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2 years ago

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

8 0

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

$y=2x-3...........................(1)\\\\y=-2x+5.............................(2)$

Adding equation (1) and (2), we get

$2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1$

Substitute the value of y in the first equation , we get

$1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2$

Therefore, the solution to the given system of equations = (2,1)

Nataly [62]2 years ago

7 0

Answer:

B (2,1)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met

belka [17]

Answer:

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

$V_C = V_c * x$

where $V_C =$ volume of the cylinder

$V_c =$ volume of each cube

Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

$V_c = L^3$

where L = length of side of cube

Therefore, the volume of each cube is:

$V_c = 3^3 = 27 cm^3$

The volume of a cylinder is given as:

$V_C = \pi r^2h$

where r = radius

h = height of the cylinder

The volume of the cylinder is:

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Therefore:

21823.55 = 27 * x

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2 years ago

What three different equations that have x = 5 as a solution

Mars2501 [29]

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2 years ago

Read 2 more answers

The average age of doctors in a certain hospital is 45.0 years old. Suppose the distribution of ages is normal and has a standar

Ad libitum [116K]

Answer: 0.7619

Step-by-step explanation:

Given : Mean : $\mu=45.0$

Standard deviation : $\sigma =8.0$

Sample size : $n=9$

We assume that the variable is normally distributed.

The value of z-score is given by :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

a) For x= 46.9 years

$z=\dfrac{46.9-45.0}{\dfrac{8}{\sqrt{9}}}=0.7125$

The p-value : $P(z$

Hence, the probability that the average age of those doctors is less than 46.9 years =0.7619

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2 years ago