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xz_007 [3.2K]
3 years ago
7

What is the initial value for the function in the example problem? What is the rate of change?

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

initial value = 2 (the y-intercept), rate of change (also referred to as slope) = 1

Step-by-step explanation:

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Complete the square to find the minimum value of the expression 4x2 + 8x + 23.
Tcecarenko [31]
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19

I'm going to assume the given equation equals zero..

So, If we add subtract 19 from both sides of the equation we get the perfect square.

4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0

for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)

Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.


3 0
3 years ago
When he was born Frank weighed 4.2 kg.This was 500g more than Sally.What did Sally weigh at birth?​
Karolina [17]

Answer:

3.7kg

Step-by-step explanation:

4.2kg =4200

4200-500=3700

8 0
3 years ago
Select the correct answer.
Iteru [2.4K]

Option A: 6x^2+75x+200 is the correct answer

Step-by-step explanation:

The profit is obtained by subtracting the cost from the revenue.

Given

R(x) = 6x^2+100x+300\\C(x) = 25x+100

The Profit function will be obtained by subtracting the cost function from the revenue function

So,

P(x) = R(x) - C(x)\\= (6x^2+100x+300)-(25x+100)\\=6x^2+100x+300-25x-100\\=6x^2+100x-25x+300-100\\P(x)=6x^2+75x+200

Hence,

Option A: 6x^2+75x+200 is the correct answer

Keywords: Functions, function operations

Learn more about functions at:

  • brainly.com/question/982457
  • brainly.com/question/9817377

#LearnwithBrainly

6 0
3 years ago
The original price for the camera is 150 if a discount of 30% is given, what is the discounted price
bazaltina [42]

Hello,

The camera is $150

The discount is 30%

First multiply the % by 100 to get a decimal

150 * 0.30 = 45

-----------------------------------------------------------------------------------------------------------------

The Camera now costs $105

The discount price was $45

Hope this helps

-GoldenWolfX

3 0
4 years ago
Read 2 more answers
HRLPPPPP IM FAILING MATHH
Gemiola [76]
It’s the third one

B=50.27 cm
V=371.97
7 0
3 years ago
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