You have to make them have the same denominator so
1/2=2/4
Then you add them together
2/4+3/4=5/4
You have to make it a mixed fraction.
4 goes into 5 one time and has a remainder of 1 so you get 1 and 1/4?
Answer:
The answer is A
Step-by-step explanation:
<span>The given number is a decimal which is a repeating
decimals.
=> 8.63 or 8.6333, because it says that is has a 3 repeating decimals.
to convert this into a fraction, simply know the place value of the decimal and
divide it with its value
=> 8.63 has 2 digits after the decimal points , so that has a hundredths
value
=> 863/100
=> 8 63/100, now a mixed number where 8 is the whole number and 63/100 is
the fraction.
=> 8.6333 has 4 digits after the decimal points, so that’s ten thousands
value
=> 86 333/10 000
=> 8 6333/10 000, the same value as the other.
</span>
Answer:
<u>1. 3x^2 + 4x - 5 = 0</u>
<u>x₁ = (-2 + √19)/3</u>
<u>x₂ = (-2 - √19)/3</u>
<u>2. X^2 - 13x + 42 = 0</u>
<u>x₁ = 7</u>
<u>x₂ = 6</u>
Step-by-step explanation:
1. Let's solve for x using the quadratic formula this way:
3x^2 + 4x - 5 = 0
x = [-4 +/- √(4² - 4 * 3 * -5)]/2 * 3
x = [-4 +/- √(16 + 60)]/6
x = [-4 +/- √76]/6
x = [-4 +/- 2√19]/6 (√76 =√4 * 19)
x = -2 +/- √19/3
<u>x₁ = (-2 + √19)/3</u>
<u>x₂ = (-2 - √19)/3</u>
2. Let's solve for x, factoring this way:
X^2 - 13x + 42 = 0
(x - 7) (x - 6) = 0
<u>x₁ = 7</u>
<u>x₂ = 6</u>