Two water balloons were launched into the air at different moments and collided. the water balloons were modeled by the quadratic functions: y = −7x2 26x 3 and y = −6x2 23x 5, where y represents the height in meters and x represents the time in seconds after the launch. 2.0 seconds is the time, in seconds, that the balloons collided at the highest point
The time in seconds that the balloons collided at the highest point is; B: 2.0 seconds
We are told that the water balloons were modeled by the quadratic functions:
y = -7x² + 26x + 6 and y = -6x² + 25x + 4
where;
y = the height in meters
x = the time in seconds after the launch
The time at which they will collide has to be at the same height.
Thus;
-7x² + 26x + 6 = -6x² + 25x + 4
Rearranging this gives;
x² - x - 2 = 0.
Using an online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds
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Answer:
A. y = x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept
<em>It gives us the slope, so we can plug that in:</em> y = x + b
<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>
y = x + b
7 = (0) + b
7 = b
<em>Last, complete our equation:</em>
y = x + b
y = x + 7
This is a round robin style tournament. Given that there are 25 people, and order doesn't matter meaning that the combination AB is equivalent to BA you must use the choose formula.
Thus the answer should be 25C2 or
<em>25! / [(25-2)! * 2!] = 300</em>
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, <em>a coupon is a voucher entitling the holder to a discount off a particular product</em>. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
<em>Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is</em>
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
<u>The total percent of reduction 10+40= 50%</u>
<u>This is equal to a discount on the sales price</u>
Answer:
y =74x
Step-by-step explanation:
A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.
What do we do to the values in the row for x to get the values in the row of y?
It helps to have x = 1 in this table.
74 = (k)(1)
74 = k