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Dafna11 [192]
4 years ago
6

Rewrite the function by completing the square. f(x) = x2 – 10x + 44 + f(x) = (x+

Mathematics
1 answer:
iVinArrow [24]4 years ago
8 0

Answer:

f(x)=(x-5)^{2}+19

Step-by-step explanation:

we have

f(x)=x^{2}-10x+44

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-44=x^{2}-10x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-44+25=x^{2}-10x+25

f(x)-19=x^{2}-10x+25

Rewrite as perfect squares

f(x)-19=(x-5)^{2}

f(x)=(x-5)^{2}+19

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Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% w
leonid [27]

Answer:

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

35 = 0.67x - 0.08x

35 = 0.59x

x = 35/0.59

x = 59.32

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

4 0
3 years ago
What is the remainder of 32 divided by 5
erica [24]

Answer:

6 with a remainder of 4

Step-by-step explanation:

32/5 = 6.4

4 = remainder

8 0
3 years ago
Read 2 more answers
If a triangle has side lengths 7, 10, and 12, is it a right triangle??
Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, a^2 + b^2 = c^2

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, 7^2 + b^2 = 12^2 or 10^2 + b^2 = 12^2

7^2 + b^2 = 12^2 ==> 49 + b^2 = 144 ==> <u>b= </u>\sqrt{95<u> ==> </u><u>9.746</u>

b= 9.7, not 10.

10^2 + b^2 = 12^2 ==> 100 + b^2 = 144 ==> <u>b = </u>\sqrt{44<u> ==> </u><u>6.633 </u>

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0
3 years ago
Any one help me with this plsss and ni links plss!!
Bas_tet [7]

Answer:

6. D.

7.  F.

8. A.

9. B.

10. C.

Step-by-step explanation:

6.     9 + (12 - 10)

       12 - 10 = 2

        9 + 2 = 11

7.      (20 - 15) x 2

        20 - 15 = 5

         5 x 2 = 10

8.      10 ÷ 5 + 7

         10 ÷ 5 = 2

          2 + 7 = 9

9.        6 + 2 x 3

           2 x 3 = 6

           6 + 6 = 12

10.        (2 x 4) + 8

             2 x 4 = 8

             8 + 8 = 16

Let me know if this helps!

4 0
3 years ago
Simplify:
Dennis_Churaev [7]

Step-by-step explanation:

5^5•5 = 5^3

y^2/y= y^1 =y

a^2•a^3•a= a^6

b^5/b^7= b^-2

y^5/y^4=y

m^3•m^5•m^2=m^10

8 0
3 years ago
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