Mathematics College

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 1

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:

HELP!!!!!!! Functions F(x) And G(x) Are Shown: F(x) = X2 G(x) = X2 + 8x + 16 In Which Direction And By
Answer 2

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.

Related Questions


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

Answers

The answer is c (this needs too be 20 characters long)

I just need help cause if I don’t I don’t know what imma do

Answers

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]

-2y + 4 > 10

solve the inequality

Answers

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:)

Answer these correctly I’ll give brainalist + 10 points

Answers

first one is choice 1 second one is choice 3

Pls answer this for me​

Answers

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

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

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

[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.

Pythagorean theorem

Answers

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.

Please this will determine if I pass

Answers

The answer is B through ASA (Angle-Side-Angle) similarity criterion.

Can someone write down the answers pls!!!!!!!!!!

Answers

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

I NEED HELP WORTH THIS there is one more option of 6,6 also

Answers

Answer:

C. (2,4)

Step-by-step explanation:

more on fraction

21×5​

Answers

Answer:

105.

Step-by-step explanation:

21+21+21+21+21=105.

heyy i need help on me hw​

Answers

Answer:

the answer is b

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

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

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?

Answers

Your first equation is 4x + 7y= 32, the x’s representing the brushes and the y’s the tubes of paint. Our second equation is 6x+8y=43. What I did is I multiplied the first equation by 1.5 so that it turns into 6x+10.5y=48. Then I subtracted the second equation from the first, canceling out the x’s and leaving us with 2.5y=5. Then divided and got y=2. We then go back to any of the original equations and plug it in to get the x’s.
6x+8(2)=43. We get 6x+16=43. We subtract and are left with 6x=27 and then x=4.5. Then plug both of them in to a different equation to double check. You could also use substitution by isolating one of the variables in one equation and then plugging it in to the other one.

Simplify the expression: 5(-5 + 2y) =
​

Answers

The answer is-25+ 10y

100 - 50 + 4

HELP PLS PLS PLSSSSS

Answers

Answer:

54

Step-by-step explanation:

100-50+4=50+4

=54

.....

6+x=23 what is x in the equation

Answers

the correct answer is x=17

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

2 1/3 x 3 5/6 please answer

Answers

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 picture is the question​

Answers

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 <

How many quarts are in two gallons?

Answers

2 gallons = 8 quarts

hope it's help ;3

I need some help
I will give you brainliest and heart!

Answers

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!

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?​

Answers

Answer:

Regina read for 2 1/4 hours or 2 hours and 15 minutes

Step-by-step explanation:

He read for 2 hours and 15 minutes

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:

Does anyone know the answer??????

Answers

Answer:

i think its the 2nd choice but im not 100% sure

which is the least -1 1/4 or -3/2

Answers

Answer:

-3/2

Step-by-step explanation:

The equation x = 1 is an example of linear but not function. Why?

Answers

Because there is more than two y values for x = 1

i need help with everything please if you help you are a legend please.

Answers

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)

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

the median is 25. you can put the numbers in order from least to greatest values and cross out one by one to make it easier! hope this helps :D
Other Questions
Please help me!! ill mark you brainliest. please actually answer all of em. what is the side length of a square given the area to be 625m Write an argumentative essay for or against maintaining traditional coming-of-age ceremonies, such as a bar mitzvah or a q Which kind of RNA constitutes part of a ribosome?Group of answer choicesmRNArRNAtRNAnone of the above what phase of matter changes volume when moved from one container to another ? Help me, not sure how to solve this, my teacher didn't teach us yet, and I want a solid understanding of it, so the answer will be great! Also will give the most brainliest! In the 1750s, Native American nations, the French and British got into a conflict over the Ohio River Valley. The land was valuable to all three groups. Native American nations such as the Anishinaabe, Ottawa, Delaware and some of the Iroquois had lived on the land for hundreds of years.The British colonists were running out of space on the East Coast and needed to expand. Some Virginia planters even got a charter from the king to start selling land along the Ohio River.The French liked the region because it had a lot of valuable game for trapping and was accessible by many waterways. The deputy governor of Virginia sent a young major named George Washington to ask the French to leave the area in 1753. The French refused. They chased Washington and his men away.How would you explain who claimed the territory of the Ohio River Valley? *11 pointsA. only the FrenchB. the British and the FrenchC. the British and many Native American nationsD. Native American nations, the French and the British How many grams of AlCl3 will be produced if 3.85 moles of Al react? Al + ___Cl2 ___AlCl3 John Toss said, "Union is strength, dissension is weakness, misery and ruin! In time of war, if war must come , fight together, as Brothers live; as Brothers die." What did he mean by this? Fast Co. produces its product through two processing departments. Direct materials are added at the start of production in the Cutting department, and conversion costs are added evenly throughout each process. The company uses monthly reporting periods for its weighted-average process costing system. The Work in Process Inventory-Cutting account has a balance of $89,300 as of October 1, which consists of $18,600 of direct materials and $70,700 of conversion costs. During the month, the Cutting department incurred the following costs: Direct materials$141,150Conversion 915,400At the beginning of the month, 32,500 units were in process. During October, the company started 145,000 units and transferred 155,000 units to the Assembly department. At the end of the month, the Cutting department's work in process inventory consisted of 22,500 units that were 80% complete with respect to conversion costs.Required: 1. Prepare the company's process cost summary for October using the weighted-average method. 2. Prepare the journal entry dated October 31 to transfer the cost of the completed units to finished goods inventory donde____mi mochila what conjugate of estar would you use and why? By applying Pythagorean theorem to the sides of the right triangle, which has sides as a, b and c, where c is thehypotenuse, we geta.) c^2= a^2+ b^2b.) c^2= a^2 b^2c.) c^2= a^2 - bd.) c^2= a^2+ b 1.a.Which Supreme Court case below challenged segregation in public schools and ended with the court declaringracial segregation illegal? 91Reynolds v. Simsb. Plessy v. FergusonC. Delgado v. Bastrop ISDd. Brown v. Board of Education Indigenous people are not your mascot What is the sum of the 12th square number and the 10th square number? BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE! Reflect the point (2, -4) over y = x to become... a) (-4, 2) b) (-2, 4) c) (-2, -4) d) (2, 4) Choose yes or no to tell whether each expression is equivelent to this expression -3(0.15-0.2+0.25p) please help me I am horrid at math! An independent variable isa.directly changed by the experimenter.b.manipulated by changes to the dependent variable.C.a variable that is kept constant.d.a variable that is used as a control.