Given:
[tex]g(x)=-(x-2)^4[/tex]
[tex]f(x)=x^4[/tex]
To find:
How does the graph of g(x) compare to the parent function of f(x)?
Solution:
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If k<0, then graph of f(x) reflected over x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
[tex]f(x)=x^4[/tex]
[tex]g(x)=-(x-2)^4[/tex]
So,
[tex]g(x)=-f(x-2)[/tex] ...(2)
From (i) and (ii), we get
[tex]k=-1<0[/tex], it means g(x) reflected over the x-axis.
[tex]a=-2<0[/tex], it means g(x) shifted 2 units to the right .
Therefore, the correct option is A.
Answer:
A. g(x) is shifted 2 units to the right and reflected over the x-axis.
Step-by-step explanation:
(Please Help and do both parts Will give Brainliest)
Answer:
15.625
Step-by-step explanation:
It's a ratio, just divide 192(Box A volume) by 8(Box A length) to get a third number(24) you then use that number to divide Box B's volume. 375/24 is 15.625
Answer:
it equals 10
Step-by-step explanation:
TIMED TEST PLEASE ANSWER!!
Which does NOT represent the interior angle measures of a triangle?
A. 50, 750, 100°
B. 10°, 80°, 90°
C. 20°, 60°, 1000
D. 45°, 45°, 45°
E. 50°,50°, 80°
Answer:
A (also c if it is 1000 rather than 100)
Step-by-step explanation:
Interior angles in a triangle add up to 180°
Express this number in standard form.
9.647 times 10^{7} =
Answer:
96,470,000
Step-by-step explanation:
10^7=10,000,000
10,000,000 * 9.647= 96,470,000
Hope this helps!
A car can travel 476 miles on 14 gallons of gas. Write a proportion relating the distance to the number of gallons. How many miles can the car travel on 17 gallons?
Answer:
578 miles
Step-by-step explanation:
In order to solve this problem, we need to first calculate how many miles the car can travel on a single gallon of gas. To do this we simply divide the 476 miles that the car travelled by the 14 gallons it used to do so.
476 miles / 14 gallons = 34 miles per gallon
Now, we can see that car can travel 34 miles for every gallon of gas it uses. Therefore, in order to calculate the distance, it can travel on 17 gallons, we simply multiply 34 miles by the 17 gallons we will use like so...
34 miles * 17 gallons = 578 miles
Multiply each pair of factors. Type the product in
the space provided.
(6 +31)(6 - 31) =
(4-51)(4+51) =
(-3+81)(-3-81)
Answer:
(6+31)(6-31)=-925
(4-51)(4+51)= -2585
(-3+81)(-3-81)= -6552
The opening under a bridge is in the shape of a semielliptical arch and has a span of 82 feet. The height of the arch, at a distance of 9 feet from the center, is 28 feet. Find the height of the arch at its center. Hint: let the center of the horizontal span be (0, 0).
Answer:
28.7 feet
Step-by-step explanation:
The equation of a parabola is in the form:
[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]
The bridge can be represented as:
Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41
[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]
The arch is 28.7 feet from its center
3x = -1/2 I don’t know the answer
Answer: X = -1/6
Step-by-step explanation:
So what we know is that 3 times something will equal negative one half. Tog get to that number, we divide the 3x by 3 to get x and the same on the other side so 3 divided by -1/2 is 1/6.
Mike's plumbing charges 22 for coming to your house and 17 per hour for labor . If I paid him 311 , how many hours,h, was mike at my house write and solve an equation that is represented in this scenario.
A snack mix recepie uses a radio of 3/4 pud of dried apple to 1/2pound of dried pairs.
Answer:
Amount to be needed = 3/8
Step-by-step explanation:3/4 pound of dried apples to 1/2 pound of pears
3/4 : 1/2
Amount of dried apples to be needed per pound of dried pears = ??
Therefore, 3/4×1/2 = 3/8
The line contains points (3, 5) and (-3, 0). what is the slope intercept form
If Chris paid $450 for a television that was 75% of the original price, what was the original price?
Answer:
$787.50
Step-by-step explanation:
[tex] \frac{75}{100} \times 450 =337.50[/tex]
[tex]337.50 + 450 = 787.50[/tex]
i think this is the answer
Answer:
$600 is the original price
Step-by-step explanation:
Sierra plays a video game an earns 2,578 points. If she plays the game 5 more times and earns the same number each time how many points will she get? i really need help im a 4th grader
Answer:
Total points= 12,890 points
Step-by-step explanation:
Giving the following information:
For each time Sierra plays, she earns 2,578 points. Therefore, the total point formula is:
Total points= 2,578*x
x= number of games played
Now, we multiply for 5 plays:
Total points= 2,578*5
Total points= 12,890 points
help! what is the meaning of math. what math is useful to us and why? why do we learn math we don’t need to know?
Step-by-step explanation:
We learn math to expand the memory and learn it just in case you need it later on. You will not always have your phone on you so you can't always have a calculator. We learn math that we don't need because it helps us learn other problems just in cause and open you up to new jobs.
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
A number has a 6 in the tenths place. The number also has a digit whose value is 1/10 the value of the 6 in the tenths place. Which could be the expanded form of the number?
Answer:
The expanded form of the number is
= 6 × 1/10 + 6 × 1/100
= 6/10 + 6/100
= 0.6 + 0.06
The number is = 0.66
Step-by-step explanation:
A number has a 6 in the tenths place. The number also has a digit whose value is 1/10 the value of the 6 in the tenths place. Which could be the expanded form of the number?
We are told that a number has 6 in its tenth place
This means
6/10 = 0.6
The number also has a digit whose value is 1/10 the value of the 6 in the tenths place.
This means
= 6/10 × 1/10 = 6/100
0.6 × 1/10
= 0.06
Hence, the expanded form
= 6 × 1/10 + 6 × 1/100
= 6/10 + 6/100
= 0.6 + 0.06
= 0.66
find all the zeros of the polynomial function
x^3-2x^2 +5x-10
Answer: x = [tex]\sqrt{5} , -\sqrt{5}[/tex] , and 2
Step-by-step explanation:
in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5
so, x^2(x-2)+5(x-2)
some rule out there says you can simplify this to
(x^2+5)(x-2)
to find the zeroes, set it equal to zero
(x^2+5)(x-2) = 0
you can split up the pairs of parenthesis to equal 0
(x^2+5) = 0
(x-2)=0
find x for both equation and you end up with [tex]\sqrt{5} , -\sqrt{5} , and 2[/tex]
Theodore buys a sandwich for $4.47 and two salads for $5.10 each. If he pays with a $20 bill, how much change does he receive?
*WITH PROOF AND ANSWER I GIVE YOU BRAINIST AND POINTS PLUS TY*
a
$5.24
b
$5.33
c
$5.21
d
$5.19
Answer:
b. $5.33
Step-by-step explanation:
one sandwich for 4.47
two salads for 5.10 each, so 10.20 for both;
now add 10.20 and 4.47 together: you get 14.67
the bill comes to 14.67, but he pays 20.00;
so subtract 14.67 from 20; you get 5.33
his change is $5.33
can i get brainliest please?
Which point on the graph represents the y-intercept? V W Y Z
Answer:
W
Step-by-step explanation:
It is W because the y-intercept is always on the y line.
2 over 9 minus 1 over 3 in simplest form
Answer:
2/9 - 1/3 (If you want to solved: -1/9)
Step-by-step explanation:
2 over 9 is 2/9 minus is just - and 1 over 3 is 1/3 so the equation looks like this: 2/9-1/3
To solve this you need to multiply the 1/3 by 3 on both the denominator and numerator: 2/9-3/9
simplify: -1/9
Hope this helps!
Find the slope of the line passing through points (2,4) and (7,2)
-(4+m)+2=m what is m
Answer:
m=-1
Step-by-step explanation:
-(4+m)+2=m
-2-m=m
-2=2m
m=-1
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate
how many years it will take for the value of the account to reach $600?
The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.
How is future value found?Future value is calculated as:
= Amount x (1 + rate) ^ number of years
If the number of years is to be found and the future value is already known, then the number of years can be x:
600 = 400 x (1 + 3%) ^ number of years
600 = 400(1.03)^x
Find out more on future value at https://brainly.com/question/24703884.
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(-8)+6-8+(-5)
A. -11
B. -15
Which one?
Answer:
B
Step-by-step explanation:
if this helps plz give me brainliest :)
Answer:
-15
Step-by-step explanation:
-8+6=-2
-2-8=-10
-10-5=-15
Three lemon cookies and two fudge cookies have a total of 400 calories. Two lemon cookies and three fudge cookies have a total of 425 calories. How many calories are in each kind of cookie?
Answer:
lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
Solve for x, y, and z in the figure below.
Answer:
I believe the answer is A.
Step-by-step explanation:
Correct me if im wrong plz thanks
Answer:
I think the answer is A
in the circle below, the sum of which arcs is equivalent to arc CG?
arc CG = arc CD + arc FG
arc CG = arc CF + arc EG
arc CG = arc CE + arc DG
arc CG = arc CE + arc EG
Answer: arc CG=arc CE+ arc EG
Step-by-step explanation:
The arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
As we can see the arc CG is marked on a circle.
CG is the sum of CE and EG.
or
arc CG = arc CE + arc EG
Thus, the arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.
Learn more about circle here:
brainly.com/question/11833983
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What would be the slope, zero, and the y-int of y = 1/2x -1
Answer:
slope=1/2, y-int=-1
Step-by-step explanation:
y=mx+b
m=1/2
b=-1
what is direct variation
Answer:
its mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
The range of g(x)= [[x/2]] is:
A. All real numbers
B. All odd integers
C. All integers
D. All negative numbers
E. All even numbers
The requried range of the given greatest integer function is all integers. Option C is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Given expression g(x)= [[x/2]],
Since the given expression is the greatest integer function so the range of the function will be all integers as given as,
For example,
x = 3
g(x) = [[x / 2]]
g(3) = [[3 / 2]]
= [1.5]
= 2 [since for greatest integer function [x] = x + 1 or = x]
Thus, the requried range of the given greatest integer function is all integers. Option C is correct.
Learn more about function here:
brainly.com/question/21145944
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Look at the picture and you’ll see.
Answer:
None of the above
Step-by-step explanation:
Answer:
the picture isn't loading :(
Step-by-step explanation:
what is -0.10416666666 as a fraction
Answer:-5208333333/50000000000
Step-by-step explanation:
