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2 years ago

6

Dexter drove 546 miles on one tank of gasoline. His car’s gas tank holds 15 gallons of gas. Find the average number of miles he

drove per gallon.

1 answer:

AlexFokin [52]2 years ago

4 0

546 mil / 15 gal = about 36.4 mil per gal

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What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

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2 years ago

Now suppose that you have 2 individual and identical oranges. give a generating function for selecting from the oranges.

sweet-ann [11.9K]

12 is the correct answer

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2 years ago

Find the missing angle.

sineoko [7]

Answer:

121

Step-by-step explanation:

31+90 = 121

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180 - 59 = 121

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2 years ago

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2) Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3 1/5 inches long and he put

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2 years ago