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3 years ago

What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

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3 years ago

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The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

seropon [69]

Answer:

The maximum profit is reached with 4 deluxe units and 6 economy units.

Step-by-step explanation:

This is a linear programming problem.

We have to optimize a function (maximize profits). This function is given by:

$P=98D+72E$

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: $3D+2E\leq24$

- Paint hours: $0.5D+1E\leq8$

Also, both quantities have to be positive:

$D\geq 0\\\\E\geq0$

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

$(8;0) \rightarrow P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824$

The maximum profit is reached with 4 deluxe units and 6 economy units.

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3 years ago

More math and its my last question

vaieri [72.5K]

We know that ∠1 equals ∠3, from that we can find x:

$10x = 100 \\ x = 10$

The sum of ∠1 and ∠2 must equal 180°:

$10x + 10y + 20 = 180$

Since we already know x, we can solve for y:

$10 \times 10 + 10y + 20 = 180 \\ 10y + 120 = 180 \\ 10y = 60 \\ y = 6$

Result: x=10, y=6

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3 years ago

A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo

zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

therefore, the answer is letter b

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4 years ago

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

djyliett [7]

Answer:

$-3x-6 < -33$ and $-3x-6 \geq -6$

Step-by-step explanation:

we have

$-33 > -3x-6 \geq -6$

we know that

Compound inequality can be divided into two inequalities

$-33 > -3x-6$

rewrite

$-3x-6 < -33$

and

$-3x-6 \geq -6$

therefore

An equivalent form of the compound inequality is

$-3x-6 < -33$ and $-3x-6 \geq -6$

6 0

3 years ago

What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.