Answer:
(-2, 5)
Step-by-step explanation:
The form you're trying to match is the vertex form of the equation of a parabola:
y = a(x -h)^2 +k . . . . . . . vertex (h, k)
You have ...
y = -4(x +2)^2 +5
Comparing forms, you see that a=-4, h=-2, k=5.
Then the vertex (h, k) is (-2, 5).
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
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The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
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Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
1ST Piece =======> 2x ======> 2 * 3 ft. ======> 6 ft.
2ND =========> 5x =======> 5 * 3 ft. ======> 15 ft.
3RD ==========> 4 Feet =======> 4 ft.
Sum ======> 25 Feet
Equation:
(2x + 5x) + (4) = 25
Let's solve your equation step-by-step.
2x + 5x + 4 = 25
Step 1: Simplify both sides of the equation.
2x + 5x + 4 = 25
(2x + 5x) + (4) = 25 (Combine Like Terms)
7x + 4 = 25
7x + 4 = 25
Step 2: Subtract 4 from both sides.
7x + 4 − 4 = 25 − 4
7x = 21
Step 3: Divide both sides by 7.
7x / 7 = 21 / 7
Answer ========> x = 3
Check:
(2x + 5x) + (4) = 25
2(3) = 6
5(3) = 15
3rd Piece = 4
Sum = 25
6ft. + 15ft. + 4ft = 25
25 = 25
Hope that helps!!!!!!!!!!!!! : )
Answer:
the measure of the missing length is 3 mi
Step-by-step explanation:
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Answer:
this is literally so easy just divide 4200 by 2 and you get 2100 hotdogs, simple mafs
Step-by-step explanation:
