The fish eat about 12 ounces of food in 30 days. How many days would 50 ounces of food last

Mathematics

1 answer:

Sauron [17]3 years ago

5 0

Answer:

125 days

Step-by-step explanation:

$\frac{12}{30} =\frac{50}{x} \\\\12x=1500\\x= 125$

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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of

Ivan

A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80 subtract 80 from both sides

-125=25a divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80 add 5(x+5)^2 to both sides

5(x+5)^2=80 divide both sides by 5

(x+5)^2=16 take the square root of both sides

x+5=±√16 which is

x+5=±4 subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9

7 0

4 years ago

It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents th

Olin [163]

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

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3 years ago

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