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3 years ago

Solve this system of equations using the graphing method please y=-1/3x+5 y=-2x

Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

Graph the equations and locate the intersection.
(-3,6)

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A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each

worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is $\frac5{16}$

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

$Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}$

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

$=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}$

$=\frac{5}{8}$

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

$=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}$

$=\frac{3}{6}$

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

$=\frac58\times \frac36$

$=\frac5{16}$

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3 years ago

Is the relation a function? Explain Set-builder notation? Domain/range?

saveliy_v [14]

Answer:

doamin = set builder nation

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3 years ago

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Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

$4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}$

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3 years ago

Can someone help me out with these? "write a linear equation for line m,n,l,p"

aniked [119]

Answer:

Step-by-step explanation:

m: y = -2x + 4

n: y = x - 1

l: y = 4

p: x = -4

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3 years ago

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A painting measures 2.4 feet from left to right. It’s hung in the center of a rectangular wall measuring 20 feet from left to ri

julsineya [31]

Since the painting is hung in center of a rectangular wall ,the distance between them on either side will be the same.so we can divide the length of the painting and wall by 2.we will get 2.4/2=1.2 feet and 20/2=10 feet .10-1.2=8.8 feet gives the distance between the right edge of the painting and right edge of the wall

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3 years ago