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2 years ago

Determine the number of solutions the system of 1/3y-5=2x and y=3(2x+5)

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

3 0

Answer:

A. (4,1)

Step-by-step explanation:

2x -5y = 3

x -3y = 1

Change the equation to isolate a variable so you can substitute it in the other one.

x = 1+3y so

2(1+3y) -5y = 3

2 + 6y -5y =3

2 + y = 3

y=1

Back to the easy equation we isolated

x = 1+3(1)

x= 4

(4,1) is a point where x=4 and y=1

hendikeps2 and 22 more users found this answer helpful

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5.0

(9 votes)

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Suppose that a vaccine is 85% effective against the flu. You vaccinated 6 people. How many of the 6 vaccinated people do you exp

zloy xaker [14]

<h3>5 of the 6 vaccinated people will be protected from the virus</h3>

<em><u>Solution:</u></em>

Given that,

Suppose that a vaccine is 85% effective against the flu

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From given,

85 % of 6 people are effective against the flu

Which means,

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3 years ago

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3 years ago

Help!! Answer !!! about to run out of time in test!!

Gemiola [76]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

$\qquad \sf \dashrightarrow \: h {}^{2} = {8}^{2} + {6}^{2}$

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Now, let's find the asked values ~

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{opposite \: side}{hypotenuse}$

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{6}{10}$

$\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{3}{5} \: or \: 0.6 \: units$

For Cos y :

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{adjcant \: side}{hypotenuse}$

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{6}{10}$

$\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{3}{5} \: or \: 0.6 \: units$

As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.

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Hope it helps ~

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2 years ago

How do u regroup when u find the sum of 64+43

Anarel [89]

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So we will break 64 up.

64 = 60 + 4

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3 years ago

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liq [111]

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