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3 years ago

Can someone please help me factor and write the equations for these two problems ?

Mathematics

1 answer:

prisoha [69]3 years ago

5 0

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = $\frac{3x}{x^2-3x-10}$

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

= x(x - 5) + 2(x - 5)

= (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = $\frac{3x}{(x + 2)(x - 5)}$

Asymptotes 4

h(x) = $\frac{(x-5)}{x^{2} + 14x + 40}$

= $\frac{x-5}{x^{2}+10x+4x+40}$

= $\frac{x-5}{x(x+10)+4(x+10)}$

= $\frac{x-5}{(x+10)(x+4)}$

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Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50

gizmo_the_mogwai [7]

32, 35, 38, 40, 42, 46, 48, 48, 50, 51, 52, 53, 54, 56

The median value is 48.

To find the median you put all the numbers in order. If there is an odd number of numbers it is the center number. If there are an even amount of numbers it is the mean I’d the two central numbers. In this case the two central numbers were the same. So the median is 48.

8 0

3 years ago

Read 2 more answers

Y-2=4(x-1) use the point slope for each equation

melomori [17]

Slope = 4

Point = (1, 2)

<h2>Explanation:</h2>

Remember you need to post complete questions in order to get precise and good answers. However, I'll assume you need the point and slope of the following line:

$y-2=4(x-1)$

A line written in Point-Slope form is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ Slope:m=4 \\ \\ Point:(x_{0},y_{0})=(1,2)$

By using tools, we get the graph in the figure below. As you can see, this line passes through (1, 2) and has a slope:

$m=\frac{4}{1}=4$

<h2>Learn more:</h2>

Infinitely many solutions: brainly.com/question/13771057#

#LearnWithBrainly

4 0

3 years ago

Find the GCF and LCM of 217x328x11 and 213x345x74and explain your reasoning.

AfilCa [17]

Answer:

Given expressions are,

217 x 328 x 11

213 x 345 x 74,

Since, 217 = 7 × 31

328 = 2 × 2 × 2 × 41,

11 = 1 × 11,

So, we can write, 217 x 328 x 11 = 7 × 31 × 2 × 2 × 2 × 41 × 1 × 11

Now, 213 = 3 × 71

345 = 3 × 5 × 23,

74 = 2 × 37,

So, 213 x 345 x 74 = 3 × 71 × 3 × 5 × 23 × 3 × 5 × 23

Thus, GCF ( greatest common factor ) of the given expressions = 1 ( because there are no common factors )

We know that if two numbers have GCF 1 then their LCM is obtained by multiplying them,

Hence, LCM ( least common multiple ) of the given expressions = 217 x 328 x 11 x 213 x 345 x 74

6 0

4 years ago

WHICH IS A TRUE STATEMENT BASED ON THE DOT PLOTS BELOW 10 POINTS

Nata [24]

Answer:

C. Set B has the greater range.

Step-by-step explanation:

We can start out with listing out each set of data in a way that makes it easier to work with.

Set A:

20,20,30,30,40,40,40,40,40,50,50,60,60,60

Set B:

10,10,20,20,20,30,30,30,30,40,50,50,60

We can start by trying to eliminate answer options; starting with D.

To get the mean of a set of data, we need to add all numbers in the data set and then divide by the number of dots on the plot.

For Set B: 10+10+20+20+20+20+30+30+30+30+40+50+50+60=420 then divide by number of dots (14) 420/14=30 The mean of Set B is equal to 30.

Solve the mean for Set A to compare. The mean is 41. D is not true so we can eliminate this answer choice.

We can look at the median of both sets so that we can eliminate answer choice B. The median is the middle most point in the set of data.

Set A median: 40

Set B median: 30

We can eliminate B because it does not have the greater median.

On to option C: range.

To find the range of each data set, we subtract the smallest number from the biggest number.

Set A: 60-20=40

Set B: 60-10= 50

Set B does in fact have a greater range than Set A. Answer choice C is the correct option.

6 0

4 years ago

A square has a side length of 520<br> meters. What is the perimeter of<br> the square in kilometers?

kicyunya [14]

Answer: 2.08 km

Step-by-step explanation:

Side of Square = 520 m

Perimeter of Square = Side × 4

= 520 × 4

= 2080 m

1000 m = 1km

2080 m = 2080 ÷ 1000

= 2.08 km

7 0

3 years ago