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.
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
one tube of paint?
Pythagorean theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.
I NEED HELP WORTH THIS there is one more option of 6,6 also
Answer:
C. (2,4)
Step-by-step explanation:
which is the least -1 1/4 or -3/2
Answer:
-3/2
Step-by-step explanation:
2 1/3 x 3 5/6 please answer
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
3*6
161/18
8 17/18
The equation x = 1 is an example of linear but not function. Why?
more on fraction
21×5
Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
Answer these correctly I’ll give brainalist + 10 points
the picture is the question
Answer:
Swap the direction of the inequality
Step-by-step explanation:
Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <
If you buy 4 turkey subs that in total costs 26 dollars how much would 5 turkey subs cost.
Answer:
33/32.5
Step-by-step explanation:
26 divided by 4 equals 6.5
then 6.5 times 5 equals 32.5
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
Regina read his novel three nights in a row. Each night, he read for 3/4 of an hour. How many hours did regina read his novel altogether?
Answer:
Regina read for 2 1/4 hours or 2 hours and 15 minutes
Step-by-step explanation:
Can someone write down the answers pls!!!!!!!!!!
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
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
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
0.43 + 0.21 = 0.64
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
I just need help cause if I don’t I don’t know what imma do
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]
heyy i need help on me hw
Answer:
the answer is b
Step-by-step explanation:
brainliest pleasee?
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Simplify the expression: 5(-5 + 2y) =
6+x=23 what is x in the equation
What is the median of data set 32 25 25 32 32 10 -10 25
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
I need some help
I will give you brainliest and heart!
Answer:
Correct!
Step-by-step explanation:
First, I'll try to solve it myself.
2(2a-1)+3a=7a-2
7a-2
4a-2=7a-2
His is very correct!
i need help with everything please if you help you are a legend please.
2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.
3.
a. Closest to 1.
b. Closest to 0.
c. (1/12)
4.
a. Closest to 1.
b. Closest to (1/2)
c. (14/16)-(10/16)=(4/16)
Does anyone know the answer??????
Answer:
i think its the 2nd choice but im not 100% sure
Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
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
100 - 50 + 4
HELP PLS PLS PLSSSSS
Answer:
54
Step-by-step explanation:
100-50+4=50+4
=54
.....
Please this will determine if I pass
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.
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
[tex]M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83[/tex]
The GPA of the student is 1.83.
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
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?
Answer:
I believe if they did it together they would finish in 6 minutes
Step-by-step explanation:
How many quarts are in two gallons?
2 gallons = 8 quarts
hope it's help ;3