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3 years ago

SIMPLE Factoring by Grouping

1 answer:

7 0

Group together the terms that have "like" variables or constants in them. The first 2 terms both have an x, but the second 2 don't, so the first two are grouped together. The second 2 terms, while they do not have a common variable, both have the number 2. So those are grouped together.
(xa - xb) - (2a + 2b)--> x(a-b) - 2(a-b). Now you can actually factor out the like term (a-b) to get this: (a-b)(x-2).

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Pattern A was created by using the rule "start at 2 and add 3." Pattern B was created by using the rule "start at 14 and subtrac

uysha [10]

Answer:

(2, 14), (5, 12), (8, 10), (11, 8), (14, 6)

Step-by-step explanation:

Lets do the math for Pattern A:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

Lets do the math for Pattern B:

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

7 0

3 years ago

Use the table below to answer this question:

ch4aika [34]

Answer:

Step-by-step explanation:

Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:

(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

$m=\frac{0-5}{4-(-1)}=\frac{-5}{5}=-1$

So the average rate of change, aka slope, between those 2 points is -1

7 0

3 years ago

Rosalie earns extra money by working as a babysitter over the weekend. She charges $10 to drive to the home and an additional $8

agasfer [191]

Answer: The input values are B-number of hours (x).

The output values are C-charge for babysitting(y).

The value of $10 represents the B-y intercept.

The value of $8 represents the C-slope.

Step-by-step explanation:

Charges to drive to the home= $10

Additional charges per hour=$8

Let x be the hour she worked (independent variable) and y be the total charge for baby sitting (dependent variable)

Thus, the input values are number of hours (x) and the output values are charge for babysitting(y)

According to the situation the equation would be

y=8x+10

which is equivalent to the slope intercept form y=mx+c, where

m=8, slope of line

At x=0, y=10

Thus, $10 represents the y intercept

6 0

3 years ago

Read 2 more answers

How do you solve for the central area of a polygon?

ycow [4]

Getting the central area of a polygon is not possible. Probably the question refers to the central angle. In a a regular polygon, getting the central angle is that you need to use the formula.

Central Angle of a polygon = 360 degrees / number of sides of a polygon.
Why 360 degrees? Because, a circle has a total of 360 degrees. And a circle is a polygon with no sides.

5 0

3 years ago

If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it

likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

6 0

3 years ago