Answers
Answer:
Graph included as picture
Step-by-step explanation:
To solve this, plot the given points on the graph
Draw a line through them.
Now select two of those values and we'll find the rate of change.
We'll be using (1,-1) and (3,3)
To find rate of change we will be using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1[/tex]
[tex]\frac{3-(-1)}{3-1} = \frac{4}{2} = 2[/tex]
So the rate of change is 2
You will use this rate of change for your other function because they both have the same rate of change
Since we have the rate of change, we can create the slope intercept form formula: y = mx +b
Just substitute for the variables we know
m = rate of change/slope = 2
b = y-intercept = -3
y = 2x + -3
[If you connected all the points in your graph, that's how you found the y-intercept]
Now we have to create the formula for the second function.
We know it will have that same slope of 2
so we have y = 2x + b
To solve for b we can plug in the values we do have which would be (x,y) of (3,6)
6 = 2(3) + b
Now solve
6 = 6 + b
6 (-6) = 6 (-6) + b
0 = b
b = 0
This mean that the y-intercept will be on (0,0)
Plot that point
Now we finish the formula
y = 2x + 0
Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!
I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!
Related Questions
95 - 3/4 what is the value of the expression
Answers
Answer:377 /4 = 94 and 1 / 4 =94.25
Step-by-step explanation:
Subtract
95 − 3 /4
= 377 / 4
Convert integer to fraction
95 = 95 / 1
Find common denominator
95 over 1
− 3 over 4
= ( 95 × 4 ) over ( 1 × 4 )
− ( 3 × 1 ) over ( 4 × 1 )
= 380 over 4
− 3 over 4
4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.
Subtract
380 over 4
− 3 / 4
= ( 380 − 3 ) / 4
= 377 /4
Simplify
377 / 4
= 94 and 1 /494
Reduce fraction to lowest terms
1 is the greatest common divisor of 377 and 4. The result can't be further reduced.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
377 /4
= 94 1 /4
377 ÷ 4 = 94 remainder 1
By writing the whole number as a fraction, we will see that the solution is 377/4
How to solve the expression?
Here we want to take the difference between a whole number and a fraction:
95 - 3/4
To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:
95 = (4/4)*95 = 380/4
Now we rewrite our expression as:
95 - 3/4 = 380/4 - 3/4 = 377/4
This is the solution of the expression.
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
i need help plz :( i don’t understand
Answers
ONCE AGAIN, HELP MEEEEEEE UDIHTJGAJHDAKMDHJ
(i am not the brightest lol)
Answers
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answers
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
Answers
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answers
Answer:
y= -4x
Step-by-step explanation:
Use the Quadratic Formula
Use the Quadratic Formula to find the zeros of the given
expression. Be sure to show your steps!
2x2-7x+3
Plz help no links
Answers
Answer:
1/2 and 3
Step-by-step explanation:
The quadratic formula is as given:
( -b±√(b^2-4ac) )/2a
To use it, plug in the a,b and c values.
ax^2+bx+c
In this case a is equal to 2, b is equal to -7, and c is equal to 3
plugging it into our formula gives us:
(-(-7)±√(-7^2-4*2*3) )/2*2
Which is equal to:
7±√(49-24) / 4
= 7±√25 / 4
=7±5 / 4
=2/4, 12/4= 1/2, 3
The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?
Answers
Answer:
35 inches
L×W=A
length×width=area
Answer:
35
Step-by-step explanation:
A = wl
7 x 5 = 35
Mark as Brainliest
help me plzz please please please
Answers
Answer:
Q1: 18 degrees
Q2: 60 sides
Step-by-step explanation:
The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.
360/20 --> 18 degrees.
Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.
(n-2) * 180 degrees) / n = Angle Given
(n-2) * 180 degrees) / n = 174
180n -360 / n = 174
180n -360 / 174n
360 = 6n
n = 60
It would be 60 sides.
FREEEE POINTS REALLY
Answers
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answers
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
PLEASE HELP NOT WILL HELP ME :,(
I'll make brainliest and give extra points
The following cone has a height of 4 inches and a volume of 12π. 4 in. What is the radius of the cone?
Answers
Answer:
3 in.
Step-by-step explanation:
volume = ⅓πr²h
⅓πr²h=12π
r²h=36
r²=9
r = 3 inches
HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
k=5
Step-by-step explanation:
[tex]f(x)=x^2-6x+14[/tex]
[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]
[tex]f(x)-5=x^2-6x+9[/tex]
[tex]f(x)-5=(x-3)^2[/tex]
[tex]f(x)=(x-3)^2+5[/tex]
[tex]k=5[/tex]
pls read and help me
given conversion factor 12in/1ft what is the above line segments unit of measure in inches round your answer to the nearest tenth
Answers
Answer:The correct answer is 75.6
Step-by-step explanation:
because i took the quiz myself
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answers
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
May I have help to figure out how to do this? It is confusing! :(
Answers
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answers
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answers
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
A storage bin is a rectangular prism that measuring 114 cm long by 56 cm high by
56 cm deep. What is the surface area of the exterior, in square feet?
Answers
Answer:
33.12 square feet
Step-by-step explanation:
Step 1
We convert the dimensions to feet
1 cm = 0.0328084 feet
Length = 114cm
Hence
114 cm = 114 × 0.0328084 feet
= 3.74016 feet
≈ 3.7 feet
Height = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Depth(width) = 56cm
Hence
56 cm = 56 × 0.0328084 feet
= 1.83727 feet
≈ 1.8 feet
Step 2
The surface area of the rectangular prism
A=2(wl+hl+hw)
=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)
≈33.12 square feet
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
Answers
explanation:
100-32=68
14.5(.68)
Which of these tables represents a linear function?
Answers
Answer:
Second.
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Does anyone know what the answer to this would be?
Answers
Step by step: Diagnols in a rhombus bisect the angles meaning 2x=22, to solve this we do 22/2=11.
Hope this helps!
Answer:
D
Step-by-step explanation:
Is 1/4 squared a rational?
Answers
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
Please a correct answer gets brain thing that I forgot it name please help
Answers
Answer:
;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN
Step-by-step explanation:
Please help me with full calculations
Answers
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answers
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Someone please help me!!!
Answers
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
Answers
Which one is an example of an expression?
Answers
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer