Y=3x^2+3x-5. and 2x-y=3
x=-.8 so y=4.6
Answer:
500 Elm: Cafe
524 Elm: Grocery
538 Elm: Boutique
544 Elm: Dance studio
Step-by-step explanation:
We know that the dance studio has the highest address, so 544.
For the others let's examine the possibilities.
The boutique is between the cafe and the studio, that means the following are possible:
Boutique can be at either 524 or 538, cannot be at 500 (since cafe has to be on the its left.
Cafe can be 500 or 524, cannot be 538 since boutique has to be between cafe and studio.
<u>The grocery is between the cafe and boutique. </u>Meaning the grocery cannot be 500 nor 538, since it has to be in the middle of the 3 remaining businesses. So, grocery is at 524.
Meaning the Cage is at 500 and the boutique is at 538.
Answer:
The scale factor is 
Step-by-step explanation:
we know that
The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual
so

Answer:
its a
Step-by-step explanation:
<span>Highest point = 1406.25
Number of seconds = 9.375
We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375
So let's calculate the height at t = 9.375.
y = -16t^2 + 300t
y = -16(9.375)^2 + 300(9.375)
y = -16(87.890625) + 300(9.375)
y = -1406.25 + 2812.5
y = 1406.25
So the highest point will be 1406.25 after 9.375 seconds.
Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.'
y = -16t^2 + 300t
y = -16(9.375 + e)^2 + 300(9.375 + e)
y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e)
y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e
y = 1406.25 - 16e^2
Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>