Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Answer:
EF= 5.5
Step-by-step explanation:
7 + 4 = 11
11 divided by 2 = 5.5
Answer:
-2/9
Step-by-step explanation:
The first thing we should do is see what relationship we have:
Table is feet to yards 3-1
a. Describe the relationship between the number of feet and the number of yards
That is to say:
1Yarda = 3 feet
b. Write an expression for the number of yards in f feet
Let
y = Yard
f = feet
We have the following expression for the conversion:
y = (1/3) f
c. Find the number of yards in 63 feet
For this case we must substitute in the expression found the value of f = 63.
y = (1/3) f
y = (1/3) (63)
y = 21
answer:
1Yarda = 3 feet
y = (1/3) f
y = 21
Answer:
Option b is correct
Step-by-step explanation:
In order to check the end behavior of a polynomial function we just check the leading term and its coefficient and the procedure is as follows:
Here we can see that highest exponent of the polynomial function is 4
therefore degree of the polynomial is 4. and therefore 
is leading term.
because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of leading is negative therefore it falls at both ends. that is falls to the left and falls to the right.
therefore option b is correct.
