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Sedbober [7]
2 years ago
6

The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?

Mathematics
1 answer:
Orlov [11]2 years ago
8 0

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Need some help!<br> please be specific on how to do it
Katyanochek1 [597]

Answer:

Your first step in solving the system would be to substitute the value of a variable into one of the equations

Step-by-step explanation:

We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations

If we were to insert -1/3x + 4 for y, our new equation would be:

x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)

4 0
2 years ago
Order of Operations
Rufina [12.5K]

9 - (a - 7)

Note that - = -1

First, distribute - 1 to all terms within the parenthesis

-1(a - 7) = -a + 7

9 - a + 7

Combine like terms

9 + 7 = 16

-a + 16, or A. 16 - a is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
0.9d-2.1f<br> Helpp!!❗‼️
IceJOKER [234]

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3-8.1

=7.2

8 0
3 years ago
Rebecca has 3 pairs of running shoes.She bought new shoelaces for each pair.How many shoelaces did she buy?
kvasek [131]

Answer: 6 shoelaces

Step-by-step explanation:

Since 1 pair of shoes has 2 shoelaces, 3 x 2 = 6

3 pairs x 2 shoelaces = 6 shoelaces

Hope this helped!

P.S. PLS give brailiest! I only have one brainliest!!

4 0
3 years ago
Read 2 more answers
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