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fomenos
2 years ago
14

The equation h(x) = -3x^2 +75 models the height of an acorn as it falls from a tree 75 feet above the ground after each second,

x. After how many seconds does it hit the ground?
Mathematics
1 answer:
OleMash [197]2 years ago
5 0

Answer:

this is lots of words that my brain can't understand :/

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2x+9y=27<br> x-3y=-24<br> It’s substitution
harkovskaia [24]

Answer:

x = -9, y = 5

Step-by-step explanation:

Since we need to solve this system of linear equations by substitution, let's transform the second equation into the form, x = ay + b. We start off with x - 3y = -24, subtract 3y from both sides, and we get x = 3y - 24. Then, substitute the expression 3y - 24 for y in 2x + 9y = 27.

2(3y - 24) + 9y = 27    Substitute 3y - 24 for x.  

6y - 48 + 9y = 27        Distribute 2.

15y = 75                      Add & subtract to combine the like terms.

y = 5                            Divide by 15.

Now that we have the value of y, we can find x by substituting 5 for y in any of the equations. Let's use 2x + 9y = 27 for example.

2x + 9(5) = 27             Substitute 5 for y.

2x + 45 = 27               Multiply.

2x = -18                       Subtract.

x = -9                          Divide by 2.

7 0
2 years ago
Solve<br><br> 25X+30= -22 -X
Igoryamba
X= -2

25x+30= -22 -x
*subtract 30 from -22*
25x= -52
*divide 25 from each side*
x= -2
3 0
3 years ago
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