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olga nikolaevna [1]
3 years ago
9

(V2.00)Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.​

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

The standard form of the quadratic equation is f(x)=-2x^{2}+12x-16

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

f(x)=ax^{2}+bx+c

we have

f(x)=-2(x-3)^{2}+2

convert to standard form

f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16

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The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the i
melisa1 [442]

The <em><u>correct answer</u></em> is:

$43.20

Explanation:

The formula we have is

c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal.  This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).

Since our tax rate is 8%, r = 8% = 8/100 = 0.08.  The price of the item is $40.  Using this information, we have:

c = 40(1.08) = $43.20

3 0
3 years ago
Read 2 more answers
What is 1986÷7 please help me
sertanlavr [38]
Step 1. Set up long division 

  _______
7| 1 9 8 6

Step 2. <span>Calculate 19 ÷ 7, which is 2 with a remainder of 5.

       2
</span>  _______
7| 1 9 8 6
    1 4
_________
       5
  Step 3. Bring down 8, so that 58 is large enough to be divided by 7.

       2
  _______
7| 1 9 8 6
    1 4
_________
       5 8

Step 4. <span>Calculate 58 ÷ 7, which is 8 with a remainder of 2.

</span>       2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_________
          2

Step 5. <span>Bring down 6, so that 26 is large enough to be divided by 7.

</span>      2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6

Step 6. Calculate 26 ÷ 7, which is 3 with a remainder of 5.
   
       2 8 3
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6
          2 1
       ______
             5

Step 7. <span>Therefore, 1986 ÷ 7 = 283 with a remainder of 5.

823 With a remainder of 5

Done!

</span><span>Decimal Form If Needed: 283.714286</span>
6 0
3 years ago
If f(x)=x+4 and g(x)=x^2-1, what is g(f(x))?
pickupchik [31]

g(f(x)) means plug in f(x) for every "x" in g(x).

g(f(x))=(x+4)^2-1=x^2+8x+16-1=x^2+8x+15

answer: x^2+8x+15

3 0
3 years ago
Multiply the binomials (x + 12)(x - 6) *
AysviL [449]

Step-by-step explanation:

(x + 12)(x - 6)

x2 - 6x + 12x - 72

x2 + 6x - 72

6 0
3 years ago
Read 2 more answers
Can you help me!!!!!!!!
liubo4ka [24]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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