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4 years ago

How to do quadriatic equations

1 answer:

3 0

The quadratic formula helps us solve any quadratic equation. First, we bring the equation to form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

This is proven and I’m positive this is what your asking! BRAINLIEST please

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In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell

satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

The equivalent multiplier for an increase of a% is given by: $\frac{100 + a}{100}$

The equivalent multiplier for an decrease of a% is given by: $\frac{100 - a}{100}$

In this problem:

The price at the beginning of January was of a.

Increase of 20% in January, hence $1.2a$ .

Decrease of 20% in February, hence $1.2(0.8)a$ .

Increase of 25% in March, hence $1.2(0.8)(1.25)a$ .

Decrease of x% in April, hence $1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

$a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

$1.2\left(\frac{100 - x}{100}\right) = 1$

$\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}$

$\frac{100 - x}{100} = 0.8333$

$100 - x = 83.33$

$x = 16.67$

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0

2 years ago

g Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 36% of al

Llana [10]

Answer:

The answer is below

Step-by-step explanation:

Let S denote syntax errors and L denote logic errors.

Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56

a) The probability a program contains both error types = P(S ∩ L)

The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L) - P(L) = 56% - 47% = 9%

The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%

P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%

b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

c) The probability a program has logic errors, but not syntax errors = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%

d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

6 0

3 years ago

Read 2 more answers

How many angles is in a hexagon

andrezito [222]

A hexagon has Six sides

8 0

3 years ago

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Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi

irga5000 [103]

$\huge\boxed{18\ \text{points}}$

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.