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3 years ago

Solve the following system of equations algebraically 3x-y=0 5x+2y=22

Mathematics

1 answer:

Lyrx [107]3 years ago

3 0

3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0

5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ 5x + 2y = 22

11x = 22

x = 2

3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y

Answer: x=2, y=6

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P->q is false and p is true. q is a.true b.false

kirill [66]

Answer:

Choice b. $q$ has to be false.

Step-by-step explanation:

Consider the truth table of $p \implies q$ ( $p$ implies $q$ ).

$p$ is true and $q$ is true: $p \implies q$ would be true.
$p$ is true and $q$ is false: $p \implies q$ would be false.
$p$ is false and $q$ is true: $p \implies q$ would be true.
$p$ is false and $q$ is false: $p \implies q$ would also be true.

The only combination where $p \implies q$ is false is when $p$ is true and $q$ is false. Hence, the $q\!$ here must be false.

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3 years ago

Subtract. (−8.3x+4)−(3.2x−5) Enter your answer, in simplified form, in the box.

lesya692 [45]

-2.5x is the answer for this question i believe if i did it right'

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3 years ago

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The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

Find the length of the box

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

the answer is

the length of the box is equal to $(x+4)$

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3 years ago

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5. Joe and Mike went video game shopping and it cost $69.00. Mike had a

Liula [17]

Answer:

it would be 20 I'm not 100 percent tho

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3 years ago

Please help! i think the answer is 12 but any verification would be greatly appreciated!

ANEK [815]

Answer:

13.9 or 14

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 13^2 = c^2

25 + 169 = 197

square root 197 to get c

c = 13.9 (14 rounded up)

Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle

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3 years ago

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