The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation

Answers

Answer 1

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer 2

Answer:

rotation

Step-by-step explanation:


Related Questions

When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.

Answers

Answer:

= $5530  

Finds us 8.2%

Step-by-step explanation:

if 8.2 was recommended for utilities then we need to find 8.2% of $65,000

We take 65000 x 0.082 = 5530

Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.

We write it as $5,530 in pen and type in whole amount as $ 5530.

Answer:

$5,330

Step-by-step explanation:

Read this statement:

"The McKinneys' annual income is $65,000."

Now, read this statement:

"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"

Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.

8.2% of $65,000 = 0.082 * $65,000 = $5,330

What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?

Answers

Answer:

Look at the attachment


One year, a farmer harvested 50,000 bushels of wheat on her family farm.
Three years later, she harvested 12,000 more bushels of wheat from the
same fields. How much wheat did she harvest that year?
A. The change in the amount of wheat harvested
B. The amount of wheat harvested in the later year
C. The area of the farm

Answers

Answer: A hope it helps

i think its a

What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8

Answers

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Simplify sqrt of 75x^6y^11 to the form a sqrt of b

Answers

Answer:

2121221

Step-by-step explanation:

Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°

Answers

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !

Answers

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

Solve the following equation. Then place the correct number in the box provided.

7x=84

x=?

Answers

Answer:

7x=84

divide by 7

12=x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.


Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?

a. X = (25.92 - 2.57) = 5

b. x = 25.92 = 5 + 2.57

c. X = (25.92 +2.57) = 5

d. x = 25.92 - 5 -2.57

Answers

Answer:

a. X = (25.92 - 2.57) ÷ 5

Step-by-step explanation:

shld be a divide sign instead of a equal sign before 5

Use the graph to find the solution to this system of linear equations.

Answers

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

What is unique about an equilateral triangle? *

Answers

Answer:

Option A

Step-by-step explanation:

An equilateral triangle's sides are equal to each other, and all their angles are equal.

The best option is A.

What makes the other answers wrong:

All angles in a equilateral triangle are 60° each. They are not obtuse.

All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.

All sides of a equilateral triangle are congruent.

each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?

Answers

Answer:

2

Step-by-step explanation:

7 1/2 - 5 1/2

7.5 - 5.5

2

1a) What is the side length of the following square? *


Answers

Answer:

4 unit cubes

Step-by-step explanation:

Answer:

Exact: 2sqrt(5)

Approximate: 4.472

Step-by-step explanation:

The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.

c^2 = a^2 + b^2

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

c = sqrt(20)

c = sqrt(4 * 5)

c = 2sqrt(5) = 4.472

john gave brandon five dollars and 13 cents now he has 25 dollars how much did he have

Answers

Answer:
Brandon originally had $19.87

Explanation:
To find out how much Brandon originally had we need to subtract 25 from 5.13.

25 - 5.13 = 19.87

So, he originally had $19.87.

What is the value of p?

Answers

Answer:

p = 50°.

Step-by-step explanation:

To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.

Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:

180 - 140 = 40°.

Repeat this same step for the other angle.

180 - 90 = 90°.

Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.

180 - 90 - 40 = 50°.

Therefore, p = 50°.

Mr. Davis has 15 students in his class he wants to send three of his students to pick up books for the class how many combinations of students can he choose

Answers

Answer:

45 combinations

Step-by-step explanation:

15*3= 45

Find the radius round your answer to the nearest tenth

Answers

Answer:

r = 3m

Step-by-step explanation:

Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation

Divide both sides by [tex]\frac{4}{3}[/tex]

[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]

Take the cube root of both sides

[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r

Substitute V = 36[tex]\pi[/tex] into the equation

r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]

Expand the bracket

r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]

Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)

r = [tex]\sqrt[3]{27}[/tex]

The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27

r = 3

ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870

Answers

Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

The missing angle is 67°.  (A)

EVERY quadrilateral has four inside angles that add up to 360°.  It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?

Answers

Answer:

7 inches

Step-by-step explanation:

250.4/36= 6.955555 rounded to nearest inch is 7


Consider 2.25t + 5 = 13.5t + 14


Write the resulting equation after moving the 2.25t to the right side

If 13.5t is moved to the left side, what is the resulting equation?
--------------------------------------------------------------------------------
Andre and Diego were each trying to solve 2x + 6 = 3x -8.

Describe the first step they each make to the equation.

Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8

Answers

Answer:

5 = 11.25t +14-11.25t +5 =14Andre moved  3x to the left.Diego moved  3x to the right

Step-by-step explanation:

Moving the 2.25t to the right side

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

Moving the 13.5t to the left side

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

Andre moved  3x to the left.

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

Diego moved  3x to the right

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.

Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2

63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

Answers

so I think the the answer C or 3

Human:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

I WOULD APPRECIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

I need help please!!!!!!!

Answers

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°

Answers

Answer:

20 degrees

Step-by-step explanation:

This is a linear pair, whose sum always equals 180 degrees,

hence, we can set up the equation:

2z+140=180

2z=180-140

2z=40

z=40/2

z=20

Thus, the answer is 20 degrees

Answer:

z = 20°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

2z+ 140 = 180

Subtract 140 from each side

2z+140-140 = 180-140

2z = 40

Divide by 2

2z/2 = 40/2

z = 20

I need help ASP on this

Answers

Answer:

2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."

The answer is B.

Answer:

B

Step-by-step explanation:

How many roots does (x+10)^9 have. Please explain how u did it.

Answers

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10

Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y = 0.5(3)x y = −3(24)x

Answers

Answer:

Option B.

Step-by-step explanation:

The given exponential equation is

[tex]y=ab^x[/tex]  ...(1)

It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).

The graph passes through the point (-3,24), so substitute  x=-3 and y=24 in equation (1).

[tex]24=ab^{-3}[/tex]   ...(2)

The graph passes through the point (-2,12), so substitute  x=-2 and y=12 in equation (1).

[tex]12=ab^{-2}[/tex]   ...(3)

Divide equation (3) by equation (2).

[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]

[tex]0.5=b[/tex]

Substitute b=0.5 in equation (2).

[tex]24=a(0.5)^{-3}[/tex]

[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]

[tex]24=\dfrac{a}{0.125}[/tex]

[tex]24\times 0.125=a[/tex]

[tex]3=a[/tex]

Substitute a=3 and b=0.5 in equation (1).

[tex]y=3(0.5)^x[/tex]

Therefore, the correct option is B.

Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.

Answers

Answer:

Step-by-step explanation:

Prove that for any natural number 3^(n+4)-3n is divisible by 16.

(I'm going to assume that you mean 3^(n+4)-3^n.)

1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).

2. Solve to get 3^n * 81 - 3^n

3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)

        You may notice that 80 is divisible by 16.

4. Rewrite what we got from the last step as: 3^n*5(16).

Hope this helped you!

The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5

What is the proof that the number is divisible?

We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is; (3ⁿ⁺⁴ - 3ⁿ)/16

From laws of indices, we know that;

aᵐ⁺ⁿ = aᵐ × aⁿ.

Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.

Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;

((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)

3ⁿ(80/16) = 3ⁿ × 5

The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.

Read more about proof of numbers at; https://brainly.com/question/10657323

-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.

Answers

Answer:

Step-by-step explanation:

D=5^2-4*(-7)*2

D=25+56

D=81

two real rational solutions, since 81 is a perfect square

Can someone please help

Answers

The answer is B) Translation, Congruent
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