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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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3 years ago
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix ?
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Answer:  The answer is (B).


Step-by-step explanation:  We are given four options and we are to select which matrix can be multiplied to the left of a vector matrix to get a new vector matrix. The order of a vector matrix is either n × 1  or  1 × n.

For (A): The order of the matrix is 2 × 1. If we multiply this matrix by a vector matrix of order 1 × 2, then the resulting matrix will be of order 2 × 2, which is not a vector matrix.

For (B): The order of the matrix is 3  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 3 × 1, which is a new vector matrix.

For (C): The order of the matrix is 2  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 2 × 1, which is a vector matrix of order same as before.

For (D): The order of the matrix is 1  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 1 × 1, which is a not vector matrix.

Thus, the correct option is (B).

5 0
3 years ago
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In a classroom, the ratio of boys to girls is 2 to 1. what is the number of boys and girls in the classroom?
Angelina_Jolie [31]
The answer is 2:1 or 2/1 but it's 2:1
7 0
3 years ago
Find the sample standard deviation:
zlopas [31]

Answer:

<h2>B. 7.1</h2>

Step-by-step explanation:

Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.

mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10

mean = 97/10

mean = 9.7

Standard deviation for ungrouped data is expressed using the formula;

S = \sqrt{ \dfrac{\sum(x-\overline x)^2}{n-1} }

\overline x \ is\ the \ mean\\n \ is \ sample \ size

S = \sqrt{\frac{(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2}{10-1} }\\ S = \sqrt{\frac{(-7.7)^2+(-3.7)^2+(5.3)^2+(-0.7)^2+(1.3)^2+(12.3)^2+(-8.7)^2+(-5.7)^2+(-1.7)^2+(9.3)^2}{10-1} }\\\\S =  \sqrt{\dfrac{59.29+13.69+28.09+0.49+1.69+151.29+75.69+32.49+2.89+86.49}{10-1} }\\\\\\S =  \sqrt{\dfrac{452.1}{9} }\\\\S = \sqrt{50.23}\\ \\S = 7.08\\\\S \approx 7.1

<em>Hence the standard deviation of the sample data is 7.1</em>

7 0
2 years ago
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
MrMuchimi

Answer: probably c

Step-by-step explanation:

i divided it and got 401.063963

6 0
1 year ago
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