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gtnhenbr [62]
3 years ago
5

What value is added to both sides of the equation x2 − 4x = −2 in order to solve by completing the square? 4, 2 , −2 , −4

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0
X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer:  x = 2 + sqrt(2) or x = 2 - sqrt(2)
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dimaraw [331]
5 1/2 = 11/2
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answer is B. 4 1/8
8 0
3 years ago
F(x) = x ^ 2 - 8x + 7
bekas [8.4K]
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
5 0
3 years ago
Two planes 2800km apart start flying towards each other at the same time. They meet 3.5 hours later. One plane flies 75km/hour f
uranmaximum [27]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Help me plz thx<br> jkjl;jkl;jkl;jl
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Answer:

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Step-by-step explanation:

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4 years ago
Christopher bought 1 1/2 pounds of ham at the deli. He used 3/4 of the ham for sandwiches.
KatRina [158]

Answer:

31/2 pounds of ham

Step-by-step explanation:

times the denominator by the mixed number.

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