1) This equation is a polynomial to the second power, so lets use the quadratic formula.
<span>[ -B +- squareroot(B^2 - 4AC) ] / 2A -A bit hard to read without the actual format. </span>
<span>= [ -20 +- squareroot( 20^2 - (4)(-5)(60) ) ] / (2)(-5) -A corresponds to -5, B to 20, and C to 60. Plug in. </span>
<span>= [ -20 +- squareroot(400 - (-1200) ) ] / (-10) - Simplifying.... </span>
<span>= [-20 +- 40] / (-10) </span>
<span>Because there is a plus/minus we now have two equations. </span>
<span>= [-20 - 40] / (-10) and = [-20 + 40] / (-10) </span>
<span>= 6 = -2 </span>
<span>Now in case you aren't extremely familiar with the quadratic equation, by plugging in each piece and solving, we get the two x-intercepts that this parabola equation crosses and a graph. Lucky for us, this means that the two numbers we solved for is equal to the time at which this object touches the ground. </span>
<span>Common sense solves the rest. You cant have negative time so -2 is off our list. </span>
<span>****That means it will take 6 seconds for this object to hit the ground. ***** </span>
<span>2) We have f(x)=2x+12 and x is the amount of movies, and this function gives us the cost of the rental. </span>
<span>She requires 7 movies, so all we have to do is simply plug in 7 for x. </span>
<span>f(x) = 2x + 12 </span>
<span>= 2(7) + 12 </span>
<span>= 14 + 12 </span>
<span>= $26 -So the cost for 7 movies will be $26. </span>
<span>We know she already has $10 so we just subtract $26 - $10 and we get $16. </span>
<span>**** In order for her to rent 7 movies, makayla needs $16 more dollars.****</span>
Step-by-step explanation:
if 4x = 60
Then
x = 60 / 4
x = 15
Hope it will help :)❤
Answer: (-4, -7)
I dont know how to explain how I got that but I recommend using an app called Desmos. :)
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Answer:
<h2>See the explanation and the image.</h2>
Step-by-step explanation:
The inequality means .
y = 0, satisfies the above inequality, so the arrows will be towards the x axis.
Now, we need to draw 5x < 8 + 4y.
First, lets draw the equation of 5x = 8 + 4y.
y = 1 gives x = 2.4 & y = 0 gives x = 1.6.
Hence, the above equation passes through (2.4, 1) and (1.6, 0).
The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.
The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.