Answer:
x-intercept(s):
(−8,0)
y-intercept(s):
(0,6)
Step-by-step explanation:
Answer:
y = x² - 10x + 41
Step-by-step explanation:
The standard form of a quadratic is ax² + bx + c : a ≠ 0
Given
y = (x - 5)² + 16 ← expand (x - 5)²
= x² - 10x + 25 + 16
= x² - 10x + 41 ← in standard form
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
Lets say that the first number is x and the second number is y.
from the question we know that:
y=-3x and x+y=-4
from there, you need to replace the y in the second equation with -3x since we know that is what y equals so we can have an equation with only one variable.
x+-3x+-4
Then you solve for x.
-2x=-4
x=2
then you find y with the fact that y=-3x
y=-6
Answer:
92 pounds
Step-by-step explanation:
Here is the complete question ;
4 people are going to a dinner party. Each person at the party will eat 23 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?
total pounds to be bought = number of people at the party x total pounds they would eat
4 x 23 = 92 pounds
