Jake needs to buy 120beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the
1 answer:
You might be interested in
9514 1404 393
Answer:
≈ (3.578, 5.789)
Step-by-step explanation:
We can substitute for y and solve for x.
(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r
x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle
x^2 +((0.5x +4) -4)^2 = 16
(5/4)x^2 = 16
x = 8/5√5 . . . . multiply by 4/5 and take the square root
y = 0.5x +4
y = 4/5√5 +4
The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).
Answer:
No, Matt did not solve the equation correctly
Correct Answer: x = 8
Step-by-step explanation:
4(x + 2) = 30
Step 1: Distribute
4x + 2 = 30 This is his mistake, he should completely distribute 4
to x and 2
Step 2: Subtract 2 from both sides/Isolate x
4x = 28 This part is done correctly, but wrong because of Step 1
Step 3: Divide both sides by 4
x = 7 This is correct, but again, he messed up on Step 1
Step 1: Distribute
Remember to distribute 4 to all terms in the parenthesis.
4(x + 2) = 4(x) + 4(2)
= 4x + 8
4x + 8 = 30
Step 2: Subtract 8 from both sides/Isolate x
Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides (opposite operation of adding 8)
4x + 8 = 30
4x = 30 - 8
4x = 32
Step 3: Divide both sides by 4/Isolate x
Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself
4x = 32
4(x) = 32
x = 32 ÷ 4
x = 8
-Chetan K