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Viktor [21]
3 years ago
10

Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0

Answer:

(x-4)^{2}-11

Step-by-step explanation:

x² - 8x + 5 = x² - 8x + (16 - 16) + 5      {we just added 16 and subtractEd it }

                 = (x - 4)² - 16 + 5               {<u><em>Reason </em></u>:  x² - 8x + 16 = (x - 4)² }

                 = (x - 4)² - 11

bija089 [108]3 years ago
5 0

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

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Write a function to represent the set of ordered pairs.<br><br> {(2, -2), (3, 8), (4, 22), (5, 40)}
natali 33 [55]

Answer:

y = 2x² - 10

Step-by-step explanation:

We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).

<u>x</u>    <u> y</u>    <u>y/2</u>    <u>y/2 + 5 </u>

2   -2      -1           4

3    8       4           9

4  22      11          16

5  40    20         25

It looks like all y-values are multiples of 2.

Let's divide them by 2 (Column 3).

The numbers don't increase evenly. We may have a quadratic function.

If we add 5 to each quotient, we get a set of values equal to x² (Column 4).

y/2 +   5 = x²

y     + 10 = 2x²

y            = 2x² - 10

The function is y = 2x² - 10.

4 0
3 years ago
Use the graph that shows the solution to f(x)=g(x) .
n200080 [17]

Answer:

1.  x=3   x=1

2.  x=0

Step-by-step explanation:

We want f(x) to equal g(x)

f(x)=g(x)

1/(x-2) = (x-2)

Using cross products

1 = (x-2) * (x-2)

1 = x^2 -2x-2x+4

Subtract 1 from each side

1-1 = ^2 -2x-2x+4-1

0 = x^2 -4x+3

Factoring

What number multiplies to 3 and adds to -4

-3*-1 = 3

-3+-1 = -4

0= (x-3) (x-1)

Using the zero product property

x-3 =0     x-1=0

x=3   x=1



2.  f(x)=x^2+4x+2

g(x)=(1/2)^ x+1


From the graph,we can see they intersect at x=0

5 0
3 years ago
Write the equation of the circle with a radius 7 and center (13, 15).<br><br><br> HELP ASAP!!!
ruslelena [56]

Answer:

Option b is the correct answer

(x - 13)^2 + (y - 15)^2 = 49

Step-by-step explanation:

(x - 13)^2 + (y - 15)^2 = 7^2

(x - 13)^2 + (y - 15)^2 = 49

8 0
2 years ago
14570.7 to 3 significant figures​
NemiM [27]

Answer:

what

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which value of x makes the equation 2/3x-3=11 true?
harkovskaia [24]

Answer:

x = 21

Step-by-step explanation:

To see for what value of x is the equation true, we have to solve x.

\displaystyle \frac{2}{3} x - 3 = 11\\\\Adding \ 3 \ to \ both \ sides\\\\\frac{2x}{3} = 11 + 3\\\\\frac{2x}{3} = 14\\\\Multiply \ 3 \ to \ both \ sides\\\\2x = 14 \times 3\\\\2x = 42 \\\\Divide\ both\ sides\ by\ 2\\\\x = 42/2\\\\x = 21\\\\For \ x = 21\ the \ given \ equation \ is \ true.\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
7 0
2 years ago
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