Answer:
x 
4
Step-by-step explanation:
4x^2 - 64 0 ; move 64 over
4x^2 64 ; divide by 4
x^2 16 ; take square root of both sides
x 4
I believe the answer is the second option because they are all divisible by 4. Hope i helped.
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Answer:
2 to 1 or 2:1
Step-by-step explanation:
For everyone 2 banana muffins, the baker sells 1 blueberry muffin. 60 x 2 = 120
Answer:
y = 3x + 5
Step-by-step explanation:
The slope of this line is (11 - (-4)) / (2 - (-3))
= 15/5 = 3
Now we use the point slope form of an equation:-
y - y1 = m(x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
y = 3x + 5 (answer)
You haven't listed the possible solutions, so in the immediate present I can help only by suggesting that you try solving this system and checking your own answers thru subst. into the given equations.
Please be sure to use "^" to indicate exponentiation, as shown below:
<span>4x2 + 9y2 = 72 should be 4x^2 + 9y^2 = 72 (this is the eq'n of an ellipse)
x - y2 = -1 should be x - y^2 = -1 (this is the equation of a parabola)
We must eliminate either x or y. I will solve the 2nd equation for y^2 and subst. the result into the first eq'n.:
y^2 = x+1. Subst. this into the first equation,
</span>4x^2 + 9y^2 = 72 becomes 4x^2 + 9(x+1) = 72.
Expanding, 4x^2 + 9x + 9 = 72, or 4x^2 + 9x - 63 = 0
We must solve this quadratic equation to obtain the x-coordinates of possible solutions of the original system of equations.
-9 plus or minus 33
After some work, we get x = ------------------------------
8
So x = 24/8 = 3, or x = -42/8 = -5 1/4 or -21/4
Check out x=3. We already have the relationship y^2 = x+1. If x = 3, then y^2 = 3+1 = 4, and y is plus or minus 2.
Two possible solutions of the original set of equations are thus (3,2) and (3,-2). You MUST check both solutions thru substitution to determine whether they satisfy the original equations or not.
