you are told the speed at which it cruises.
Therefore,
Using the speed given
Speed divided by 6380km =time
use the confidence interval to find the margin of error in the sample mean (13,23)
Answers
Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.
Answers
Answer: 150,000 x3=450000 and 40,000-25,000=65000
65,000+450,000=515000 thats your answer
Step-by-step explanation:
Find two positive numbers whose difference is 13 and whose product is 230
Answers
Answer:
23 and 10
Step-by-step explanation:
23 - 10 = 13
23 * 10 = 230
Answer:
10 and 23
Step-by-step explanation:
explain the difference between an indefinite integral and a definite integral.
Answers
Answer:
A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).
Step-by-step explanation:
3 yards of ribbon for 1.50 how much yard would 5 yards be
Answers
because 1.50/3 is 0.50 and 0.50x5 equals to 2.50
Answer:
1. divide 1.50 by 3 to get the unit cost of a yard
of ribbon. the ansvwer is .75.
2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons
Step-by-step explanation:
final answer $30
PLEASE HELPPPPPPP
The maimum or minimum is also called the extreme value of the equation. What are the coordinates of the extreme value on your graph. use the pointer tool of needed.
I attached the graph to the question.
Answers
Answer:
the answer would be 1,-8
Given: p-q= pq/2.Express p in terms of q.
Answers
Here is ur perfect answer
Answer:
p = [tex]\frac{2q}{2-q}[/tex]
Step-by-step explanation:
p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2(p - q) = pq ← distribute parenthesis on left side
2p - 2q = pq ( subtract pq from both sides )
2p - pq - 2q = 0 ( add 2q to both sides )
2p - pq = 2q ← factor out p from each term on left side
p(2 - q) = 2q ← divide both sides by (2 - q)
p = [tex]\frac{2q}{2-q}[/tex]
Alex laughed, "You're always studying, Dave." This line from the story is an example of: *
symbolism
indirect characterization
sensory details
direct characterization
Answers
Find the perimeter. Simplify the answer.
Answers
Answer:
21u-26
Step-by-step explanation:
add all the side lengths together: 7u + 3u -10 + 6u - 8 + 5u - 8 = (7 + 3 + 6 + 5)u + (-10 -8 -8) = 21u - 26
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answers
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
©
Make x the subject of the formula
y = mx – C
Answers
Answer:
x = [tex]\frac{y+c}{m}[/tex]
Step-by-step explanation:
Making it the subject means "setting the equation equal to it"
y = mx – C
y + c = mx
[tex]\frac{y+c}{m}[/tex] = x
x = [tex]\frac{y+c}{m}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
Step-by-step explanation:
help meeeeeeeeeeeeeee i wll give brainly ponits
Answers
<ABC = [ 52° ]
not sure but
hope it helps!
Answer:
[tex] \: [/tex]
∆ ABC → 132 °
Step-by-step explanation:
Given : ∠DBC = 48°
Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘
Therefore,
∠ABC + ∠DBC = 180°
∠ABC + 48 ° = 180° [ ∠DBC = 48° ]
∠ABC = 180° - 48°
∠ABC = 132°
Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?
Answers
42 kilometers
Will give brainly if correct
Answers
Find the values of a and b. The diagram is not drawn to scale.
Answers
Answer:
36
Step-by-step explanation:
Same side
Answer:
a = 144°, b = 67°Step-by-step explanation:
a is supplementary with 36 and b is supplementary with 113. Same side interior angles.
Supplementary angles sum to 180°
a = 180 - 36 = 144b = 180 - 113 = 6716+4(q+11)+10q
simpaly
Answers
Answer:
14q + 60
............................
Explanation: you have to distribute the 4 to the q and 11 which will then get u 16 + 4q + 44 + 10q then you would add 4q and 10q which would get you 14q and then add 16 + 44 and that would get you 60 so your answer would be 14q+60
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Answer:
Question=Q
Q8=60.1
Q9=
Please help me solve this.
Answers
Answer:
63
Step-by-step explanation:
Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answers
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray
Answers
Answer:
24.
Step-by-step explanation:
The diameter of the glass = 3*2 = 6.
So 36/6 = 6 glasses can be fitted along the length,
- and 24/6 = 4 can be fitted along the width of the tray.
So the number of glass that can fit on the tray = 6*4 = 24.
If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None
Answers
Answer:
O B. Exactly one
Step-by-step explanation:
The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather