Complete the slope-intercept form of the linear equation that represents the relationship in the table
Answers
Answer:
y = 3x - 4
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" is the slope and "b" is the y-intercept.
(Step 1)
Before you can determine this equation, you need to find the value of "m". Since you were given the value of two points, you can find this by using the point-slope form. The general structure of the point-slope equation is:
y₁ - y₂ = m(x₁ - x₂)
y₁ - y₂ = m(x₁ - x₂) <---- Point-slope equation
-1 - 8 = m(1 - 4) <---- Insert "x" and "y" values from table
-9 = m(1-4) <---- Simplify left side
-9 = -3m <---- Simplify inside parentheses
3 = m <---- Divide both sides by -3
(Step 2)
Now that you know "m", you can plug it and the "x" and "y" values of one point into the slope-intercept equation to find the value of "b".
y = mx + b <---- Slope-intercept equation
y = 3x + b <---- Plug 3 into "m"
-1 = 3(1) + b <---- Plug "x" and "y" values in
-1 = 3 + b <---- Multiply 3 and 1
-4 = b <---- Subtract 3 from both sides
(Step 3)
Now that you know that m = 3 and b = -4, you can substitute these values into the slope-intercept form to find your final answer. You can check your answer by plugging the "x" values from the table into the equation to verify that you get the correct "y" values.
y = 3x - 4
Related Questions
PLEASE HELP ILL MAKE YOU THE BRAINIEST
write the ratio for sin A
Answers
Sin(A)= 8/17
Answer:
In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
f(x) = x+3
g(x)=2x² - 4
Find (f g)(x)..
OA. (f.g)(x) = 2x³ - 12
B. (f g)(x) = 2x³ + 12
c. (f.g)(x) = 2x³ + 6x² - 4x-12
OD. (f.g)(x) = 2x³ + 6x² + 4x+12
Answers
Answer:
I got 2x^3+3x^2-4x-12
Step-by-step explanation:
I hope this helps a little bit
what is the slope of the line graphed below?
Answers
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
mplete the solution of the equation. Find the
ue of y when x equals 0.
- 3x + 2y = -4
Enter the correct answer.
18
DONE
all
000
+?
Answers
Answer:
-2
Step-by-step explanation:
If x=0
-3(0)+2y=-4
-0+2y=-4
We can say
2y-0=-4
2y=-4
Dividing both side by 2,
y=-2
ANSWER PLS!!!!!!!!! with exact explanation. not just only the answer
Answers
Answer:
12,500,000
Step-by-step explanation:
2^5 = 2×2×2×2×2 = 32
5^8 = 5×5×5×5×5×5×5×5 = 390625
32×390625 = 12,500,000
Hope you understood and brainliest please
Please help me with this question!
Answers
The steps are shown on the screenshots as well.
The trig ratios used were sine and tangent
sine = opposite/hypotenuse = opp/hyptangent = opposite/adjacent = opp/adjMake sure your calculator is in degree mode.
f (10) = 10/2 = 5 . how to solve this problem
Answers
Answer:
f(10) means to input x = 10 into the function.
From inspection of the given function:
[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]
the "10" is the numerator of the fraction.
Therefore, swap the "10" for "x" to give the function in terms of x:
[tex]\sf f(x)=\dfrac{x}{2}[/tex]
For a function
f(x)=yx is the input or domain
y is the output or range
Here
f(10)=10/2So
x=10
y=10/2
Hence the function is
f(x)=x/2Which solids have a round base? Select two options.
cone
cone
cylinder
cylinder
pyramid
pyramid
sphere
sphere
cube
Answers
guys please help me outttt
Answers
ANSWER :-
There are total 8 types of pets represented by the dot plot . They are :
2 rabbit6 dog3 cat2 horse5 bird1 mouse3 fish1 otherWhich pet is the most popular ?ANSWER :-
Dog is the most popular pet
HOPE THIS HELPS :)Step-by-step explanation :
Liza's classmates have owned two rabbits , six dogs , three cats , two horses , five birds , one mouse , three fishes and one other pet.
Therefore,
There are 8 type of pets owned by dot plot.Now, we can easily count or see the pet which is in larger quantity as compared to others.
So the most popular pet owned is dog.
PLS HELP!!! 80PTS PHOTO ATTACHED
Answers
The answer is no solution.
Find p.
30°
O
60°
7 in
Answers
Answer:
p = 14 inches
Step-by-step explanation:
using either the sine or cosine ratios
using the sine ratio and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{p}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
p = 14
Please help me identify the graph
Answers
Answer: F
Step-by-step explanation:
We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.
This eliminates D and E.Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]
The answer that best matches this is F
Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
student in my class?
in my class?
How many servings of fruit did
I eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?
Answers
Answer:
Which questions are statistical questions?
what is the number of students what is the height of each in my class?
how many servings of fruit did eat each day this month?
what is my height?
what is the highest temprature
of each month this year?
how many students from each school in this city love football?
Step-by-step explanation:
Need to include numerical values
hope this helps!
Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS
Answers
Find the slope of the line passing through the points -2,7 and -6,3
Answers
Answer: the slope is 1
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 7-3 / -2+6
m = 4/4
m=1
Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.
Answers
Answer:
second option
Step-by-step explanation:
5 newton pushing it to the right
while a mere 4 newton pushing it to the left
more force pushing towards right
This would be the answer because there are 5 newtons forcing the given object to the right while there are 4 newtons forcing the object to the left. Because 5 is greater than 4, the object would accelerate to the right in this model with 1 newton more of force than it would to the left.
1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m
Answers
The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
SolutionNote that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
Learn more about Adjacent angles at:
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The radius of a cylinder is $5/6$ its height. find the total surface area of the cylinder if its volume is $150\pi.$
Answers
Answer:
Total surface Area =1135.34 to 2.d.p
Step-by-step explanation:
all trigonomic equations are identities true or false
Answers
Answer:
False
Step-by-step explanation:
because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.
The statement "all trigonometric equations are identities" is false.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.
On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.
Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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Can someone pls help me with this? I will mark someone who does it for me pls.
Answers
Answer:
si quroma mande' cromo jajaja
Step-by-step explanation:
B= 9 feet (3•3)
C= 6 feet (3•2)
D= 9 feet (3•3)
E= 6 feet (3•2)
F= 6 feet (3•2)
Total= 42 square ft
A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is
Answers
well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.
[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]
A school has 600 pupils. 1/5are in the upper school, 1/4 in the middle school and the remainder in the lower school. How many pupils are in the lower school?
Answers
Answer: 330 pupils
Step-by-step explanation:
the number of pupils are in the lower school
= (1- 1/5 - ¼) × 600
= (20/20 - 4/20 - 5/20)×600
= (11/20) ×600
= 330 pupils
the diameter of a cone is 15 meters, the height is 1.5 times the radius, what is the volume?
Answers
Answer:
V ≈ 662.68
Step-by-step explanation:
15 div by 2 = 7.5 (Radius)
7.5 x 1.5 = 11.25 (height)
Pi x 7.5^2 x 11.25/3
= 662.68
If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
What are trigonometric functions?Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
Learn more about trigonometric functions: brainly.com/question/24349828
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Karen pays $487.56 for a company luncheon. This included a 16% gratuity. Karen needs to report the cost of the lunch without the gratuity to receive a reimbursement from her manager. How much was the cost of the luncheon without the gratuity?
(Please show how to solve it)
Answers
Answer: $409.55
Step-by-step explanation:
100% - 16% = 84%
84% of 487.56 = 409.5504.
Round to nearest hundredth.
$409.55
Change each value of the quadratic equation. How does it change the graph?
Answers
Answer:
ty for points bye bye ok bye
Answer with an algebraic equation too!!
Four years from now the combined ages of a set of twins will be 50. How old are they now?
Answers
Answer:
The twins are 21 years old right now.
(x+4) + (x+4) = 50
Step-by-step explanation:
Let x = the current age of one of the twins.
They are twins, that means they are the same age. So the other twin is also x years old.
In four years, the age will be x+4.
Both of them together will be:
(x+4) + (x+4)
The question says that total (of their ages in 4 years) will be 50.
(x+4) + (x+4) = 50
Combine like terms.
2x + 8 = 50
Subtract 8.
2x = 42
Divide by 2.
x = 21
The twins are currently 21.
To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!
if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw
Answers
Answer:
what comprise horn of africa
Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
Answers
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
Read more about Withholding taxes at; https://brainly.com/question/25783927
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fashoo G-looks brosay
Answers
Answer:
what are you talkin bout fam? you speakin gibberish rn
Step-by-step explanation: