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svetlana [45]
3 years ago
8

What are the values of x in the equation x-6x + 9= 25?

Mathematics
2 answers:
STatiana [176]3 years ago
4 0
Answer: x = -2 or x = 8

Explanation:

x^2 - 6x + 9 = 25
x^2 - 6x + 9 - 25 = 0
x^2 - 6x - 16 = 0
(x - 8)(x + 2) = 0

Set:
x - 8 = 0
x = 8

x + 2 = 0
x = -2
White raven [17]3 years ago
3 0

Answer: x=8 or x=-2

Step-by-step explanation:

It would be the first option on the test.

You should subtract 25 on both sides to get this equation x^2-6x-16 in order to factor.  There are three multiplication equations to get to the number 16 which is 1*16, 2*8, and 4*4.  1*16 wouldn't work since you would get either 17, 15 or -15, 4*4 would also not work since you would get +/-8 or 0, which would finalize our two numbers 2 and 8.

Since the c value is negative you would need to get one of your numbers negative which would be -8 since -8 + 2 = -6 which would factor out to (x-8)(x+2).  Subtract -8 and 2 for each x values to get 8 and -2.

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GenaCL600 [577]
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So
$6.58 is required to buy = 1 box
Then
With $46.06 one can buy = (46.06/6.58) boxes
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So with $46.06 a person can buy 7 boxes of tissue paper.
2. In this question it is given that Castle had spent $4.83 for buying a box of envelope. It is required to find the number of boxes of envelope Castle can buy with $38.64
Now
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5 0
3 years ago
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grandymaker [24]

Answer:

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Step-by-step explanation:

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Write the equation of a circle M(7, -10) and radius 2
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4 0
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A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)
iragen [17]

<u>Given</u>:

The height of the bird at time t is given by the function h(t)=-4.9t^2+6t+50

We need to determine the time it takes the worm to be eaten by the bird.

<u>Time taken:</u>

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

0=-4.9t^2+6t+50

Switch sides, we get;

-4.9t^2+6t+50=0

Let us solve the equation using the quadratic formula.

Thus, we get;

t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}

Simplifying, we get;

t=\frac{-6 \pm \sqrt{36+980}}{-9.8}

t=\frac{-6 \pm \sqrt{1016}}{-9.8}

t=\frac{-6 \pm 31.87}{-9.8}

The values of t are given by

t=\frac{-6 + 31.87}{-9.8}   and   t=\frac{-6 - 31.87}{-9.8}

t=\frac{25.87}{-9.8}    and   t=\frac{-37.87}{-9.8}

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Since, the value of t cannot be negative, then t=3.9

Thus, the time taken by the bird to eat the worm is t=3.9 seconds.

Hence, Option B is the correct answer.

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The graph would look like the picture below

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