How many factors in the expression 8(x +4) (y +4) (z 2 + 4z + 7) have exactly two terms?

Answers

Answer 1

Answer: From the expression 8(x +4) (y +4) (z 2 + 4z + 7),
the factors are 8, (x+4), (y+4), (z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder.

Answer 2

Answer:

Answer:

Only 2 factors have exactly two terms i.e, (x+4)(y+4)

Step-by-step explanation:

Given : Expression $8(x+4)(y+4)(z^2+4z+7)$

To find : How many factors in the expression have exactly two terms?

Solution :

Expression $8(x+4)(y+4)(z^2+4z+7)$ cannot be further factorized.

Now, We count the terms in each factor.

1) Factor- 8

Only 1 term i.e, 8 itself.

2) Factor- x+4

Two terms .i.e., x and 4

3) Factor- y+4

Two terms .i.e., y and 4

4) Factor- $z^2+4z+7$

Three terms .i.e., $z^2$ , 4z and 7.

Therefore, Only 2 factors have exactly two terms i.e, (x+4)(y+4).

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Answers

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Find the range for these numbers. 12,9,24,24,37,18,9,6,24

Answers

The difference between the greatest and lowest numbers in a piece of data is the range. The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

What is the range?

The difference between the greatest and lowest numbers in a piece of data is the range. The difference here is that the range of a set of data is determined by subtracting the sample maximum and minimum.

The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is,

37-6 = 31

Hence, The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

Learn more about Range:

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The range of a set of data is the difference between the highest and lowest values in the set. Order the number in order from least to greatest.
6,9,9,12,18,24,24,24,37
Then subtract the least number from the greatest number.
37-6=31
So your answer is 31.

The graph shows the cost of parking, y , per hour, x , at a parking garage. The graph is titled Parking Rates. The X-axis is labeled Number of Hours and goes from zero to four by a scale of one. The y-axis is labeled Cost in dollars and goes from zero to eighteen by a scale of two. Five points are shown on the graph. Zero hours, zero dollars. One hour, four dollars. Two hours, eight dollars. Three hours, twelve dollars. Four hours, sixteen dollars. Which equation represents the relationship shown in the graph?

Answers

The relationship shown in the graph represents a linear equation because the cost of parking increases at a constant rate per hour. To find the equation that represents this relationship, we can use the slope-intercept form of a linear equation:

\[y = mx + b\]

Where:
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- $m$ is the slope, which represents the rate of change.
- $b$ is the y-intercept, which represents the initial cost when $x$ is zero.

Based on the points provided in the graph:

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Point 2: (1 hour, 4 dollars) allows us to find the slope ($m$) as follows:

So, the equation that represents the relationship shown in the graph is:

\[y = 4x\]

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Answers

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Answers

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