Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Question 1)
Input, x Output, y
0 0
1 4
2 8
3 12
It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.
Finding the slope between (0, 0) and (1, 2)
slope = m = y₂-y₁ / x₂-x₁
= (2-0) / (1-0)
= 2 / 1
= 2
Thus, the slope = m = 2
We know that the y-intercept can be obtained by setting x = 0 and solving for y.
It is clear at x = 0, y = 0
Thus, the y-intercept b = 0
We know that the slope-intercept form of linear equation
y = mx+b
substitute m = 2 and b = 0
y = 2x + 0
y = 2x
Thus, the equation that describes the equation is:
y = 2x
Question 2)
The output is eleven more than the input.
As 'y' represents the output.
'x' represents the input.
so
y = x+11
Question 3)
The output is the cube of the input.
As 'y' represents the output.
'x' represents the input.
so
y = x³
Question 4)
The output is one more than twice the input.
As 'y' represents the output.
'x' represents the input.
so
y = 2x+1
Question 5)
y = 7x
substitute x = -5
y = 7(-5)
y = -35
Related Questions
Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.
Answers
Answer:
On a coordinate plane, a line has a negative slope
Step-by-step explanation:
If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.
Answer:
The correct answer is the last graph (C).
Step-by-step explanation:
edge 2020
Is this "2C4H10 + 13O2 → 8CO2 + 10H2O" balanced or no?
Answers
Yes, the reaction is balanced.
Among the reactants, we have
• 8 carbon
• 20 hydrogen
• 26 oxygen
and among the products,
• 8 carbon
• 16 + 10 = 26 oxygen
• 20 hydrogen
Answer:
Simple Answer... Yes it is balanced.
Which calculation will ALWAYS give a result greater than 1? A.8/9 × a number less than 1 B.1 2/5 − a fraction less than 25 C. 7 × a number less than 1 D.3/7 + a fraction less than 1/2
Answers
Answer: B.1 2/5 − a fraction less than 2/5
Step-by-step explanation:
Question was not formatted properly and in the proper format, the above is the answer.
1²/₅ - ²/₅ = 1
Any number therefore that is lower than ²/₅ will when subtracted from 1²/₅ give an answer greater than 1 because when ²/₅ was subtracted from 1²/₅, it gave 1 as an answer.
Tyler ate x fruit snacks, and Han ate less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
Answers
Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the rug?
Answers
Answer:
Step-by-step explanation:
Multiply the length by 2 so, 3 1/3 x 2 then subtract that answer from the area, and you have the width
The width of the rectangle given the area and length of the rectangular rug is 4 3/10 meters
Given:
Area of the rug = 7 1/6 square meters
Length of the rug = 3 1/3 meters
Area of a rectangle = Length × width
7 1/6 = 3 1/3 × w
43/6 = 10/3w
w = 43/6 ÷ 10/3
w = 43/6 × 3/10
w = (43 × 3) / (6 × 10)
w = 129/30
w = 4 9/30
= 4 3/10 meters
Therefore, the width of the rug is 4 3/10 meters
Learn more about area of a rectangle:
https://brainly.com/question/14137384
help find the value of x. please!
Answers
Answer:
c.4
Step-by-step explanation:
hope it helps ............
Determine the intercepts of the line.
Answers
y=(0,100)
hopefully this helps
Find c, given that a + 18.2, B = 62, and C =48. Round answer to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect
Answers
Answer:
[tex]c=14[/tex]
Step-by-step explanation:
a = 18.2
[tex]\angle B=62^{\circ}[/tex]
[tex]\angle C=48^{\circ}[/tex]
[tex]\angle A=180-(62+48)=70^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
[tex]\Rightarrow \dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\Rightarrow c=\dfrac{\sin C}{\sin A}a[/tex]
[tex]\Rightarrow c=\dfrac{\sin 48^{\circ}}{\sin 70^{\circ}}\times 18.2[/tex]
[tex]\Rightarrow c=14.4\approx 14[/tex]
[tex]\boldsymbol{\therefore c=14}[/tex].
find the measure of CDE
Answers
Step-by-step explanation:
Here,
CDE+27+103+50+35=360(BEING THE SUM OF PIE CHART
CDE+215=360
CDE=360-215
CDE=145
(i amnt sure about answer)
-1/4d-2/5d=39
Solve for d
Please explain I don’t understand
Answers
Given:
The equation is
[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]
To find:
The value of d.
Solution:
We have,
[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]
Taking LCM, we get
[tex]\dfrac{-5d-8d}{20}=39[/tex]
[tex]\dfrac{-13d}{20}=39[/tex]
Multiply both sides by 20.
[tex]-13d=39\times 20[/tex]
Divide both sides by -13.
[tex]d=\dfrac{39\times 20}{-13}[/tex]
[tex]d=-3\times 20[/tex]
[tex]d=-60[/tex]
Therefore, the value of d is -60.
What is the coefficient in the mathematical expression?
14+2.7x3
14
2.7x³
x³
2.7
Answers
Answer:
14
Step-by-step explanation:
The coefficient is the is the one by it's self with no variables or exponents
Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants in his garden.
The ratio of tomato plants to green bean plants is
A. the same or B. different for the two gardens.
Answers
Answer:
Its different.
Step-by-step explanation:
Henry's garden:
divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean
Simon's garden:
divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.
Ray estimates that it will cost $400,000 to send his daughter to a private college in 18 years. He currently has $90,000 to deposit in an account. What simple interest rate must his account have to reach a balance of $400,000 in 18 years?
Answers
Answer:
the interest rate must be 5.585%
Step-by-step explanation:
Lois is riding in the country. after riding her bike at a constant speed for 4 hours, she finds that she traveled a distance of 52 miles. Lois wants to know the rate, r, at which she was biking. Drag and drop these tiles to complete the equation Lois could use to determine the rate she was biking.
Answers
Answer:
13 mph
Step-by-step explanation:
When you divide 52 (total miles) by 4 (hours biked) you get 13 as your answer.
Help !!! ANYBODY PLEASE HELP IM BEGGING U
Answers
Answer:
Step-by-step explanation:
Blue- x+10y-10z
I WILL GIVE BRAINLIEST Help me please this assignment is due in 10 minutes “If a 40 gram serving of breakfast cereal is 30% sugar. How many grams of the breakfast cereal is in fact pure sugar?”
Answers
Answer:
28 grams are pure sugar
Step-by-step explanation:
40-30% would be 28 pure grams of sugar
What is the slope-intercept form of the equation of the line containing the point (-5, 1) and having the slope 7?
Answers
Answer:
69
Step-by-step explanation:
N
i
g
g
a
Answer:
y = 7x + 36
Step-by-step explanation: Slope intercept form is y = mx + b where your slope is m, your b is the y-intercept, and x and y are your plot points. To solve this you just plug in the numbers. We already know the slope is 7 so we have our m, now we plug in the coordinate (-5, 1) with -5 as x and 1 as y. Plug them in and now you have the equation 1 = 7(-5) + b. You want to solve for b. So you end up getting b= 36. Now you have your y intercept so your final equation is y = 7x + 36. Hope this helped!!
Use the graph to answer the question.
Rena's Money
Money Saved
YA
24
22
20
18
8 16-
2 14
12
10
B
6-
8 9 10
4 5
Weeks
Rena is saving money. She starts with $6. She saves the same amount each week. The graph shows how much money Rena has after 8
weeks.
Based on the graph, which statement is true?
O A At week 8. Rena had $30.
OC. Rena saves $1 each week.
OB. At week 9. Rena had $28
OD. Rena saves $2 each week.
Answers
Answer:
Step-by-step explanation:
The answer is D
help plssss 67*78(67+89)/5=?
ⁱ ⁿᵉᵉᵈ ʳᵉˡᵃᵗⁱᵒⁿˢʰⁱᵖ ᵃᵈᵛⁱᶜᵉ ʰᵉˡᵖ
Answers
Answer:
whats going on in the relationship?
Find the value of a.
Answers
Answer: 14
Step-by-step explanation: The perimeter is all of the side added together. When finding the perimeter of a rectangle the opposing sides have the same value. So the equation would be 2(12) + 2(a) = 52. 12 x 2 is 24. 52- 24 is 28 and youre left with 28 = 2(a). You divide each side by 2 and get 14 = a
The area of a rectangle with a length of 11 feet in 99 square feet. What is the width of the rectangle ?
HELP PLEASE I JUST NEED THIS LAST PROBLEM PLEASE
Answers
if im not wrong i think thats it
What is da answer my bruddas
Answers
Answer:
0.5
[tex]points \: of \: best \: fit \: are \\ (9, 5) \: and \: (1, 1) \\ slope = \frac{(1 - 5)}{(1 - 9)} \\ = \frac{ - 4}{ - 8} \\ = \frac{1}{2} \\ = 0.5[/tex]
Write an equation and then solve.
Answers
2x + 3x + 6 + 2x + 6 = 33
7x + 12 = 33
7x = 21, x = 3
Plug into the lines
Line AB = 2(3) = 6 inches
Line AC = 3(3+2)= 15 inches
Line BC = 2(3+3) = 12 inches
solve the proportion 10/4=15/x
Answers
The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7
Answers
Answer:
I pretty sure its C. OD-2) = 18
Step-by-step explanation:
Is y=-3.5x-10 proportional
Answers
Answer: =3.5x Slope:
3.5
y-intercept:
0
Step-by-step explanation:
y=-3.5x-10 is an inverse proportional.
Given that, the given equation is y= -3.5x-10.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Put x=0, 1, 2, 3, and 4 in the given equation.
When x=0
y=-10
When x=1
y=-3.5(1)-10
=-3.5-10
=-13.5
When x=2
y=-3.5(2)-10
=-7-10
=-17
When x=3
y=-3.5(3)-10
=-10.5-10
=-20.5
Here, x increases and y decreases, it is inverse proportionality
Therefore, y=-3.5x-10 is an inverse proportional.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ2
A football team won 8 games last year. This year, the team won 10 games. What was the percent increase in the number of games won?
Answers
Answer:
8
Step-by-step explanation:
8÷10×100
¤8<●♤547764323355
4. Find and compare the intercepts of the
functions.
Function A
Function B
4y + x = 12
Answers
Answer:
Function A intercept: 4
Function B intercept: 3
Step-by-step explanation:
Give two ways to write the expression "x + 7" as a phrase.
Answers
Answer:
The sum of x and seven, or x plus seven, or the product of x and seven.
Helpp I will mark brainliestttt
Answers
Answer:
25
Step-by-step explanation:
.45x25+10.00= 21.25
.65x25+5.00=21.25