Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
To solve for p, we can simply divide both sides of our equation by 1.03 to get
So our orignal amount, to the nearest penny, was £631.07
Answer:
x=4
y=3
Step-by-step explanation:
we have the following equations
3x+y=15 equation 1
5x-4y=8 equation 2
using equation 1 we have:
y=15-3x equation 3
using equation 3 in equation 2 we have:
5x-4(15-3x)=8
5x-4*15+4*3x =8
5x-60+12x = 8
17x=68
x=68/17
so we have x=4
finally in equation 3:
y = 15-3(4)
y = 15-12
y = 3
Answer:
7
Step-by-step explanation:
twice for joey's age so joeys age is 2 double that it will be 4 so 3+4=7
Answer:
Step-by-step explanation:
you have to add a table
