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leva [86]
3 years ago
10

What is the product? (5r + 2) (3r -4)

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

15r² - 14x - 8

Step-by-step explanation:

  1. 5x * 3x = 15x²
  2. 5x * -4 = -20x
  3. 2 * 3x = 6x
  4. 2 * -4 = -8

Now add your products,

15x² + -20x + 6x + -8 = 15x² - 14x - 8

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The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar
Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) --->  the production cost, in thousands of dollars

we have

C(x)=-0.34x^{2} +12x+62

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> 0\leq x

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> 34.18 < x\leq 39.87

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0
3 years ago
Write as a decimal fraction of a cm (a) 5 mm (b) 8mm
lys-0071 [83]
1 mm = 0.1 cm

(a) 5 mm

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Fraction :- 5/0.5
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Decimal:- 10

(b) 8 mm

8 × 0.1 = 0.8

Fraction:- 8/0.8
8 ÷ 0.8 = 10
Decimal:- 10
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