Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a vertical translation of the graph of f 12 units downward.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
The complete the sentence is The graph of g is a vertical translation of the graph of f 12 units downward.
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
f(x) = 6x
and, g(x) = 6x – 12.
As, -12 shows the vertical translation of 12 units.
Also, The graph of g(x) is a vertical translation of f(x).
Despite having distinct y coordinates, both objects have the same x coordinates.
So, The graph of g is a vertical translation of the graph of 12 units downward.
Learn more about Translation here:
https://brainly.com/question/12463306
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The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif
Answer:
18ft
Step-by-step explanation:
Given data
Ratio of length to width = 5:3
Length = 30ft
Apply the part to part method
let the width be x
5/3= 30/x
cross multiply
5x= 30*3
5x= 90
x= 90/5
x=18 ft
Hence the width is 18ft
Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her final pay for the week was $159.50. How much money did Yolanda earn in tips?
Answer:
She earned $20 in tips.
Step-by-step explanation:
First, you need to work out how much pay she'd get for 12 hours work:
12 x $11.25 = $135 for 12 hours work
Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:
2/5 of $11.25 = $4.50
Add both these sums together to get her total pay for hours worked:
$135 + $4.50 = $139.50
Subtract that sum from her total pay to find out how much money she earned in tips:
$159.50 - $139.50 = $20
The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm
(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3
Answer:
Volume = 2,258.67 cm³
Step-by-step explanation:
Volume of the object = volume of hemisphere + volume of cylinder
= ⅔πr³ +πr²h
Where,
π = 22/7
r = 7 cm
h = 10 cm
Volume = (⅔*22/7*7³) + (22/7*7²*10)
Volume = 2,258.67 cm³
A storekeeper increased the price of hats by 5%.
Write an equation to calculate the increase of the total
cost, c, when the price of a hat is p dollars.
Select all that apply.
A c 1.50p
BC-,95p
cc 1.05p
Dc-1 + 05p
Ec-(1 + .05)p
Answer: c = 1.05p
Step-by-step explanation:
Price of the hat = p
Percentage increase in the price of the hat = 5%
The equation to calculate the increase of the total cost, c, of the hat will be:
c = p + (5% × p)
= p + (5/100 × p)
= p + (0.05 × p)
= p + 0.05p
c = 1.05p
please find h and a
Answer:
h=12 + c=20
Step-by-step explanation:
a^2+b^2=c^2
9^2+h^2=15^2
15^2-9^2=h^2
225-81=h^2
144=h^2
[tex]\sqrt{144}[/tex] = h
12=h
a^2+b^2=c^2
16^2 + 12^2 = c^2
256+144=c^2
400=c^2
[tex]\sqrt{400}[/tex] = c
20=c
New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago
Write an expression equivalent to 46x + 12), and state the property you used to write it.
Answer:
2(23x+6) is correct answer
6.37x10^-2
Thanks to anyone who answers this.
Answer:
6.37 x 10^-2 =0.0637
Solve for x. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA
cos(37) = 48/x
x = 60.1
simpliyfy (-3/7)^3 * (-3/7)^4
Answer:
Step-by-step explanation:
(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷
Answer:
the answer to this question is (-3/7)^7
John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation
Answer:
can some one give the answer
Step-by-step explanation:
pls
5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5
Answer: 7.3x + 5
Step-by-step explanation:
For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.
= 5.2x+8+2.1x-3
= 5.2x + 2.1x + 8 - 3
= 7.3x + 5
Therefore, the correct answer is 7.3x + 5
Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.
Answer:
no it is not correct
Step-by-step explanation:
it's kind of hard to explain in words so I'm sorry about that
hope it helps
Washington Middle School is painting a circle on their playground with a radius of 12 feet. What will be the total area of the circle, in square feet?
Answer: circle
A=452.39ft2
R radius 12
A=πr 2=π. 12 ‘2=452.38934ft’2
Find the mean of the first 7 odd prime number?
Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]
----------------------------------------------------------------------------------------
The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
HELP!!!!
Given that x=6 and y=-4, evaluate each of the following expressions:
A. 5x/3y+x
B. 2x (square) - y (cube)
Answer:
A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2
B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136
PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in
Answer:
5[tex]\pi[/tex]+40
Step-by-step explanation:
perimeter of circle=2[tex]\pi[/tex]r
so 5 is r(radius)
so 10[tex]\pi[/tex], but since it’s semicircle, you have to divide by 2, so
5[tex]\pi[/tex]
perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40
so 5[tex]\pi[/tex]+40
BRAINLIEST FOR ANSWER PLEASE HURRY
Answer:
11.3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
8^2+8^2=128
the square root of 128 is 11.3137085
then you round to the nearest tenth and get 11.3
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
if 10^3x=1/0.001,find the value of x
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
solve: |2x-1| ≥ 4x+3
Step-by-step explanation:
consider the sign as equals then
move 2x right side 3 on left
solve it
answer is 2
Question is: 2x - 1 >= 4x + 3
First, join the like terms together.
-> So 2x moves into 4x, meaning it becomes negative -2x on the other side.
-> The number 3 moves into the other side which also becomes negative.
Now the equation will look like this:
- 3 - 1 >= 4x - 2x
- 4 >= 2x
Put 2 on the other side with - 4, and it will divide (not plus or minus as 2 was combined with an unlike term).
It looks like this now:
- 4/2 >= x
- 2 >= x
This is the answer.
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.
Answer:
Step-by-step explanation:
2n+15>3
Answer:
2x + 15 > 3
IS THIS RHIGT?
eXPLANATION :
Twice a num = 2(x)
sum of it and 15 = 2x + 15
is greater than 3 = >3
so : 2x + 15 > 3
The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
What is 4n-32? Factor your expression using the greatest common factor.
Answer:
4(n-8)
Step-by-step explanation:
take out 4 from 4n-32
so it's 4(n-8) coz 32÷4=8 so yeah
i need help with 9th grade work
Answer: h(-1) is -3.
Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.
2(-1) - 1
= -2 - 1
= -3.
Answer:
h (-1)
-3
Step-by-step explanation:
h (-1) = 2 (-1) - 1
simplify 2.. (-1) - 1
answer= -3
PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL
Enter the ordered pair for the vertices for 180°,0)(QRST).
Q
o
S
IR
O Q' = (-1,-3) R' = (-3,3 ) S'= (0,2)T' =(2, -1)
OQ' = (-1,3) R' = (-3,-3) S'=(0, -2)T' =(2, 1)
Q' = (1, -3) R' =(3,3) S' = (0,2)T' = (-2,-1)
Answer:
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)
Step-by-step explanation:
The coordinates of he vertices of the triangle QRST are;
Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)
A rotation of a point with coordinates (x, y) 180° about the origin gives;
The coordinate of the point of the preimage before the rotation = (x, y)
The coordinate of the point of the image after the rotation = (-x, -y)
Therefore we have;
The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)
The image of point R(3, -3) after 180° rotation = R'(-3, 3)
The image of point S(0, -2) after 180° rotation = S'(0, 2)
The image of point T(-2, 1) after 180° rotation = T'(2, -1)
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).
pls help me I will mark
Answer:
6
Step-by-step explanation:
Slope is going up 6 and 1 across.
Answer:
6
Step-by-step explanation: