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Arturiano [62]
2 years ago
7

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).​

Mathematics
2 answers:
viva [34]2 years ago
5 0

Answer:

-x2 + 2x + 8

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next, you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly, put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

vitfil [10]2 years ago
3 0

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - (x² - 7) ← distribute parenthesis by - 1

= 2x + 1 - x² + 7 ← collect like terms

= - x² + 2x + 8

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Billy is hiking in Colorado. He walks eastward four miles, then turns $60$ degrees northward and walks six miles. How far is he
nikklg [1K]

He is  2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles  eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

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5 0
2 years ago
Please help and thank you
Mariana [72]

Answer:

B.    l = (S - πr^2) / πr

Step-by-step explanation:

S = πrl + πr^2 solve for l

πrl = S - πr^2

  l = (S - πr^2) / πr

Answer is B.    l = (S - πr^2) / πr

7 0
3 years ago
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What is the value of x
Svet_ta [14]

Answer:

32

Step-by-step explanation:

Remark

Every triangle has 180 degrees as the total of its 3 angles.

Equation

x + 98 + 50 = 180

Solution

Combine the like terms on the left

x + 148 = 180

Subtract 148 fro both sides of the equation

x + 148- 148= 180 - 148

Combine

x = 32

x is 32 degrees in size

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First, calculate the discount.
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Step-by-step explanation:

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