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3 years ago

Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Answer:

Dependent

Step-by-step explanation:

$y=-3x+4$ and $6x+2y=8$

Lets solve the second equation for y and then substitute it in first equation

$6x+2y=8$

Subtract 6x on both sides

$2y=-6x+8$

Divide by 2 on both sides

$y=-3x+4$

Now we plug it in first equation for y

$-3x+4=-3x+4$

Add 3x on both sides

$4=4$

Both sides are same, they are equal. the system has infinite solutions.

They are said to be dependent

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Plz some one help me

sveta [45]

9 games

You can get this by multiplying each percentage by the total number of games to see what they have to expect.

.55*180 = 99 games (red team)

.60*180 = 108 games (blue team)

Now subtract the blue team expectation from the red team.

108 - 99 = 9 games.

6 0

3 years ago

A college football coach has decided to recruit only the heaviest 15% of high school football players. He knows that high school

Alla [95]

Answer:

The coach should start recruiting players with weight 269.55 pounds or more.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 225 pounds

Standard Deviation, σ = 43 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.15

$P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15$

$= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15$

$=P( z \leq \displaystyle\frac{x - 225}{43})=0.85$

Calculation the value from standard normal z table, we have,

$P(z < 1.036) = 0.85$

$\displaystyle\frac{x - 225}{43} = 1.036\\\\x = 269.548 \approx 269.55$

Thus, the coach should start recruiting players with weight 269.55 pounds or more.

3 0

3 years ago

Volume of triangular prism base 18in, height 9in, length 24in

padilas [110]

Answer:

1944 in³

Step-by-step explanation:

We are given;

Dimensions of a triangular prism;

Base is 18 inches
Length is 9 inches, and
Length is 24 inches

We are required to determine the volume of the prism

To answer the question we need to know that the volume of a triangular prism is given by;

Volume = 0.5 × Width × height × Length

Therefore;

Volume = 0.5 × 18 in × 9 in × 24 in

= 1944 in³

Thus, the volume of the triangular prism is 1944 in³

8 0

3 years ago

7 3/5 - 4 4/5 because I don’t know what to do with my life anymore :,)

Olin [163]

Answer:

14/5 or 2 4/5

Step-by-step explanation:

7 3/5 = 38/5

4 4/5 = 24/5

38/5 - 24/5 = 14/5 = 2 4/5

5 0

3 years ago

Please help me solve this problem. I'm stuck!

mezya [45]

Answer:

a. 4 hours

b. if studio b increases' its hourly price, the two studios will never have the same price.

Step-by-step explanation:

The function for studio 1 is

cost = 8(hours) + 10

studio 2

cost = 6(hours) + 16

they cost the same after 4 hours. making a table really helps.

8 0

3 years ago