We are given :

Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :

=
=
=
Step 2:
Now we take square root of the factorised form

= 
Answer : (2x-5)
Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (
,
) We can interpret the statement mathematically by means of the following expression:



Where
,
,
.
This system is reduced to a single equation and solved afterwards:




Now we evaluate
and
to obtain the natural numbers:


262 and 263 are consecutive natural numbers whose sum is 525.
Answer:
She should have substituted y = 17 - 2x in the first equation
Step-by-step explanation:
3x + 4y = 33
2x + y = 17
y = 17 - 2x
3x + 4(17 - 2x) = 33
3x + 68 - 8x = 33
5x = 35
x = 7
y = 17 - 2(7)
y = 3
x = 7, y = 3
Only one solution
Given the function f(x) = (x + 1)^2 - 3, we recognize that because of the x^2 factor we have a parabola that opens up. Its vertex is (-1, -3), which I have swiped from the given equation. The axis of symm is x= -1.
Answer:
6 slices
Step-by-step explanation:
The full pizza is 12 pieces. Divide 12 by 4 to find out how much she ate on Thursday. 1/4 of 12 is 3 so she ate 3 slices on Thursday. Subtract 3 from 12 to find out how much was left for the next day. There were 9 slices the next day. Next, divide 9 by 3 to find out what 1/3 of 9 is. 1/3 of 9 is 3 so subtract 3 from the 9 slices. 6 slices are the original pizza remain.