A tank is filled with 2 gallons of propane. The tank is being used to fuel a heater that uses propane at a rate of 0.5 gallons p
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We have been given that function is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form , where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:
The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).
<h3>After 6 weeks from now you will have $190 in your bank account</h3>
<em><u>Solution:</u></em>
Given that,
You have $55 in your bank account
Each week you deposit $8 from your allowance and $15 from your paycheck
<em><u>The equation that gives the amount b in your account after w weeks is:</u></em>
b = 55 + (15 + 8)w
<em><u>How many weeks from now will you have $190 in your bank account ?</u></em>
b = 190
w = ?
Therefore,
190 = 55 + (15 + 8) w
190 = 55 + 23w
23w = 190 - 55
23w = 135
Divide both sides by 23
Thus after 6 weeks from now you will have $190 in your bank account