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12345 [234]
3 years ago
9

How do you graph 3x-2y<-4

Mathematics
1 answer:
sveta [45]3 years ago
4 0
The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
2
m
=
3
2
b
=
−
2
b
=
-
2
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
2
3
2
Y-Intercept:
−
2

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A computer can sort x objects in t seconds, as modeled by the function
r-ruslan [8.4K]

Answer:

  36 objects

Step-by-step explanation:

You want the value of x when t=9, so you're solving ...

  9 = 0.007x^2 +0.003x

  9 = 0.007(x^2 + 3/7x)

From here, we observe that an approximation is probably sufficient.

 9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2

  x ≈ 3/√.007 ≈ 35.9 ≈ 36

We can check:

  .007(36)(36 3/7) = 9.18

  .007(35)(35 3/7) = 8.68

To keep the computer busy for 9 seconds, it needs to sort 36 objects.

 

6 0
3 years ago
Which choice is the solution for this system ? 2x − 5y = 14 x + 3 2 y = 5
VashaNatasha [74]

Answer:

The required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

Step-by-step explanation:

The given equations are

2x-5y=14                       .... (1)

x+\frac{3}{2}y=5            .... (2)

Multiply the equation (2) by 2.

2x+3y=10                     .... (3)

Subtract equation (1) from equation (3).

2x+3y-(2x-5y)=10-14

2x+3y-2x+5y=-4

8y=-4

y=-\frac{1}{2}=-0.5

Put this value in equation (1).

2x-5(-0.5)=14

2x+2.5=14

2x=11.5

x=5.75

Therefore the required solution is (5.75,-0.5). It can be written as (\frac{11}{4},-\frac{1}{2}).

3 0
2 years ago
What is the length of the hypotenuse
Vera_Pavlovna [14]

Answer:

c=45

Step-by-step explanation:

36^2+27^2=c2

1296+729=c2

2095=c2

Then square root it to get

c=45

7 0
3 years ago
Read 2 more answers
2. In the diagram below of parallelogram ROCK, m ZC is 70° and mZROS is 65°. What is mZKSO?​
Mashcka [7]

Check the picture below.

8 0
2 years ago
A set of bookshelves rests on a hard floor surface on four legs, each having a cross-sectional dimension of 3.0×4.1cm in contact
tatiyna

Answer:

5.22\cdot 10^5 Pa

Step-by-step explanation:

The pressure exerted by an object is given by:

p=\frac{F}{A}

where

F is the magnitude of the force

A is the area of the surface perpendicular to the force

In this problem, the force is the weight of the books + the shelf, which is given by

F=mg

where

m = 262 kg is the total mass

g=9.8 m/s^2 is the acceleration of gravity

Substituting,

F=(262)(9.8)=2568 N

The area of the four legs is:

A=4(3.0 cm\cdot 4.1 cm)=4(12.3 cm^2)=49.2 cm^2 = 49.2\cdot 10^{-4} m^2

Therefore, the pressure exerted on them is:

p=\frac{F}{A}=\frac{2568}{49.2\cdot 10^{-4}}=5.22\cdot 10^5 Pa

7 0
3 years ago
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