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3 years ago

Graphing linear equations

Mathematics

1 answer:

ella [17]3 years ago

6 0

Answer:

To ensure uniformity on an exam

To test whether you can distinguish between the two formats

Step-by-step explanation:

Standard form is when a straight line equation is rearranged in the form:

$ax + by = c$

Therefore y=2x+4 in standard form is

$2x - y = - 4$

The slope-intercept form is when a a straight line equation is written in the form:

$y = mx + c$

where m is the slope and c is the y-intercept.

The given equation is

$y = - \frac{1}{2} x - 5$

This is already in slope-intercept form:

The standard form and slope-intercept forms are just formats.

Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.

You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.

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Solve by substitution x-y=-11 y+7=-2x

Bess [88]

x - y = - 11 .............( 1 )

y + 7 = - 2x ...............( 2 )

from equation ( 1 )

x - y = - 11

x = -11 + y ...........( 3)

putting x in equation ( 2 )

y + 7 = - 2 x

y + 7 = -2 ( -11 + y ) y + 7 = 22 - 2 y y + 2 y =22 - 7

3 y = 15 y = 15 / 3

putting value of y in equation 3

x = -11+ ( 13 /5 ) x = -33 /3 + 15 / 3 ( l.c.m)

x = -17 / 5

check

x = -11 + y

- 17 / 5 = -11 + 13 / 5

-17 /5 = -17 / 5

4 0

3 years ago

When graphing inequalities, where can the solutions be found?

Firdavs [7]

The answer is c cuz the shaded overlapping section represents the answer

4 0

3 years ago

Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?

grin007 [14]

Solution

- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.

- In the dataset given, the largest number is 12 while the smallest number is 3.

- Thus, the Range of the dataset is

$12-3=9$

Range = 9

7 0

10 months ago

(English to algebra) twice K is the same as three times k plus one

ryzh [129]

2k = 3k + 1

BTW k = -1

7 0

3 years ago

Read 2 more answers

In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consis

BARSIC [14]

Answer:

The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.

Step-by-step explanation:

The percentage of children in the treatment group was:

(201229/401974)*100 = 49.9%

The percentage of children given placebo was:

(200745/401974)*100 = 50.1%

The percentage of children that developed polio in the treatment group:

(33/200745)*100 = 0.0164%

The percentage of children that developed polio in the placebo group:

(115/201229)*100 = 0.0571%

The percentage difference between the two group:

((0.0571-0.0164)/0.0571) = 61.62%

Therefore:

The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.

6 0

2 years ago