Part 1
<h3>Answer: 13</h3>
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Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
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Part 2
<h3>Answer: -11</h3>
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Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.
H(ft) = √ (13² - 4²) = 12.4
It is a right-angled triangle and the Pythagorean theorem applies.
THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.
h(ft) = √ (13² - 4²) = 12.4
Answer:
31.6m
Step-by-step explanation:
First, find area of the vessel [ (πr2h)/3 ]
Radius = 5.2/2= 2.6
Using Pythagorean theorem, find the height of the cone:
= 4.38
Area of vessel = = 56.88
Do cross multiplication using ratios:
1.8 = 1
56.88 =
= 31.6
Answer:it b
Step-by-step explanation:
Answer:
$4125
Step-by-step explanation:
Let 'a' represent the additional income Mrs. King must earn. In order for her disposable income to remain the same, we must have ...
(66000 +a)(1 -0.20) = 66000(1 -0.15)
66000 +a = 66000(0.85/0.80) = 66000(1 +0.05/0.80)
a = 66000(5/80) = 4125
Mrs King must earn $4125 more before tax to maintain her after-tax income.