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BabaBlast [244]
4 years ago
11

Factor out the GCF from the polynomial below. 15x^9 + 25x^8 + 55x^6

Mathematics
2 answers:
densk [106]4 years ago
7 0

Answer:

5x^6

Step-by-step explanation:

dangina [55]4 years ago
7 0

Answer:

5x^6(3x^3 + 5x^2 + 11)

Step-by-step explanation:

The GCF of 15, 25, and 55 is 5.

The GCF of x^9, x^8, and x^6 is x^6.

The GCF of the terms of the polynomial is 5x^6.

Now we factor it out of the polynomial by dividing each term of the polynomial by the GCF of the polynomial.

5x^6(3x^3 + 5x^2 + 11)

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Answer:

a is that correct

Step-by-step explanation:

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On a map, the distance between two cities is 4.3 centimeters. If the map scale is 1 cm = 25 km,
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4 years ago
A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant
Fiesta28 [93]

Answer:

Part A:

Find the attached

Part B:

y = 23.875x + 279.625

Part C:

Total Sales increase from one week to the next by $23.875. Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The restaurant's sales for the Monday of the 20th week is expected to be $757.13

Step-by-step explanation:

Part A:

The scatter-plot can be obtained from stat-crunch by following the given steps below;

The first step is to enter the data given into any two adjacent columns of Stat-crunch application.

Next, click on Graph then Scatter plot

In the pop-up window that appears, select the week column as the X variable and the Total Sales column as the Y variable

Click Compute. Stat-crunch returns the scatter-plot as shown in the attachment below.

Part B:

The total sales for week 5 is given as 399 while that of week 13 is 590. Therefore, we shall determine the equation for the line of best fit using the points;

( 5, 399) and ( 13, 590)

The first step would be to determine the slope of this line;

slope = (590 - 399)/ (13 - 5)

         = 23.875

The equation of the line in slope-intercept form is thus;

Sales = 23.875(Week) + c

We need to determine c, the y-intercept. We can use the point ( 5, 399);

399 = 23.875(5) + c

c = 279.625

The equation of the line of best fit is thus;

y = 23.875x + 279.625

Part C:

The slope of the equation for the lines of best fit was found to be 23.875. This value is positive which implies that the Total Sales increase from one week to the next by $23.875. The slope in regression is defined as the change in y for every unit change in x.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The equation  for the line of best fit was found to be;

y = 23.875x + 279.625

where y denotes the total sales and x the corresponding week. We are required to determine y when x is 20;

Y = 23.875(20) + 279.625

y = 757.125

Therefore, the restaurant's sales for the Monday of the 20th week is expected to be $757.13

6 0
3 years ago
If the weight of 12 sheets of thick paper is 40 g how many sheets of the same paper would weight 2 1/2 kg
wlad13 [49]

Step-by-step explanation:

40x=2500×12

x=(2500×12):40

x=750 sheets

6 0
3 years ago
Read 2 more answers
What is the vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7?
Mandarinka [93]
<span>hello :
اthe vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7 is :
</span>(-5,7) because when : x= - 5    ...f(-5) = |- 5 + 5| + 7 = 0+ 7 = 7
7 0
3 years ago
Read 2 more answers
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