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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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Write x(x-2)+3(2-x) as a product of binomials. Hint: you may want to manipulate (2-x) first. Check to see If you have written an
dmitriy555 [2]

Answer:

x²-5x+6

Step-by-step explanation:

The question is to find product in : x(x-2)+3(2-x)-----------(a)

Make terms in brackets same by introducing a negative sign as;

Collect like terms as : x(x-2) - 3 (x-2)------------ (b)

Note that expression (a) is similar to (b)

Factorize equation (b) as : (x-3)(x-2)

Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6

Collect like terms as: x²-5x+6

Final expression : x²-5x+6

Testing with x=5 in original expression

x(x-2)+3(2-x)

5(5-2)+3(2-5)

25-10+6-15

25+6-10-15

31-10-15=6

Using the final expression;

x²-5x+6

5²-5(5)+6

25-25+6

=6

3 0
3 years ago
residents in r county can use the expression (v × 0.5501 - 4800) ÷ (1000 × 34.67) what is the property tax on a $190000. home?
alexandr1967 [171]

Given:

Property-tax in thousands of dollars

tax(v)=(v × 0.5501 - 4800) ÷ (1000 × 34.67)

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boyakko [2]
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3 years ago
Section 5.2 Geometry: Congruent Polygons please help
Readme [11.4K]

Answer:

X = 32

Y = 51

Step-by-step explanation:

It is give that triangle MNP is CONGRUENT to triangle TUS .

So, MN = TU , NP = US , MP = TS , Angle M = Angle T , Angle S = Angle P .

Angle S + Angle T + Angle U = 180 - ( Angle sum property of Triangle )

24 + 142 + ( 2x - 50) = 180

= 166 + ( 2x - 50) = 180

= 2x - 50 = 180 - 166

= 2x = 14 + 50

= x = 64/2

= x = 32

Side NP = Side SU

( 2x - y ) = 13

= 2*32 - y = 13 By putting x = 32

= 64 - y = 13

= - y = 13 - 64

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= y = 51

If any doubt so please ask .

THANK YOU

8 0
2 years ago
What are the solutions for f(x)g(x)
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Answer:

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Step-by-step explanation:

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