Answer:
The equation is a function
Step-by-step explanation:
-3x + 8 = y
Reverse the function.
y = -3x + 8
Draw a graph of y vs x (below)
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
Answer:
(b) –4g^4 – 3g^3 + 4g^2 + 5g + 3
Step-by-step explanation:
The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.
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<h3>Combine Like Terms</h3>
g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given
The like terms are the g^2 terms and the constants.
= (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)
= 4g^2 +(–4g^4) +5g +3 +(–3g^3)
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<h3>Write in Standard Form</h3>
In this form, the terms are written in order of decreasing degree.
= –4g^4 –3g^3 +4g^2 +5g +3
Answer: $33.48
Step-by-step explanation:
Given that:
Capacity of car tank =. 16 gallons
Gallons of already filled = 6.6 gallons
Amount left of tank capacity = 16 - 6.7
Amount left of tank capacity = 9.3 gallons
Cost of gas per gallon = $3.60
Hence, amount spent in gas will be
Amount left of tank capacity * cost per gallon of gas
= 9.3 gallons * $3.60
= $33.48
Total amount spent on gas = $33.48
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Answer:
$8511.11
Step-by-step explanation:
Each year, the amount Walter owes is multiplied by 1.06, so at the end of 6 years, Walter owes 1.06^6 times the amount he borrowed.
he will pay $6,000×1.06^6 ≈ $8511.11
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At the end of the first year, Walter owes the original loan amount plus 6% interest. That total is ...
$6000 + 0.06×6000 = $6000×1.06
At the end of the following year, he owes 1.06 times that amount, or ...
6000×1.06²
The amount owed is multiplied by 1.06 each year until Walter pays off the loan.
Answer:
x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z
Step-by-step explanation:
Solve for x:
cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -0.7
-0.7 = -7/10:
cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -7/10
Reduce trigonometric functions:
-sin(4 x) = -7/10
Multiply both sides by -1:
sin(4 x) = 7/10
Take the inverse sine of both sides:
4 x = π - sin^(-1)(7/10) + 2 π n_1 for n_1 element Z
or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z
Divide both sides by 4:
x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z
Divide both sides by 4:
Answer: x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z
