Given the equation - x² + 5x = 3, which can be rewritten as:
- x² + 5x - 3 = 0
where a = -1, b = 5 and c = -3.
Quadratic formula:
![\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2\text{ - 4ac}}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7Bb%5E2%5Ctext%7B%20-%204ac%7D%7D%7D%7B2a%7D)
Now, we just replace the values of a, b and c on the equation above.
![\frac{-5\text{ }\pm\text{ }\sqrt[]{5^2\text{ - 4(-1)(3)}}}{2(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%5Ctext%7B%20%7D%5Cpm%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B5%5E2%5Ctext%7B%20-%204%28-1%29%283%29%7D%7D%7D%7B2%28-1%29%7D)
=
Answer: 0.4127
Step-by-step explanation:
The probability formula to find p(F/E):
p(F/E)= N(E n F) / N(E)
p(F/E)= 260 / 630
p(F/E) = 0.4127
Answer:
$14 for the shiny wrapping paper
Step-by-step explanation:
6x + 4y = 104
8x + 12y = 232
x=8 y=14
Answer: There were 7 children
Step-by-step explanation:
Let's use <em>x </em>to represent the children and <em>y </em>to represent the adults.
We know they combine to make a group of 25 people so x+y=25
We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201
I will solve by substitution.
Solve for y in the first equation

Sub in our value for y into the other equation and solve for x

Step 1) Simplify

Step 2) Subtract 250 from both sides

Step 3) Divide both sides by -7

Answer:
(30) = 4
Step-by-step explanation:
g(x) = 8x -2
Let g(x) = y
y = 8x -2 (note: y is the range and x is the domain, we need to rearrange to make x the range and y the domain instead)
y + 2 = 8x
x = (1/8) (y + 2)
hence the inverse of g(x) is
(y) = (1/8) (y + 2)
(30) = (1/8) (30 + 2) = 4