Answer:
6 shirts
Step-by-step explanation:
The cost of a shirt and 2 ties is ...
$18.50 +2(7.50) = $33.50
For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.
Frank can buy 6 shirts (and 12 ties) for an amount less than $205.
_____
<em>Additional comment</em>
Frank's cost will be $201 for that purchase.
<h3>
Answer: <u>
100 ft</u>
is the hypotenuse</h3>
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Work Shown:
a = 60 and b = 80 are the two known sides
c is the unknown hypotenuse
Applying the pythagorean theorem gets us...
a^2 + b^2 = c^2
60^2 + 80^2 = c^2
3600 + 6400 = c^2
10,000 = c^2
c^2 = 10,000
c = sqrt(10,000)
c = 100
A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.
Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.
Answer:
D
Step-by-step explanation:
plug in (3,2) to see if it's a solution:
A) does -3(3) + 2 equal -7? yes
B) since 'A' is a solution then 'B' cannot be the answer
C) since (3,2) is a solution then 'C' cannot be the answer
plug in (2,-1) to see if it's a solution:
plug in (2,-1) to see if it's a solution:
-3(2) - (-1) equal -7? no, it equals -5
only (3,2) is a solution so the answer is D
Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
<u>Step 2: Find g(f(x))</u>
- Substitute: g(f(x)) = (x² + 6x + 7) + 2
- Combine like terms: g(f(x)) = x² + 6x + 9
