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Goshia [24]
2 years ago
15

6k^3+10k^2−56k and 5(7k−3)(3k−7)share a common binomial factor. What binomial factor do they share?

Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer:

Step-by-step explanation:

6k^3+10k^2-56k\\2k(3k^2+5k-28)\\=2k[3k^2+12k-7k-28]\\=2k[3k(k+4)-7(k+4)]\\=2k(k+4)(3k-7)

common factor is 3k-7

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There are 640 calories in 4 scoops of ice cream. At this rate, how many calories would there be in 9 scoops of ice cream?
lapo4ka [179]

Answer:

1,440 calories

Step-by-step explanation:

Divide 640 by 4 to get how many calories there are per scoop.

640 calories ÷ 4 scoops = 160 calories per scoop

Then, we can multiple 160 by 9 to get the calories in 9 scoops.

160 calories per scoop × 9 scoops = 1,440 calories per 9 scoops

7 0
2 years ago
Read 2 more answers
The correlation coefficient r between the values assumed by two variables, X
Flura [38]

The slope of the line of best fit to the raw-score scatter plot is 0.98

  • The equation is y = 0.98x - 3.74
  • The value of y given that x = 12 is 8.02

<h3>How to determine the slope of the line?</h3>

From the question, we have the following parameters that can be used in our computation:

  • Standard deviations of X, Sx = 1.88
  • Standard deviations of Y, Sy =2.45
  • Correlation coefficient, r between X and Y = 0.75

The slope (b) of the line is calculated as

b = r * Sy/Sx

Substitute the known values in the above equation, so, we have the following representation

b = 0.75 * 2.45/1.88

Evaluate

b = 0.98

<h3>The equation of the line of best fit</h3>

A linear equation is represented as

y = bx + c

Where

Slope = b

y-intercept = c

In (a), we have

b = 0.98

So, we have

y = 0.98x + c

Recall that the point (13, 9) is on the line of best fit.

So, we have

9 = 0.98 * 13 + c

This gives

9 = 12.74 + c

Evaluate

c = -3.74

So, we have

y = 0.98x - 3.74

<h3>The value of y from x</h3>

Here, we have

x = 12

So, we have

y = 0.98 x 12 - 3.74

Evaluate

y = 8.02

Read more about line of best fit at

brainly.com/question/1564293

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4 0
1 year ago
Help mee<br> please.......................... :3 :3
cluponka [151]
14) Since f=5, f + 69 = 74
15) Since w = 23, w + 45 = 68 
5 0
2 years ago
Read 2 more answers
What number has 1 ten thousand, 4 more thousands than ten thousands, 3 more
ASHA 777 [7]

Answer:

15884

Step-by-step explanation:

just follow the order easy

Brainliest

5 0
2 years ago
When will these two lines intersect <br>C. y=-2x +3<br>y = x​
Andrej [43]

Answer:

The intersection point  of the given lines is  (1,1).

Step-by-step explanation:

Here, the given equations are:

y  =  - 2 x +  3

y  =  x​

Substitute y = x in  the first equation,

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

or, y + 2 y = 3

or, 3 y = 3  ⇒  y = 3/3 = 1

⇒  y =  1

Now, as x =  y ⇒ x =   1

Hence, the intersection points of the given lines is  (1,1).

8 0
3 years ago
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