Answer:
(3,10)
Step-by-step explanation:
From f(x)=10 you can see that the value of y,which is equal to f(x), is 10.
Therefore, the only option you could pick is that where y=10,which is the case for option (3,10).
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
Make the fractions into improper fractions
4 5/7= 33/7 - Multiply the denominator with the whole number. 4*7=28, add 28 with the numerator. 28+5=33 .
6 3/7=45/7 - Multiply the denominator with the whole number. 6*7=42 , add 42 with the numerator. 42+3=45
33/7*45/7
Multiply the numerators together. Multiply the denominators together.
33*45=1485 ( numerators) , 7*7=49 ( denominators)
=1485/49 or in mixed number: 30 15/49
Answer: 1485/49 , 30 15/49
Don't mind me, I just need points haha
So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.
Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.
