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Dmitriy789 [7]
3 years ago
14

Is 3x + 2x = 3 a function

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

You need to solve for Y. There should only be one corresponding y-value for that x-value. y = x + 1 is a function because Y is ALWAYS greater then X.

Step-by-step explanation:


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A 2 pound box of salt sells for $.89 and a 5 pound box sells for 2.09. What is the linear equation for this?
castortr0y [4]
Y = ax + b;

0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;

y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
4 0
3 years ago
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
Inez says you can plot 40 on a number line, but Jeremiah says you cannot. Who is correct?
Alborosie

Answer:

I am correct

Step-by-step explanation:

⊕

4 0
3 years ago
A child has a box of candies which might have a toy inside . The odds against the box having toys are 17/2 . What is the probabi
Elden [556K]
17/2 = probability is low
4 0
3 years ago
Monica has 7.68 meters of gold wire she wants to cut into 0.96 meter log pieces. She also has 7.45 meters if silver wire she wan
Murrr4er [49]

Answer:

Monica has 3 more pieces of gold than silver after she cut all her wire

Step-by-step explanation:

Total length of gold wire Monica has= 7.68 meters

Length of each piece Monica wants to cut the wire into = 0.96 meters

Total number of pieces she can cut  = \frac{Length\ of\ wire}{length\ of \ piece}= \frac{7.68}{0.96} = 8 pieces of gold wire

Total length of gold wire Monica has = 7.45 meters

Length of each piece Monica wants to cut the wire into = 1.49 meters

Total number of pieces she can cut  = \frac{Length\ of\ wire}{length\ of \ piece}= \frac{7.45}{1.49} =5 pieces silver wire

Gold wire pieces= 8

Silver wire pieces= 5

Difference in the number of pieces = 8-5=3

Monica has 3 more pieces of gold than silver after she cut all her wire

3 0
3 years ago
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