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!
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
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
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
Please a correct answer gets brain thing that I forgot it name please help
Answer:
;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN
Step-by-step explanation:
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? ?
Please help me with full calculations
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
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!
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.
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
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.
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Someone please help me!!!
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.
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
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?
Answer:
35 inches
L×W=A
length×width=area
Answer:
35
Step-by-step explanation:
A = wl
7 x 5 = 35
Mark as Brainliest
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
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?
HELPPPPPPPPPPPPPPPPPPPPPPP
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]
Which of these tables represents a linear function?
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.
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y= -4x
Step-by-step explanation:
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?
Answer:
3 in.
Step-by-step explanation:
volume = ⅓πr²h
⅓πr²h=12π
r²h=36
r²=9
r = 3 inches
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
Answer:The correct answer is 75.6
Step-by-step explanation:
because i took the quiz myself
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
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
95 - 3/4 what is the value of the expression
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
ONCE AGAIN, HELP MEEEEEEE UDIHTJGAJHDAKMDHJ
(i am not the brightest lol)
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?
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]
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
help me plzz please please please
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.
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! :)
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!
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?
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
i need help plz :( i don’t understand