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1 year ago

(-2,17)(-1,13)(1,5)(2,1)(3,-3) The rate of change is ____.

1 answer:

4 0

Answer:

The rate of change in -4

Step-by-step explanation:

The rate of change is also known as the slope

To do this, take two points {(-2, 17) , (-1, 13)} and find the slope

m = slope

m = change in y/change in x

m = 13 - 17/-1 - (-2)

m = -4/1

m = -4

The rate of change in -4

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A line has a slope of 3/7 and a y-intercept of 0. What is it’s equation in slope-intercept form?

Ilia_Sergeevich [38]

Answer:

y = 3/7x

Step-by-step explanation:

Well slope-intercept form means this -----> y=mx+b

m = slope

b = y- intercept

In the question given they already telling us the slope (3/7) and the y intercept (0) so to put it into slope intercept form it will be ---> y= 3/7x

* If your y - intercept is zero you don't need to replace it with the b because its zero it means nothing (it has no value)

Hope this helps!!!

5 0

1 year ago

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

7 0

2 years ago

Compute the conditional probabilities from the two-way frequency table.

Natali5045456 [20]

Answer:

The table is show clearly in the figure attached.

P(boy if favourite activity is swimming) = 8/17 = 0.47

P(girl if favourite activity is sport) = 7/27 = 0.26

P(girl if favourite activity is reading) = 4/6 = 0.67

P(boy if favourite activity is sport) = 20/27 = 0.74

P(favourite activity is swimming if a girl) = 9/20 = 0.45

P(favourite activity is reading if a boy) = 2/30 = 0.07

P(favourite activity is swimming if a boy) = 8/30 = 0.27

P(favourite activity is reading if a girl) = 4/20 = 0.2

6 0

2 years ago

Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessar

Aloiza [94]

$8 per yard of fabric
1 yard is equal to 3 feet
8 divided by 3 = 2.67(rounded)
$2.67 per foot of fabric
1 foot is equal to 12 inches
2.67 divided by 12 =0.22(rounded)
1 inch of fabric cost $0.22

3 0

2 years ago

What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 15, 20, 10, 18

love history [14]

Answer:

A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Step-by-step explanation:

Bubble sorting can be defined as a technique or methodology whereby numbers that are not in their proper order are sorted into proper order that is from smallest to highest( increasing to decreasing order).

The method of bubble sorting involves the shuffling or swapping of adjacent numbers until the numbers are well sorted or arranged.

In the above question, we were given, a set of numbers:

15, 20, 10, 18

Step 1

20 is adjacent to 10

20 > 10

hence we swap

= 15,10,20,18

Step 2

From, 15,10, 20,18

20 is adjacent to 18

20 > 18

hence we swap

= 15,10,18,20

Step 3

From step 2, which gave us 15,10,18,20

15 us adjacent to 10

15 > 10

We swap

= 10,15,18,20

Hence,

15, 20, 10, 18 -- 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Therefore, Option A is the correct option.

4 0

2 years ago