HELP!!!!!!!
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answers
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
Answer:
A.) Left By 4 Units
Step-by-step explanation:
Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16
The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.
Given,
f(x) = x²
g(x) = x² + 8x + 16
we have to consider, the dependent term while selecting the direction.
Therefore, except x², only x term is dependent term.
In g(x), the x term is given by 8.
Therefore, we need to shift the f(x) left by 4 units.
Therefore, option A is correct.
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6+x=23 what is x in the equation
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Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
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60 * 2 = 120
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24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
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Answers
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Answer:
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Step-by-step explanation:
100-50+4=50+4
=54
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
the picture is the question
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Step-by-step explanation:
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Step-by-step explanation:
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His is very correct!
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Step-by-step explanation:
21+21+21+21+21=105.
What is the median of data set 32 25 25 32 32 10 -10 25
Answers
Answer:
-10, 10, 25, 25, 25, 32, 32, 32
Its 25
Step-by-step explanation:
The median is the middle number if there are an even amount of numbers you would have two medians add them the divide by two
Simplify the expression: 5(-5 + 2y) =
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Answer:
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Step-by-step explanation:
brainliest pleasee?
The Gable Construction Corporation has placed bids for installing electronic message boards on two different highways.
Because of competition from other companies, Gable Construction Corporation officials estimate that the probability that
they will be awarded the Macon Expressway contract is 0.65 and the probability that they will be awarded the Seaview
Expressway contract is 0.43. Furthermore, the probability that they will be awarded both contracts is 0.22. What is the
probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Answers
Answer:
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Step-by-step explanation:
We solve this question using these events as Venn sets.
I am going to say that:
Event A: Awarded the Macon Expressway.
Event B: Awarded the Seaview Expressway.
Probability that they will be awarded the Macon Expressway contract is 0.65
This means that [tex]P(A) = 0.65[/tex]
The probability that they will be awarded the Seaview Expressway contract is 0.43.
This means that [tex]P(B) = 0.43[/tex]
Furthermore, the probability that they will be awarded both contracts is 0.22.
This means that [tex]P(A \cap B) = 0.22[/tex]
What is the
Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?
Only A:
[tex]P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43[/tex]
Only B:
[tex]P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21[/tex]
Either
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Answers
Answer:
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Step-by-step explanation:
-2y + 4 > 10
solve the inequality
Answers
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
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divide both sides by two
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-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
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so we have to switch the signs to < or less than
y<-3
Hope that helps:)
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Step-by-step explanation:
6b x>=1
6c y>7
7a x>3
7b -2<=2x<6
-1<=x<3
answer:-1,0,1,2,3
If you buy 4 turkey subs that in total costs 26 dollars how much would 5 turkey subs cost.
Answers
Answer:
33/32.5
Step-by-step explanation:
26 divided by 4 equals 6.5
then 6.5 times 5 equals 32.5
calculate the GPA of a student with the following grades: B (3 hours), D (8 hours), C (18 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
Answers
Answer:
The GPA of the student is 1.83.
Step-by-step explanation:
We use a weighted average to solve this question.
We have the following grades:
B, which is equivalent to 3, with weight 3.
D, which is equivalent to 1, with weight 8.
C, which is equivalent to 2, with weight 18.
So
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How many quarts are in two gallons?
Answers
2 gallons = 8 quarts
hope it's help ;3
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Answers
Answer:
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Step-by-step explanation:
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Answer:
8 17/18
Step-by-step explanation:
I used an online calculator (calculator soup)
Answer:
8 17/18
Step-by-step explanation:
7/3 * 23/6
7*23
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161/18
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Answer these correctly I’ll give brainalist + 10 points
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Answer:
[tex]P(32) = \frac{1}{90}[/tex]
[tex]P(Odd) = \frac{1}{2}[/tex]
[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
Sample Space = 10 to 99
First, we calculate the sample size (n)
[tex]n = 99 - 10 + 1[/tex]
[tex]n = 90[/tex]
Solving (a): P(32)
In 10 to 99, there is only 1 32.
So,
[tex]P(32) = \frac{n(32)}{n}[/tex]
[tex]P(32) = \frac{1}{90}[/tex]
Solving (b): P(Odd)
There are 45 odd numbers between 10 and 99
i.e.
[tex]n(Odd) = 45[/tex]
So:
[tex]P(Odd) = \frac{n(Odd)}{n}[/tex]
[tex]P(Odd) = \frac{45}{90}[/tex]
[tex]P(Odd) = \frac{1}{2}[/tex]
Solving (c): P(Multiple of 5)
There are 18 multiples of 5 between 10 and 99
i.e
[tex]P(Multiples\ 5) = \frac{18}{90}[/tex]
[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]
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3.
a. Closest to 1.
b. Closest to 0.
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4.
a. Closest to 1.
b. Closest to (1/2)
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A student must leave for campus in 10 minutes or he will be late for class. Unfortunately, he is snowed in. He can shovel the driveway in 18 minutes, and his brother claims to be able to do it in 12 minutes. If they shovel together, how long will it take to clear the driveway? Will this give enough time for the student to get to the campus?
Answers
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
The equation x = 1 is an example of linear but not function. Why?
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B.2/3
C.3/3
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Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
Answers
Answer:
KL= 17.67 unit
UE = 17.67 unit
Step-by-step explanation:
Given:
Diagonals
KL= h+7
UE = 4h-25
Find:
Length of diagonals KL and UE
Computation:
We know that in isosceles trapezoid the length of diagonals are equal
So,
KL = UE
h+7 = 4h-25
3h = 32
h = 10.67
So,
KL= h+7
KL= 10.67+7
KL= 17.67 unit
UE = 4h-25
UE = 4(10.67)-25
UE = 17.67 unit