Given:
The functions are
[tex]f(x)=x[/tex]
[tex]g(x)=x+8[/tex]
To find:
How the graphs of f and g are related.
Solution:
We have,
[tex]f(x)=x[/tex]
[tex]g(x)=x+8[/tex]
Using these functions, we get
[tex]g(x)=f(x)+8[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] ... (2)
Where, a is horizontal shift and b is vertical shift.
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.
On comparing (1) and (2), we get
[tex]a=0,b=8[/tex]
It means, the graph of f is translated 8 units up to create the graph of g.
Therefore, the correct option is B.
pls I need it asap it's due in 5 minutes. with steps pls
Answer:
Solution → (2, -1)
Step-by-step explanation:
Input-output values table for equation (1),
2x + y = 3
x -1 0 1 2
y 5 3 1 -1
Input-output values table for equation (2),
y = x - 3
x -1 0 1 2
y -4 -3 -2 -1
Now plot these points to get the graphs of both the equations.
Common point (2, -1) of both the lines will be the solution of the system of equations.
2.42*3.20 step by step
Answer:
7.744
Step-by-step explanation:
3.20=3.2
you can multiply just 242 and 32 then pop in the decimal point later
242*32=242*30 + 242*2
242*3*10=726*10=7260
242*2=484
7260+484=7744
2*3 (rounded version of numbers) is 6
so the answer after putting decimal point should be around 6
77.44 is way too hight
7.744 is decently close to 6
so the answer is 7.744
What is the slope of the line shown below?
(3,9)
(-4, 2)
A. 1
B. -6
C. 6
D. -1
Answer:
a. 1
Step-by-step explanation:
2-9/-4-3
-7/-4-3
-7/-7
1
Simplify the following expression:
3i(4-i) + i(6+2i)
A. 18-i
B. i +18
C. 13 + i
D. i-13
Find all solutions to the equation.
cos^2x + 2 cos x + 1 = 0
Answer:
take a picture of the problem
need help hshhsshsnd dbd
Answer:
It would be 2/5
Step-by-step explanation:
It would originally be 8/20 but you would simplify it to 2/5.
1.86 x 10 and 1.86 x 100. I need the solving steps please
Answer: I don't know if this would be helpful, but in this case, you can really just move the decimal point to the right the amount of times you see a zero in what you are multiplying it by. 1.86 x 10 = 18.6 , 1.86 x 100 = 186
Step-by-step explanation:
Sorry if its not helpful im trying..
whoever answers this question first gets breainly
Answer: 13,500
Step-by-step explanation:
How much interest will be earned in a bank account with £3850 that pays 1.3% interest each year how much will there be after 6 years
Answer:
Results are below
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £3,850
Number of periods (n)= 6 years
Interst rate (i)= 1.3% = 0.013
First, we will calculate the future value (FV), by using the following formula:
FV= PV*(1+i)^n
FV= 3,850*(1.013^6)
FV= £4,160.23
Now, by difference, the interest earned:
Interest earned= 4,160.23 - 3,850= £310.23
What is the product of 5 and 8[tex]\sqrt{80}[/tex] in simplest radical form?
Answer:
Step-by-step explanation:
√80 = √(2⁴ × 5) = √2⁴ × √5 = 4√5
5 × 8√80 = 160√5
Find the number of faces on this solid.
Answer:
5 faces
Step-by-step explanation:
4 triangle faces + 1 square base face = 5 faces in total
Answer:
4+1
Step-by-step explanation:
Answer would be 5 if im correct
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $15 and a pie costs $13. In one
day, the store sold 9 baked goods for a total of $121. How many cakes did they sell?
a. 8 cakes
c. 7 cakes
b. 2 cakes
d. 4 cakes
Answer:
a. 8
Step-by-step explanation: Out of 12 baked goods sold , let the number of cakes sold, be x in number and pies sold were 12 − x in number. Total sell was $ 144 , 1 cake costs $ 14 and 1 pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96 or 6 x = 48 ∴ x = 8
Which expression describes the nth term of the arithmetic sequence 5, 9, 13, 17, ...?
Answer:
4n + 1
Step-by-step explanation:
The first term is 5.
Each new term is 4 plus the previous term.
Term 1 = 5
Term 2 = 5 + 4
Term 3 = 5 + 4 + 4
Term 4 = 5 + 4 + 4 + 4
Notice that for each new term, you add one 4 less than the number of the term.
In term 1, you have 5 and no 4 added.
In term 2, you add one 4 to the 5.
In term 3, you add two 4's to the 5.
In term n, you add (n - 1) 4's to the 5.
Term n = 5 + (n - 1)4
Term n = 5 + 4n - 4
Term n = 4n + 1
Answer: 4n + 1
The cost of a car rental is 30$ per day plus 27 cents per mile. You are on a daily budget of 76 $. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.
(please i need help)
Answer:
okok so the answer is
Step-by-step explanation:
45.55+30=74.55
0.27 * 168=45.36
45.36+30=75.36
So he can drive 168 miles each day at most to stay within his budget.
Hope this helps :)
Solve the simultaneous equation 3x+2y=4 4x+5y=10
Answer:
2x=4-2y
x=(4-2y)/3
4x+5y=10
4[(4-2y)/3]+5y=10
(16-8y)/3+5y=10
(16-8y+15y)=10*3
7y=30-16=14
y=2
Step-by-step explanation:
The solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
To solve the simultaneous equations:
Equation 1: 3x + 2y = 4
Equation 2: 4x + 5y = 10
We can solve this system of equations using the method of substitution or elimination.
Step 1: Multiply Equation 1 by 4 and Equation 2 by 3 to make the coefficients of x in both equations the same:
Equation 1 (multiplied by 4): 12x + 8y = 16
Equation 2 (multiplied by 3): 12x + 15y = 30
Step 2: Subtract Equation 1 from Equation 2 to eliminate x:
(12x + 15y) - (12x + 8y) = 30 - 16
12x - 12x + 15y - 8y = 14
7y = 14
y = 14 / 7
y = 2
Step 3: Substitute the value of y into either equation to solve for x. Let's substitute it into Equation 1:
3x + 2(2) = 4
3x + 4 = 4
3x = 4 - 4
3x = 0
x = 0 / 3
x = 0
Therefore, the solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
To know more about equations click here :
https://brainly.com/question/23864781
#SPJ2
Round the nearest indicated place.
1.0.326 (Hundredths)
2. 3.6793 (thousandths)
3. 63.438 (hundredths)
4. 7.4684 (thousandths)
5. 0.8931 (tenths)
Answer:
1 0.33
2 3.679
3. 63.44
4 7.468
5 0.9
Answer:
1. 0.33
2. 3.679
3. 63.44
4. 7.468
5. 0.9
In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits
populated Central Park 21 years later?
Answer:
918
Step-by-step explanation:
Given data
Initila population= 85
Rate = 12%
TIme= 21 years
Let us apply the compounding expression
A=P(1+r)^t
substitute
A= 85(1+0.12)^21
A=85(1.12)^21
A=85*10.80
A= 918
Hence the approximate Rabbit population will be 918
Some help pls don't answer if you don't know also I’ll give brainliest.
Answer:
Step-by-step explanation:
-44
Answer:
-44
Step-by-step explanation:
8 to the 2nd power = 64
9 x 3 = 27
27 - 64 = -37
-37 - 7 = -44
Hope I helped :)
Marshall bought 20 refills and sold them at $ 4 each. If it had cost $ 50 for the refills, what was his profit or loss percent
Answer:
$30 or 60%
Step-by-step explanation:
20 ×4= 80
80-50= 30
30/50= .6 , or 60%
If you can buy 5 packs of gum for $4.99 how much does 1 pack of gum cost? (1 mark)
Step-by-step explanation:
5 packs = $4.99 => $5
1 packs = $5 ÷ 5
= $1
So, much on 1 packs of gum cost is $1
Sorry, if i wrong. Im newbie in USA server
Answer:
divide 4.99 by 5 and that should be your answer
Step-by-step explanation:
Is the number below
rational or irrational?
Square root of V16
Help? which one should I choose
Answer:
true
Step-by-step explanation:
For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.
The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.
Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.
Help on Part A and Part B ASAP pls!!
Answer:
0.625 feet
5feet/8parts
Answer:
Step-by-step explanation:
Help meeeeeee!!!!!! Will mark you the brainest answer
Answer:
130
Step-by-step explanation:
Answer:
it's 130 degres
Step-by-step explanation:
If Charlie had 100 million followers and lost 15 million for v****g how much follower does she have now
Answer:
85000000
Step-by-step explanation:
it's easy so simple
Which of the following ordered pairs is a solution to the equation 2x+6y=6? Select all that apply.
elect all that apply:
(−6,3)
(10,4)
(−3,2)
(12,12)
(−3,−4)
A. Image
B. Rotation
C. Reflection
D. Transformation
how can you tell if a linear equation is proportional?
Answer:
If the line goes through the origin, (0,0), that means the linear equation is proportional, if it doesn't go through the origin, the equation isn't proportional.
You can also tell if a linear equation is proportional if the equation has an constant after the x (for example y=2x+6)
A plumber charges $10 for transportation and $37 per hour for repairs.
Complete the expression that can be used to find the coins in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is __________________
Answer:
10+37h
Step-by-step explanation:
10 is the flat fee so only happens once
37 is hourly rate so multiply by h (hours)
helpppppppppppp plzzzzzzzz
Its been awhile but i think its y=0x+5