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2 years ago

What is the measure of <2?

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

8 0

Answer:

The answer is 142 degrees

Step-by-step explanation:

The two angles are corresponding, making them equal

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Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Veronika [31]

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

h=-1 means translate left one unit

k=5 means translate up 5 units.

Choose the first option: left 1 unit, up 5 units

3 0

2 years ago

Read 2 more answers

What is the inverse of the function below? f(x) = 2^x + 6

Helen [10]

The inverse of this function would be f(x) = $\frac{Log(x - 6)}{Log2}$ .

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = $2^{x}$ - 6 ----> Switch f(x) and x

x = $2^{f(x)}$ - 6 ----> Add 6 to both sides

x + 6 = $2^{f(x)}$ -----> Take the logarithm of both sides in order to get the f(x) out of the exponent

Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2

$\frac{Log(x + 6)}{Log2}$ = f(x) ----> And switch the order for formatting purposes.

f(x) = $\frac{Log(x + 6)}{Log2}$

And that would be your new inverse function.

6 0

2 years ago

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If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

gross pay $32,600 - 100%,
total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

Employee A receives 3.07% of gross pay in employee benefits.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

Employee B receives 3.34% of gross pay in employee benefits.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

Employee C receives 1.50% of gross pay in employee benefits.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

$\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.$

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0

3 years ago

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2(x+10)+10-4+5 How can I solve this

Taya2010 [7]

Answer:

start witg parentecees, then multiplication then addind and substracting

Step-by-step explanation:

2(x+10)+10-4+5 = 2x + 20 +10 -4 +5

2x+31 is the final answer

5 0

3 years ago

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trina planted 43 plants. she planted twice as many cucumbers as zucchini and eight more tomatoes than cucumbers. write and solve

Leto [7]

To answer this question you can create an equation in terms of the number of zucchini that were planted. Each other plant gives information that can relate to the number of zucchini plants.

# of cucumbers + # of tomatoes + # of zucchini
2z + 2z + 8 + z = 43
5z + 8 = 43
-8 -8
5z = 35
5 5
z = 7 plants

There were 7 zucchini plants, 14 (2 x 7) cucumber plants, and 22 (2 x 7 + 8) tomato plants.

5 0

3 years ago

Read 2 more answers