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Arada [10]
3 years ago
14

Find the slope from the two points given: (0, -2) and (-6, 4)

Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

Step-by-step explanation:

here x1=0   y1=-2   x2=-6    y2=4

slope=y2-y1/x2-x1

=4-(-2)/-6-0

=4+2/-6

=6/-6

=-1

therefore slope=-1.

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Look for a pattern for the decimal 0.555, the value of the digit in the tenths place is how many times as munch as the value of
Galina-37 [17]
<span>the value of the digit in the tenths place is 5/10 or 0.5
</span>
the value of the digit in the thousandth place is 5/1000 = 0.005

0.5 = 100 x 0.005

Therefore, the value of the digit in the tenths place is 100 times as much as the value of the digit in the thousandth place
3 0
3 years ago
If f(x) = x 2 + 1, find f(a + 1). a 2+ 2 a + 2 a 2 + 2 a 2+ a + 1
goblinko [34]

2a+3

Step-by-step explanation:

5 0
2 years ago
House of Mohammed sells packaged lunches, where their finance department has established a
blagie [28]

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

  • (a) <u>R = -x² + 82·x</u>
  • (b) <u>$1,645</u>
  • (c) The graph of <em>R</em> has a maximum because the <u>leading coefficient </u>of the quadratic function for <em>R</em> is negative.
  • (d)  <u>R = -1·(x - 41)² + 1,681</u>
  • (e) <u>41</u>
  • (f) <u>$1,681</u>

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

  • <u>R = -x² + 82·x </u>

<em>Where, the constant term, c = 0</em>

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

  • The revenue when 35 lunches are sold, <em>R</em> = <u>$1,645</u>

(c) The given function for <em>R</em> is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function <em>R</em> is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}

Therefore, for the revenue function, the x-value of the vertex, is; \displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}

The revenue at the vertex is; R_{max} = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

  • The revenue equation in the form, a·(x - h)² + k is; <u>R = -1·(x - 41)² + 1,681</u>

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

  • The number of lunches that must be sold for the maximum revenue to be achieved is<u> 41 lunches</u>

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

  • <u>The maximum revenue of the company is $1,681</u>

Learn more about the quadratic function here:

brainly.com/question/2814100

6 0
2 years ago
I need some help with 22, 24, 25
valkas [14]
22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence
5 0
3 years ago
Read 2 more answers
Can someone tell me how do I solve this. how is the result 2.40
liubo4ka [24]

Step-by-step explanation:

<u>Properties used</u>

  • logₐ a = 1
  • log aᵇ = b log a
  • log ab = log a + log b

See the steps below

  • - log (4*10⁻³) =
  • - (log 4 + log 10⁻³) =        (log 4 ≈ 0.6 rounded)
  • - (0.6 - 3*log 10) =
  • - (0.6 - 3*1) =
  • - (0.6 - 3) =
  • - (- 2.4) =
  • 2.4
6 0
1 year ago
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