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wlad13 [49]
2 years ago
9

Can someone simplify this?? ty! -(x-8)²+4

Mathematics
1 answer:
Sindrei [870]2 years ago
7 0

Answer:

-x² + 16x - 60

Step-by-step explanation:

Given expression:

  • -(x - 8)² + 4

Step 1. <u>Insert</u> brackets to isolate the "-" from the (x - 8)².

           ⇒ -(x - 8)² + 4

           ⇒ -[(x - 8)²] + 4

     

Step 2. <u>Use</u> the formula (a - b)² = a² - 2ab + b²

          ⇒ -[(x - 8)²] + 4

          ⇒ -[x² - 2(x)(8) + 8²] + 4

Step 3. <u>Open</u> the parenthesis

          ⇒ -[x² - 2(x)(8) + 8²] + 4

          ⇒ -x² + 2(x)(8) - 8² + 4

Step 4. <u>Simplify</u> as needed

          ⇒ -x² + 16(x) - 64 + 4

          ⇒ -x² + 16x - 60

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The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th
juin [17]

Answer:

52.5n+449.85

Step-by-step explanation:

The cost is given for <em>1 sweatshirt</em>. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85

This is the expression that represents the cost of 15 sweatshirts.

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3 years ago
What is the area of the paper used to wrap a can of soup if the can is 11 cm tall and has a diameter of 7.5 cm. Show all formula
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Notice that a can is a cylinder, which is basically two circles and one rectangle. Now, the question wants area of this rectangle.

You know the width of the rectangle (or the paper), which is 11cm. How do you find the length then?

Notice that the length of the rectangle is also the circumference of the circles. From here, use C = πd where C is circumference and d is diameter. The d is given, which is 7.5 cm. Depending on the question, π can be 3.14, 22/7 or the actual pi.

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6 0
3 years ago
E
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Answer:

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Step-by-step explanation:

I'm Sorry if this wrong.

5 0
3 years ago
What is the mechanical energy at the time of 2.5 and 20
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What is machanical energy

7 0
4 years ago
Can someone help me . many points. also plz explain your answer.
Oxana [17]
These are complementary angles, meaning they add up to 180
Let's write an equation
180=38 + 42 + (2x+10)
subtract 38 from both sides
142 = 42 + 2x + 10
subtract 42 from both sides
100 = 2x + 10
subtract 10 from both sides
90 = 2x 
divide both sides by 2
45 = x
Plug that back into the angle
2x+10
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90 + 10
100
The angle is 100 degrees.

To check:
180 =?= 38 + 42 + (2x+10)
180 =?= 38 + 42 + (2(45) + 10)
180 =?= 80 + (90 + 10)
180 =?= 80 + 100
180 = 180

Hope this helps :)

5 0
3 years ago
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