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Crazy boy [7]
3 years ago
10

Multiply (2x-5)(3x^2-4x+2)

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

\large\boxed{(2x-5)(3x^2-4x+2)=6x^3-23x^2+24x-10}

Step-by-step explanation:

\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x-5)(3x^2-4x+2)\\\\=(2x)(3x^2)+(2x)(-4x)+(2x)(2)+(-5)(3x^2)+(-5)(-4x)+(-5)(2)\\\\=6x^3-8x^2+4x-15x^2+20x-10\\\\\text{combine like terms}\\\\=6x^3+(-8x^2-15x^2)+(4x+20x)-10\\\\=6x^3-23x^2+24x-10

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A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that
USPshnik [31]

Answer:

$204

Step-by-step explanation:

The question is at what price x will the company maximize revenue.

The revenue function is:

R(x) = 4,080x-10x^2

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

R(x) = 4,080x-10x^2\\\frac{dR(x)}{dx}=0=4,080-20x\\x=\frac{4,080}{20}\\ x=\$204

The company will maximize its revenue when the price is $204.

7 0
3 years ago
yesterday Clara reached 4 people in 10 phone calls while toby reached 3 people in 8 phone calls. if they continue at those rates
laiz [17]
Clara will she will have 16 phone calls while Toby will have 15
8 0
3 years ago
Subtract (-8+2x^3) from (3x^3-4-3x)
Harman [31]

\to \sf(3x^3-4-3x) - (-8+2x^3)

\to \sf(3x^3-4-3x)  + 8 - 2x^3

\to \sf3x^3-4-3x  + 8 - 2x^3

\to \sf3x^3 - 2x^3-3x  +4

\to \sf x^3-3x  +4

3 0
3 years ago
Read 2 more answers
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
3 years ago
)) Find the slope of the line that passes through (10, 1) and (1, 3).
irinina [24]

Answer:

Slope (m)

-0.2222

m = 2 / -9 = -0.222

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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