Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the average rate of change of f(x) in the closed
interval [a, b] is
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
Given the interval [a, b] = [0, 4]
as
[tex]f(x)=2|x|[/tex]
[tex]f(b)=f(2)=2\cdot \:4[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 8[/tex]
[tex]f(x)=2|x|[/tex]
[tex]f(a)=f(0)=2\cdot \:0[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 0[/tex]
so the average rate of change :
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]
[tex]=\frac{8}{4}[/tex]
[tex]= 2[/tex]
We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.
Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
a.
$39,805
b.
$35,526
c.
$37,576
d.
$43,276
Answer:
C
Step-by-step explanation:
took test
help pls TNX............
Answer:
6
Step-by-step explanation:
A woman who is 6ft tall is standing next to a flagpole. The shadow of the woman is 3.5ft and the shadow of the flagpole is 17.5ft. what is the is the height of the flagpole
Answer:
30 feet tall
Step-by-step explanation:
The woman is 6 feet tall and her shadow is 3.5 feet tall, as is the flagpole's shadow is 17.5 feet tall making the flagpole 30 feet tall.
Equation: 6/3.5 = 1.74 x 17.5 = 30
I hope this helps.
Good luck!
(I rounded the 1.74 to two places)
Step-by-step explanation: Because i checked google :)
The value of the function f (x) is 15/2 when x = -5 and is -73/2 when x = 3. What is the equation of the function?
Answer:
y = -5.5x - 20
Step-by-step explanation:
There are many functions that cross those points.
Assuming you're looking at a straight line.
y = mx + b
15/2 = -5m + b --> 7.5 = -5m + b
-73/2 = 3m + b --> -36.5 = 3m + b
Subtract the first from the second.
-44 = 8m
m = -5.5
Plugging back into the first equation, we get b = -20
Answer:
f(x) = −11/2x − 20
Step-by-step explanation:
why cant anyone answer my long math question that has 70 or 60 points on it, come on guys.
Answer:
Math sucks dude.
explanation: math hard
Help please i need help
Answer:
The answer is c=8
3/6=4c
3(c)=4(6)
3c=24
To find the c divide 3 both side
3c÷3=24÷3
c=8
hope that helps you
April purchased 20 3/8 lb of potatoes for a picnic. The potatoes cost $2.95/lb. What was the total cost of the potatoes?
help
Answer:
$55.25
Step-by-step explanation:
20 3/8=163 163 divided by $2.95= $55.25
If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.
Answer:
Step-by-step explanation:
First, solve for each function separately:
F(5)=52+4(5)F(5)=25+20⇒F(5)=45
G(6)=2(6)+2G(6)=12+2⇒G(6)=1
Now, let's add our solutions together:
F(5)+G(6)=45+14=59
WILL GIVE BRAINLIEST!! Solve It & Show Work
6. -18x - 2 = 6
7. 20x - 4 = -2
8. 2 (4x - 2) = -2
9. -2 (3x+4) = -2
10. - (x + 3) = -10
11. 20x -4 - 2x + 2 = -6
12.) -22x +4 -2x = -6
Step-by-step explanation:
6. -18x = 6+ 2= 8
x = 8/-18 = -4/9
7. 20x= -2+4 = 2
20x=2 x= 1/10
8. 8x - 4 = -2
8x= -2+4 = 2
x= 2/8= 1/4
9. -6x-8= -2
-6x= -2+ 8 =6
x= -1
10. -x-3 = -10
-x= -10+3= -7
x=7
hope it helps !!
Does logₓ1 have an answer? true/false + reasoning
Answer:
True
Step-by-step explanation:
Cus
Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?
B(C)=2.69C+84.23
B(C)=1.99C+85.63
B(C)=1.79C+86.03
B(C)=1.07C+87.47
Answer:
3rd option: B(C)= 1.79C +86.03
Step-by-step explanation:
Total bill
= cost of cans(number of cans) +cost of other groceries
Let the cost of other groceries be G, and the cost of cans be X.
Given that number of cans= C,
Total bill= XC +G
If 2 cans were purchased,
2X+G= 89.61 -----(1)
If 5 cans were purchased,
5X +G= 94.98 -----(2)
(2) -(1):
(5X +G) -(2X +G)= 94.98 -89.61
5X +G -2x -G= 5.37
3X= 5.37
X= 5.37 ÷3 (÷3 on both sides)
X= 1.79
Subst. X= 1.79 into (1):
2(1.79) +G= 89.61
3.58 +G= 89.61
G= 89.61 -3.58 (-3.58 on both sides)
G= 86.03 (simplify)
Total bill
= XC +G
= 1.79C +86.03
Thus, the function is B(C)= 1.79C +86.03.
Answer:
the answer is (C)=1.79C+86.03
Step-by-step explanation:
Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.
Answer:
B. Yes, each x value and y value increases by 2.
PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst
Answer:
The answer would be D.
Step-by-step explanation:
A bag of sweets contains only two different flavours - strawberry and Orange
The probability that a sweet is strawberry flavour is 0.8
What is the probability that a sweet is orange flavour
Answer: 0,2
Step-by-step explanation:
Is this right ? Can someone tell me pls
Answer:
yeah i think so
Step-by-step explanation:
which equation represents a line which is perpendicular to the line y=4/3x - 7?
a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12
I need to fill out the blanks
Answer:
1. 14x and 7 and 9x and 3
2. 0x
3. 4
Step-by-step explanation:
Step 1: Distribute
First, multiply 7 by 2x and 1 to get 14x and 7. Then multiply -3 by 3x and 1 to get -9x and -1
Step 2: Combine like variable terms
Combine 14x, -5x, and -9x, to get 0x.
Step 3: Combine like constant terms
Combine 7 and -3, to get 4.
Evaluate the expression
2 − 52 ÷ 5 + 8
Answer:
32
Step-by-step explanation:
plz follow me say a thanks
follow me on ig dipeshkumar0853822
Answer:
decimal= -0.4
exact form=-2/5
Step-by-step explanation:
Solve the equation. If necessary
[tex] \frac{3}{4}x + 2x = - \frac{1}{4} + \frac{1}{2}x + 5[/tex]
Answer:
Exact form: x=19/9
decimal form: x=2.1r
Mixed number form: x=2 1/9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = [tex]\frac{19}{9}[/tex]
Step-by-step explanation:
First, make all the different parts into fractions with a common denominator, so that you can add and subtract them easily. In this case, the common denominator is four.
Doing this, you get [tex]\frac{3}{4} x + \frac{8}{4} x = -\frac{1}{4} + \frac{2}{4} x + \frac{20}{4}[/tex]
Isolate all the variables to get [tex]\frac{3}{4} x + \frac{8}{4} x - \frac{2}{4} x = -\frac{1}{4} +\frac{20}{4}[/tex]
Then, combine like terms [tex]\frac{9}{4} x = \frac{19}{4}[/tex]
Multiply both sides by 4 to get 9x=19
Divide both sides by 9, and you get [tex]x= \frac{19}{9}[/tex]
Hope this helps! :)
What is the product of (9) (-9) (-1)?
Answer:
81
Step-by-step explanation:9 times -9 is -81. -81 times -1 is 81, because two negatives cancel each other out
Answer:
81
Step-by-step explanation:
9 × -9 = -81-81 × -1 = 81I hope this helps!
is the following relationship non-proportional? or proportional? (please give me an explanation!!)
When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest
If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.
The function, f(x), models the total number of dolls in her collection after x number of years is,
f(x) =6+4x.
Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Explain the question and I'll add you as branlist
Answer:
What question? We need more context
Answer:
The question is a question that is asked by someone who is asking a question, to whom they most likely need an answer to
Step-by-step explanation:
Which of these forms should you use to file your tax return? A. W–2 form B. 1040EZ form C. 1041ES form
Answer:
Step-by-step explanation:
You need the 1040EZ to do the actual filing.
Answer:
B because I just learned it
Which ordered pairs are solutions to the inequality y−3x<−4? Select each correct answer.
Answer:
Okay so what you need to understand first is that this is a line right?
So, ask yourself if you know how to graph this line.
If you do graph it, and because this line has a < less than sign it means you shade down but it also means that any point directly on the line won't be a solution because the line is dashed!
There can be many solutions to this line, but only in the solution area/shaded region. This in on the lower right side of the diagonal line that is crossing from almost 2 x-axis to -4 y- axis on the line!
If you would've shown me the list of ordered pairs I would've been able to select the correct ones.
Answer:
(4,-2) and (5,1) I took the test
Step-by-step explanation:
ano-ano ang nais mangyari ni mathilde sa kaniyang buhay?natupad ba nag mga ito?
Answer:
can u say in english
Step-by-step explanation:
please
PLEASE HELP ME!!!! BRAINLEST FOR ANYONE WHO HELPS
Which situation presents an example of a proportional function?
A. A game rental company charges $3.50 per game.
B. An art studio charges a registration fee of $25, plus a monthly fee of $40.
C. The temperature in the morning was 56 degrees and it increased by 2 degrees every hour.
D. A pizza parlor charges $5 for a small cheese pizza, plus $2 for each additional topping.
Answer:
The answer is A
Step-by-step explanation:
A proportional function is a function where the output = constant x input
Let's make each of these situations into an equation
A) y = 3.5x
B) y = 40x + 25
C) y = 2x + 56
D) y = 2x + 5
because A is the only one that follows the output = constant x input rule it is the example of a proportional function
Find the angle measures. Justify your responses.
Given: a||b, m∠3=63
Find: m∠6,m∠7
Answer:
m∠6 = 117°
m∠7 = 63°
Step-by-step explanation:
It's given that a║b and m∠3 = 63°
Since, ∠3 and ∠6 are the consecutive interior angles,
m∠3 + m∠6 = 180°
63° + m∠6 = 180°
m∠6 = 180° - 63°
= 117°
Since, ∠3 and ∠7 are the corresponding angles,
Therefore, ∠3 ≅ ∠7
m∠7 = m∠3 = 63°
Find the area of the triangle.
The area of the triangle is square units.
Answer: Um, where is your picture to answer to this question? Please show me this picture to answer the question!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please your question is Incomplete please edit the question
Find the percent of increase from 2005 to 2010.
Answer:
0.249%
Step-by-step explanation:
Difference: 2010 - 2005 = 5
Increase = Difference / Starting point = 5 ÷ 2005 = 0.00249 or 0.249%
