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Katarina [22]
3 years ago
9

The polynomials that are given are P(x)=

Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

Step-by-step explanation:

P(x)=  x³ - x² - 18

Q(x) = P(2x-1)

       = (2x-1)³ - (2x-1)² -18

       = (2x)³ - 3*(2x)² * 1 + 3*2x* 1² - 1³ - [ (2x)² - 2*2x*1 + 1 ] - 18

=8x³ - 12x² + 6x - 1 - [4x² - 4x +1 ] - 18

= 8x³ - 12x² + 6x - 1 - 4x² + 4x - 1  - 18

= 8x³ - 16x² + 10x - 20

Hint : (a-b)³ = a³-3a²b+3ab²-b³

(a-b)² = a² -2ab + b²

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5/8x - 11/2 = 3/4 <br> what does the x equal ?
Verizon [17]

Answer:

x=10

Step-by-step explanation:

5/8x - 11/2 = 3/4

Multiply each side by 8 to clear the fractions

8(5/8x - 11/2 = 3/4)

5x - 44 = 6

Add 44 to each side

5x-44+4= 6+4

5x= 50

Divide by 5

5x/5 = 50/5

x =10

6 0
2 years ago
A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish
NISA [10]

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

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3 years ago
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Pls help! 50 POINTS!
nirvana33 [79]

Answer:

See below.

Step-by-step explanation:

1)

So we have the equation:

2x+3y=1470

To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:

(2x+3y)-2x=(1470)-2x

The left side cancels:

3y=1470-2x

Now, divide both sides by 3. The left side cancels:

(3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490

The slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

Thus, the slope is -2/3 and the y-intercept is 490.

2)

So, since we already know the y-intercept is 490, plot a point at (0,490).

The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.

3)

To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.

y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490

This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.

For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.

4)

Please refer to the attached graph.

5)

First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.

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3 years ago
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Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the
Aloiza [94]

Answer:

$1632

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Hourly pay for Diego = $10.20

Weekly hours = 40 Hours

Basic earning = 10.20 × 40 = $408

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Total overtime = 8 hours

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Total earning for the week = 408 + 1224 = $1632

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3 years ago
For what values of x is x2 + 2x = 24 true?
Sophie [7]

x^2 + 2x = 24\\x^2+2x+1=25\\(x+1)^2=25\\x+1=5 \vee x+1=-5\\\x=4 \vee x=-6

8 0
3 years ago
Read 2 more answers
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