Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,
Simplify this.
Now we can find each angle measure.
So the angle labeled is the largest angle in the triangle.
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
c) 31
Step-by-step explanation:
Given: f(x) = 3x + 1
We are being asked to find the function's value for x = 10.
Substitute 10 as the value of x in the function:
⇒ f(x) = 3x + 1
⇒ f(10) = 3(10) + 1
⇒ f(10) = 30 + 1
⇒ f(10) = 31
Therefore, the function's value at x = 10 is 31.
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Answer:
No solution.
Step-by-step explanation:
8x - 4 = 2(4x - 4)
8x - 4 = 8x - 8
-4 = -8
-4 ≠ -8
