The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point

Answer:

take 1/4 to the other side since 1/2 and 1/4 are like terms then solve for X getting 16/5 as the answer

Have a wonderful time

Answer:

x=19/10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)

(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)

1/5x+0.1+5.24=3/2x+7/10x+1.54

(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)

1/5x+5.34=11/5x+1.54

Step 2: Subtract 11/5x from both sides.

1/5x+5.34−11/5x=11/5x+1.54−11/5x

−2x+5.34=1.54

Step 3: Subtract 5.34 from both sides.

−2x+5.34−5.34=1.54−5.34

−2x=

−19/5

Step 4: Divide both sides by -2.

−2x=−19/5

x= 19/10

Answer:

x= 19/10

Explanation:

Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.

An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.

Answer:

b

Step-by-step explanation:

Answer:

36,518

Step-by-step explanation:

You can subtract 63,482 from 100,000 to get your answer.

100,000-63,482 = 36,518

Answer:

igneous

Step-by-step explanation:

igneous rocks are made out of molten lava or magma

Answer:

sedimentary rock/igneous rock and Metamorphic rock

Step-by-step explanation:

Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.

So, we can say that AB / DE = BC / EC.

16 / DE = 12 / 9

12(DE) = 144

DE = 12

Hope this helps!! :)

Answer:

25

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The opposite of -3 is 3.

Answer:

Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.

A + B = 45

After that, make an equation out of the second sentence. "Difference" means subtraction.

A - B = 3

There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.

A + B = 45

A - B = 3

-------------

2A = 48

A = 24

Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.

A + B = 45

24 + B = 45

B = 21

This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!

Step-by-step explanation:

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Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

Answer:

90

Step-by-step explanation:

you can multiply anything here in any order.

you could first do 5 times -9

5 * -9 = -45

and then multiply the -2 to the -45

-2 * -45 = 90

The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

Learn more about Normal Distribution:

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Answer:

y=1/2x + 3

Step-by-step explanation:

The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!

Answer:

1) Yes, it is rational.

2) Yes, it is rational.

3) There are three repeating digits.

Step-by-step explanation:

Lets solve them in order.

1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:

An irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.

So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.

2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.

3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.

Estimates are used to make prediction about an actual value

The chart is given as:

Fruit     Cost                  Estimated

Apple   $1.75/pound     8.75

Orange $2.35/pound   9.40

Banana $1.50/pound    4.50

The number of pounds of each fruit Annie bought are:

[tex]Apples= 5[/tex]

[tex]Orange = 4[/tex]

[tex]Banana = 3[/tex]

(a) The estimated amount

To do this, we make use of the estimated column.

So, we have:

[tex]Estimated = \sum Cost \times Pounds[/tex]

[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]

Approximate the prices

[tex]Estimated =2*5+9*4+2*3[/tex]

[tex]Estimated =52[/tex]

Hence, Annie estimated spending $52

(b) The actual amount spent

To do this, we make use of the cost column.

So, we have:

[tex]Actual = \sum Cost \times Pounds[/tex]

[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]

[tex]Actual =48.25[/tex]

Hence, Annie actually spent $48.25

(c) The decision

By comparison, the estimated spending is greater than the actual amount spent.

Hence, your estimation is an overestimation

Read more about estimation at:

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Answer:

62•4=248

[tex]63^{4} =2^{24}[/tex]

Step-by-step explanation:

I didn't know which one you needed so here's both.

Answer:

29.40

Step-by-step explanation:

5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40

Answer:

D

Step-by-step explanation:

Answer:

down menus to choose steps in order to correctly solve

down menus to choose steps in order to correctly solve4k−6=−2k−16−2 for k.

Anw.

-2

ep.

4k - 6 = -2k - 16 -2

4k - 6 = -2k - 18

4k - 6 + 2k = -18

4k - 2k = -18 + 6

6k = -18 + 6

6k = -12

k = -2

Answer:

c

Step-by-step explanation:

both axes! PLS GIVE BRAINLIEST

Answer:

• If h(x) is 17, equate the whole function to 17

[tex]{ \tt{5x + 2 = 17}} \\ \\ { \tt{5x = 17 - 2}} \\ \\ { \tt{5x = 15}} \\ \\ { \boxed{ \tt{x = 3}}}[/tex]

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

Answer:

It's -30

Step-by-step explanation:

Combine like terms

 −  8  =  2 1 0

 −7  =  2 1 0

Divide both sides of the equation by the same term

− 7  =  2 1 0

-7a/-7 = 210/-7

You cancel the -7  on the left side and divide 210 by -7

and then 210/-7 is -30

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The value of the expression in blue is 18 times the value of the expression in red

I know this because the sum of y and z is multiplied by 18

Answer:

The value of the expression in blue is 18 times the value of the expression in red

I know this because the sum of y and z is multiplied by 18