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GenaCL600 [577]
4 years ago
6

Graph the linear equation. Find three points to solve the equation, then plot on the graph.

Mathematics
2 answers:
Dominik [7]4 years ago
5 0

To graph, turn -x - y = 0 to y = -x by adding x to both sides then multiplying -1 to both sides. Then get points (0,0), (1, -1), and (2, -2) by replacing x with 0, 1, and 2 respectively and solving for y. Plot all of the points, and draw a line through them to graph.

Murrr4er [49]4 years ago
3 0

Multiply both sides of -x-y=0 by -1 to obtain x + y = 0, and then solve for y:

y = -x This is a straight line whose graph is much like that of y = x, except that y decreases as x increases.

We may choose any desired x values and calculate the associated y-values.

x y = -x (x,y)

0 0 (0,0)

-2 2 (-2, 2)

4 -4 (4, -4)

Plot these three points on graph paper and then draw a straight line through them all.


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Prove that if a and b are positive integers,then there exists a unique integers q and r such that a=bq+r where 0≤r<b​
Vilka [71]

Step-by-step explanation:

Correct option is

C

0≤r<b

If r must satisfy0≤r<b

Proof,

..,a−3b,a−2b,a−b,a,a+b,a+2b,a+3b,..

clearly it is an arithmetic progression with common difference b and it extends infinitely in both directions.

Let r be the smallest non-negative term of this arithmetic progression.Then,there exists a non-negative integer q such that,

a−bq=r

=>a=bq+r

As,r is the smallest non-negative integer satisfying the result.Therefore, 0≤r≤b

Thus, we have

a=bq1+r1,   0≤r1≤b

3 0
4 years ago
Estimate 38¼ - 14¾ by rounding each number to the nearest whole number.
Gemiola [76]

By rounding each number to the nearest whole number is  23.5

Given,

Estimate 38¼ - 14¾

and, by rounding each number to the nearest whole number.

Now, The solution is :

=38¼ - 14¾ = 153/4 - 59/4

=> \frac{153-59}{4}

=> 94/4

=> 23.5

Estimation a number to the nearest whole number:

To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If the digit is less than 5 (1, 2 , 3, 4) we don't have to do anything, but if the digit is 5 or greater (5,6,7,8,9) we must round up.

Hence, By rounding each number to the nearest whole number is  23.5

Learn more about Whole Numbers at:

brainly.com/question/14783707

#SPJ1

6 0
1 year ago
A company sets sales goals for employees each month.
erma4kov [3.2K]

Answer:

A. Kristina will sell 294 items in 28 days if she stays on her current pace.

B. She is not on track to meet the goal.

Step-by-step explanation:

By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

6 0
3 years ago
Question 1 of 25
Murrr4er [49]
The company should expect 235 in sales


plug in 50 for x, 2.1 times 50 is 105, 105 + 130 is 235, y = 35.
7 0
3 years ago
8. Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin cast a
taurus [48]

Answer:

C. 6 ft

Step-by-step explanation:

If Marvin's son is 3 feet tall with a 1 foot shadow, Marvin would be 6 feet tall with a 2 foot shadow.

7 0
3 years ago
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