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k0ka [10]
3 years ago
6

What inequality is equivalent to -3x+2y>5y+9

Mathematics
2 answers:
Leona [35]3 years ago
6 0
        -3x + 2y > 5y + 9
               - 5y  - 5y
         -3x - 3y > 9
 -3x + 3x - 3y > 3x + 9  
                -3y > 3x + 9
                 -3        -3
                   y < -x + 3
Nady [450]3 years ago
4 0
-3x+ 2y > 5y+ 9
⇒ -3x > 5y -2y+ 9
⇒ -3x > 3y+ 9
⇒ x < (3y+ 9)/(-3)
⇒ x < -y -3

The inequality equivalent to -3x+ 2y > 5y+ 9 is x < -y -3~
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Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)
PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0
2 years ago
What is a distinct factor in math?
Mrac [35]
Distinct prime factors are factors that can not be reduced any further.... Such factors are like 3,5, and 7.
7 0
3 years ago
Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius
UNO [17]

Answer with Step-by-step explanation:

The radius of the bull’s-eye of the dartboard is 8 inches.

The radius of each concentric circle is 8 inches more than the radius of the circle inside it.

Radius of first circle=8 in.

Radius of second circle=16 in.

Radius of third circle=24 in.

Radius of fourth circle=32 in.

Area of C=Area of the third circle-Area of second circle

                     = π×24×24-π×16×16

                   = 320π sq. in.

Total area of dartboard=Area of fourth circle=π×32×32

                                                            =1024π sq. in.

P( the dart will hit in area C)= area of c/total area of dart board

                                             =320π/1024π

                                           =  5/16

Hence, correct option is:

B.5/16

5 0
3 years ago
A wedding dress is on sale for $225.00, which is 25% off of its original price. What was the original price of the dress?
Olenka [21]
So if the dress is 25% off, that means you are paying 75% of the original price.

sale price = original price x 0.75
225 = original price x 0.75

divide both sides by 0.75 to isolate original price

225/0.75 = (original price x 0.75)/0.75
300 = original price 
7 0
3 years ago
Read 2 more answers
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