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Gnesinka [82]
2 years ago
7

Suppose 4y – 1 = 15 and y = 5x – 3.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
3 0

The equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

<h3>How to determine the equivalent equation?</h3>

The equations are given as:

4y – 1 = 15 and y = 5x – 3.

Substitute y = 5x – 3. in 4y – 1 = 15

4(5x – 3) – 1 = 15

Expand

20x- 12 - 1 = 15

Evaluate the like terms

20x - 13 = 15

Hence, the equivalent equation of 4y – 1 = 15 is 20x - 13 = 15

Read more about equivalent equation at:

brainly.com/question/2972832

#SPJ1

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A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of x cm, then it's diagonal have the length of x\sqrt2 cm. Using the circle's area we can find the diagonal of the square, as shown below:

area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222

Since the diameter of the circle is the same as the diagonal of the square, then:

x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971

The side of the square is 5.971 cm

8 0
3 years ago
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Solve for x in<br> 2 - 3(x + 4) = 8
AysviL [449]

Answer:

x = -6

Step-by-step explanation:

2 - 3(x + 4) = 8

=> 3(x + 4) = 2 - 8 = -6

=> x + 4 = -6/3 = -2

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3 years ago
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What is the first step in simplifying the expression 11x-2-3(1-7x)^2/(x+1) ? square the binomial multiply the binomial by 3 divi
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Answer:

Square the binomial :)


Step-by-step explanation:


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3 years ago
A dose of a new pharmaceutical drug is decaying according to the half-life model f(t) = Ne-0.2174, where N is the dose
Rudiy27

Answer:

  14.7

Step-by-step explanation:

Perhaps your equation is ...

  f(t) = N·e^(-0.2174t)

We want f(6) = 4, so ...

  4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N

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The dose amount was about 14.7 mg.

6 0
4 years ago
Enter the percent as a decimal and as a fraction in simplest form.
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90 written as a fraction is 9/10
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