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>
Answer:
0.04
Step-by-step explanation:
Have a nice day!
Answer:
A) y = 0.76x + 3.72
Step-by-step explanation:
Data points: (2, 5) and (11,12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-5)/(11-2)
m=(7)/9
m= 0.78
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = 0.78(x - 2)
y - 5 = 0.78x - 1.56
y = 0.78x + 3.44
Choice A is the closest to this solution
First, write out the given datas
Interest I = $11,000
Rate R = 9.5%
Time T = 15 years
Principal P = ?
Next, use the Interest formula below, to find the Principal p.
Next, substitute the value of I, T and R to find the Principal.
Final answer:
P = $7719.3
<u>Answer:</u>
P(A') = 0.75
<u>Step-by-step explanation:</u>
We are given that the probability P(A) = 0.25 and we are to determine the probability of the complement of A.
According to the Complement Rule of any probability, the sum of the probabilities of an event and its complement must be equal to 1.
So for for the event A,
P(A) + P(A') = 1
0.25 + P(A') = 1
P(A') = 1 - 0.25
P(A') = 0.75