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kaheart [24]
2 years ago
15

place the following steps in order to complete the square and solve for the quadratic equation, x squared -6x +7=0

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
4 0
To solve the quadratic by complete square method we proceed as follows:
x²-6x+7=0
this can be written as:
x²-6x=-7
but
c=(-b/2a)^2
c=(-(-6)/2)^2=9
next we add 9 on both sides of our expression to get:
x²-6x+9=-7+9
x²-6x+9=2
factoring out the LHS we get:
(x-3)(x-3)=2
(x-3)²=2
getting the square root of both sides we obtain:
x-3=+/-√2
hence:
x=3+/-√2
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Answer:

1) (8,24)

2) (2,6); it represents how she walks 2 steps in 6 feet.

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3 years ago
An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional
ZanzabumX [31]
<h3>Answer:</h3>
  1. $2693.12
  2. $2125.00
  3. B) The area of the field is 10.24 times the area of the playground
<h3>Step-by-step explanation:</h3>

1. Each year the balance is multiplied by 1.09, so after 5 years, the balance is multiplied by 1.09^5 ≈ 1.53862395. Subtracting the original invetment amount gives the value of the interest earned.

... 5000 × 1.53862395 - 5000 = 5000 × 0.53862395

... ≈ 2693.12 . . . . matches choice D

2. The interest earned is given by the formula ...

... I = Prt . . . . .  where P is the principal, r is the interest rate, and t is the time period.

Filling in the given numbers, you have ...

... I = 2500×0.085×10 = 2125 . . . . matches choice B

3. The product of length and width is the area. If both length and width are multiplied by 3.2, then the area is multiplied by 3.2×3.2 = 10.24. The appropriate choice is B.


5 0
3 years ago
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How do I calculate 2/3 of 3/7
just olya [345]
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3 years ago
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Find dy/dx of y=csc(square root of x)
Vitek1552 [10]

Answer:

y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}}

Step-by-step explanation:

y = csc x

y' = -cot x csc x

y = \csc \sqrt{x}

y' = \dfrac{d}{dx} [\csc \sqrt{x}]

y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}

y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}

y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}

y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}}

5 0
2 years ago
Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card,
pantera1 [17]

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

7 0
2 years ago
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