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AveGali [126]
3 years ago
8

When looking at graphs, which of the following statements is true about functions? If each vertical line passes through only one

point, it is a function. Each vertical line must pass through at least two points to be a function. If there are more than 3 points on the graph it is not a funcion. A function cannot be represented on a graph.
Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

idk ask someone else

Step-by-step explanation:

idk bro sorry

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zhuklara [117]
Degree measures<span>Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.</span>
8 0
3 years ago
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
Find the range of the function for the domain {−3, 1, 4.5}.
Nitella [24]

Answer:

D. {4, 0, -3.5}

Step-by-step explanation:

domain (x) = {-3, 1, 4.5}

y= -x + 1

substituting domain/x-values into y= -x + 1

x= -3

y = -(-3) + 1

= 3+1

= 4

x= 1

y = -(1) + 1

= 0

x = 4.5

y = - (4.5) + 1

= -3.5

therefore, range ={4, 0, -3.5}

6 0
2 years ago
What is an equation of the line that passes through the points (8, 5)<br> and (-6, 5)?
djverab [1.8K]
Y=5 is the equations
5 0
2 years ago
Choose an American household at random, and let the random variable X be the number of cars (including SUVs and light trucks) th
PilotLPTM [1.2K]

Answer:

19% of households have more cars than the garage can hold

Step-by-step explanation:

We are given the following distribution for the number of cars owned by a family.

Number of cars X:        0        1           2        3           4          5          6

Probability:                0.07    0.31     0.43    0.12     0.04     0.02    0.01

We have to find the percentage of households have more cars than the garage can hold.

A garage can hold two cars. Thus, the household with more than two cars are the households that  have more cars than the garage can hold.

The given distribution is a discrete probability distribution.

Thus, we evaluate:

P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) =   0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%

Thus, 19% of households have more cars than the garage can hold.

4 0
3 years ago
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