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Lynna [10]
3 years ago
14

How many solutions does this system have? y=3/4x-5 -3x+4y=-20?

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

infinite

Step-by-step explanation:

If you multiply all factors in the secon eqation by 4, you will get the first eqation.

Therefore for any value of x you can find y, thus having an infinite number of x,y pairs

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What is the proportionality of 4 and 1.50?
Llana [10]

Answer:

y = 0.375x

Step-by-step explanation:

Let there are two variables, one independent variable x and another dependent variable y which are in proportionality relation.

So, y ∝ x

⇒ y = kx  ........... (1) {Where k is the proportionality constant}

Let us assume that the given values of 4 and 1.50 are values of x and y respectively.

Hence, from equation (1) we get, 1.5 = 4k

⇒ k = 0.375

So, the proportionality equation is y = 0.375x (Answer)

5 0
3 years ago
Which of these sets of ordered pairs would define a line with a positive slope?
Serhud [2]
The correct answer is D
8 0
2 years ago
Boyle’s law states that the volume of a gas varies inversely with applied pressure. Suppose the pressure on 60 cubic meters of g
tatyana61 [14]
\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \stackrel{\textit{the volume of a gas varies inversely with applied pressure}}{v=\cfrac{k}{p}}
\\\\\\
\textit{we also know that }
\begin{cases}
v=60\\
p=1
\end{cases}\implies 60=\cfrac{k}{1}\implies 60=k
\\\\\\
\boxed{v=\cfrac{60}{p}}
\\\\\\
\stackrel{\textit{now if we apply 3 atmospheres, p=3, what is \underline{v}?}}{v=\cfrac{60}{3}}
8 0
3 years ago
Read 2 more answers
I'm not sure how to solve this. please help​
zepelin [54]

Answer:

The awnser is 2 and 3!!!!!!

8 0
2 years ago
The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its
madam [21]

Answer:

y = 4 sin(½ x) − 3

Step-by-step explanation:

The function is either sine or cosine:

y = A sin(2π/T x) + C

y = A cos(2π/T x) + C

where A is the amplitude, T is the period, and C is the midline.

The midline is the average of the min and max:

C = (1 + -7) / 2

C = -3

The amplitude is half the difference between the min and max:

A = (1 − -7) / 2

A = 4

The maximum is at x = π, and the minimum is at x = 3π.  The difference, 2π, is half the period.  So T = 4π.

Plugging in, the options are:

y = 4 sin(½ x) − 3

y = 4 cos(½ x) − 3

Since the maximum is at x = π, this must be a sine wave.

y = 4 sin(½ x) − 3

4 0
3 years ago
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