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Umnica [9.8K]
2 years ago
13

Is about inequalities, I know the rule of flipping the sign if you multiply or divide by a negative numbers but a few examples c

onfuse me.
To make this inequality 5x+2y<14 into the slope-intercept form y=mx+b, please tell me if the sign has to be flipped.
I do it like this
5x+2y<14
y<-5/2x+14/2
y<-5/2x+7
I am not dividing by a negative number but 5 is negative, 2 is positive, should I flip the sign or not?
Mathematics
1 answer:
Westkost [7]2 years ago
3 0

Answer:

do not flip the sign

Step-by-step explanation:

you only flip when you divide with negative number

however, for you to get the intercepts, you assumed

for y =0

5x +2(0)<14

5x<14

x<14/5<2.8

and also

x=0

5(0)+2y<14

2y<14

y<14/2

y<7

this assumption is because at interception, either x or y will be at origin

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What is the value of 4p-2 when p=8
3241004551 [841]

Answer: Hence, the value of expression is 30 when p = 8.

Step-by-step explanation:

Since we have given that

4p-2

and we have p = 8.

So, we substitute the value of p in the above expression.

so, it becomes,

4(8)-2\\\\4\times 8-2\\\\=32-2\\\\=30

Hence, the value of expression is 30 when p = 8.

3 0
3 years ago
Find the value of each variable in each parallelogram.
svp [43]

Answer:

a=109° b=71°

Step-by-step explanation:

All the angles in a parallelogram add up to 360. There are a few rules:

The opposite angles are congruent.

Consecutive angles are congruent.

We can apply these rules here.

71 is opposite to b

and a is consecutive to 71 so we can put together these equations.

180=71+a

71=b

we can simplify to get the answers

the end

4 0
3 years ago
Find the slope of the line.<br> Can somebody please help me and/ or explain ?
Olegator [25]

Answer:

4/-2

Step-by-step explanation:

Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6  then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2

4 0
2 years ago
5= 3 1 (x+7) ) x = <br> What is it?
aleksandrvk [35]

Answer:

Step-by-step explanation:

5= 31(x +7)

5= 31x + 217

5 - 217 = 31x + 217 - 217

212 = 31x

212/31 = 31x/31

212 = x

x= 212

5 0
2 years ago
Perform the indicated operation. Show all necessary work.
densk [106]

The subtraction of a negative number is the same as addition of the

positive equivalent of the number.

The outputs of the operations are;

  • (a) -2 - (-9) = 7
  • (b) -2 - 9 = -11
  • (c) -2 + 9 + 2 = 9

Reasons:

(a) The operation is -2 - (-9)

Which is the subtraction of negative 9 from negative 2, which gives, a double negative, which is equivalent to a positive, therefore, we get;

-2 - (-9) = -2 + 9 = <u>7</u>

<u />

(b) The operation is -2 - 9

The above operation is the subtraction of +9 from negative 2, which gives;

-2 - 9 =<u> -11</u>

(c) The operation is -2 - (-9) - (-2)

The above operation is the subtraction of negative 9, and negative 2 from

negative 2, and therefore, has two double negatives that result two

positive(s) increases, as follows;

-2 - (-9) - (-2) = -2 + 9 + 2 = 9

Learn more here:

brainly.com/question/20508039

8 0
2 years ago
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