Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2
Answers
Answer:
Function B
Step-by-step explanation:
✍️Rate of change for Function A:
Using any two pairs from the table of values given, say, (0, 1) and (4, 2):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]
Rate of change for function A = ¼ = 0.25
✍️Rate of change for Function B:
Equation for Function B is given in the slope-intercept format, y = mx + b.
m = slope = rate of change.
Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.
Rate of change of Function B = 0.75.
✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.
The function which has a greater rate of change or slope is required.
Function B has a greater rate of change.
Rate of change is given by
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
The ordered pairs for the first function are
[tex](0,1),(4,2),(8,3),(12,4)[/tex]
Slope
[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]
Since, it is a linear equation the slope will be equal for all ordered pairs.
The point slope form of a line is
[tex]y=mx+c[/tex]
where
m = Slope or rate of change
c = y intercept
Here, the equation is
[tex]y=0.75x-2[/tex]
The slope is 0.75.
Function B has a greater rate of change.
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Related Questions
Will give brainliest to right answer!!!
Answers
Answer:
f = 2
Step-by-step explanation:
Hope this helps you! :3
Answer:
f = 2
Step-by-step explanation:
2+1.25f = 10 - 2.75f
Add 2.75f to both sides
2 + 4f = 10
Subtract 2 on both sides
4f = 8
Divide by 4 on both sides to isolate the variable f
f = 8/4
f = 2
HELP
What is the measure of an exterior angle of a regular 45-gon?
Answers
Answer:Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .
Step-by-step explanation: hope this helps ;)
Answer:
8
Step-by-step explanation:
Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.
Answers
Answer:
P=x(-x+90)Step-by-step explanation:
Step one:
given
Price
[tex]P= -20x^2+1800x[/tex]
where P is the maximum profit
x is the price of one shirt
Step two:
To rewrite the expression let us first divide through by 20
[tex]P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x[/tex]
Factoring x out we have
[tex]P=-x^2+90x\\\\P=x(-x+90)[/tex]
Hence the rewritten expression equation for the price is
P=x(-x+90)
6- 4(2r - 5) < 26 - 8r
This is algebra
Answers
Answer:
r>1
Step-by-step explanation:
6-4(2r-5)<26-8r do () first
6-8r+20<26-8r subtract 6 from both sides
-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0
The sum of two consecutive integers is two more than the third integer. Find the integers
Answers
Answer:
3, 4, 5Step-by-step explanation:
x - the first integer
x+1 - the next integer consecutive to x (the second consecutive integer)
x + x+1 - the sum of two consecutive integers
x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)
x+2 + 2 - two more than the third integer
x + x+1 = x+2 + 2
2x + 1 = x + 4
x + 1 = 4
x = 3
x+1 = 3+1 = 4
x+2 = 3+2 = 5
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.
O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS
Answers
Answer: HL, SAS, LL, SSS
Step-by-step explanation:
its that easy
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Options A, B, C, and F are the correct answer.
What is triangle congruency?
There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
LL congruency
Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.
HL congruency
If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).
Now,
The two triangles are right triangles.
So,
From the definition of congruency, we can say,
ΔJKL and ΔQRS are congruent by:
HL, SAS, SSS, and LL.
Thus,
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
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110=-8(2x+9)-3 this is urgent HELP
Answers
Answer:
∴x=-11.5625
Step-by-step explanation:
110 = -8 (2x+9 ) -3
110 = -16x - 72 -3
185 = -16x
∴x=-11.5625
What is 6000 times 8000 plus 3000-20
Answers
Answer:
48,002,980
Step-by-step explanation:
Have a good day
Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?
Answers
Answer:
y = - [tex]\frac{3}{5}[/tex] x + 1
Step-by-step explanation:
Parallel lines have equal slopes
Calculate m of CD using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)
m = [tex]\frac{-2-4}{7+3}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex] , thus
y = - [tex]\frac{3}{5}[/tex] x + 1 ← is parallel to CD
hii this is geometry please help!!
Answers
Answer:
40
Step-by-step explanation:
The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40
Help I mark brainliest
Answers
Answer:
[tex]-\frac{1}{5} t^{15}[/tex]
Step-by-step explanation:
sry if im wrong
Is y=-x proportional?
Answers
Answer:
Yea
Step-by-step explanation:
20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
Find the amplitude, the EoA=y, the period, and the phase shift in terms of cosine for this graph.
Answers
Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
--------------------------------------------------
You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
Someone plz help. I added a screenshot shot below
Answers
Answer:
Juan's Plan
y = .25x+12.95
where y is cost and x is minutes
Tiffany's Plan
y = .15x+14.95
where y is cost and x is minutes
...
Set the cost equal and find where x is the same for both.
.25x+12.95 = .15x+14.95
Group x variables to one side of the equation
.25x + 12.95 - 12.95 - .15x = .15x - .15x + 14.95 - 12.95
.25x - .15x = 14.95 - 12.95
.1x = 2
x=20 minutes
How many solutions does r > 5 have?
Answers
Answer: It can have infinite
Step-by-step explanation:
because numbers never finish
which expression can be an integer when simplified? i will give so many points and brainliest plz answer!
a.6^-3/6^-1
B. 12^-2/12^2
C. 2^-10 x 2^3
D. 4^7 X 4^-2
Answers
Answer:
D
Step-by-step explanation:
when simplify 4^7, using a calculator, you get 16384. When you simplify 4^-2 , you get 0.0625. When multiplied together, the total is 1024, which is an integer. Answer a, b, and c were not integers, because when multiplied or divided, the answer was less than zero and showed up as a decimal starting with 0.*** . An integer is defined as any whole number, and not a fraction, therefor D is the only correct answer.
Answer:
D fs
Step-by-step explanation:
3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E
Answers
Answer:
33.37
Step-by-step explanation:
Answer:
Nicole has $33.37 left
Step-by-step explanation:
($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37
Anyone know how to do this, I’m lost!
Answers
Total angle degree for a parallelogram is 360 degrees
The angles added up is 6x
So 6x=360
X=60
The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.
Now you have been found !
What’s the algebraic expressions of (7+10x)+3
Answers
If you have a square with a perimeter of 18 inches, what is the area of the square after
scaling it by 7? Round to the nearest tenth is needed.
Answers
Answer:
992.3 in^2 to the nearest tenth.
Step-by-step explanation:
The new perimeter will be 7*18 = 126 inches.
So the side of the new square will be 126/4 = 31.5 inches,
and it's area = 31,5^2
= 992.25
WHAT IS 817373763647837466367828390487273839288738939393872803928 Factorial
I WILL GIVE BRANLIST.
Answers
Answer: No one will ever know that
Step-by-step explanation:
Seriously even Google doesn’t know it
-9 more than a number results in -20
Answers
Answer:
-11
Step-by-step explanation:
-20-(-9)= -11
what is the value of K?
Answers
Answer: its A
Step-by-step explanation:
Because
solve for w and simplify the answer
Answers
Answer: w=20/3
Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.
Write the equation of the line that passes through the points (-6, -9) and
(7,7). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answers
Answer:
y - 7 = 16/13(x - 7)
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Point (-6, -9)
Point (7, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7+9}{7+6}[/tex]Add: [tex]m=\frac{16}{13}[/tex]Step 3: Write equation
y - 7 = 16/13(x - 7)
a department store credit card advertises no payments for 2 years on purchases what they do not advertise is the interest is compounded continuously for those two years at an annual rate of 19.7 %if you make a purchase for 550 and make no payments for 2 years how much would you owe at the end of those two years
Answers
Answer:
o very easy hahaha I should tell step by step or shortcut
question in the picture!
looking for the answer of 1) by the way! :))
Answers
Need Help with Polynomials
Tell Whether each expression is Polynomial
1. -45
2. 2/x
3. 5 + 3x^2
4. 8 + y
5 2x^2 + xy + y^3
6. 3a^3 - 4a^2 - 5
7. x^2/12
8. -m^2 - 4m + 9
9. 9a^5b^4 + 3a^3b^2 + 8
10. 14a^2b^3c^3d^4
11. 8x^3 - 5x^2 + 3
12. 15/x^2 + 3x
13. -10a^2b^7 + 3c
14. 2m^3 - 2m + 3
15. x^3 + 3y^3 + z^3
Answers
Answer:
1. yes all yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
to be honest there is a handbook you can look at for the anwsers its a student handbook
ellie is preheating her oven before using it to bake. the initial temperature of the oven is 65° and the temperature will increase the rate of 10° per minute after being turned on what is the temperature of the oven six minutes after being turned on what is the temperature of the oven t minutes after being turned on
Answers
Answer:
The temperature six minutes after being turned on is 125°.
T(t)= 65° + t * 10°
Step-by-step explanation:
Linear Equations
Ellie sets the temperature of the oven to 65°. The oven will increase the temperature at 10° per minute after being turned on.
After the first minute, the temperature of the oven is
65° + 10° = 75°
After the second minute, the temperature is:
65° + 2*10° = 65° + 20° = 85°
The same pattern goes on after minute 6, where the temperature is:
65° + 6*10° = 65° + 60° = 125°
The temperature six minutes after being turned on is 125°.
The general formula can be deducted for any time t as:
T(t)= 65° + t * 10°
im doing an escape do you think you can help me with the riddle? Who Am I?
I am a member of the Patuxet tribe. I taught the English settlers how to survive the harsh American wilderness. It helped that I spoke the English language. So, I could act as an interpreter between the pilgrims and the native americans. My people taught them how to find medicinal plants, build wigwams, and use fish for fertilizer. Most people know me by ______, but I am also known as Tisquantum.
Answers
Answer:
Squanto
Step-by-step explanation:
They were known as Tisquantum, and knew how to speak English. They were essentially the translator between the native americans and the English