3x + 2y = 6 ⇒ -3x - 2y = -6
-x + y = -2 ⇒ <u>-3x + 3y = -6</u>
<u>-5y</u> = <u>0</u>
-5 -5
y = 0
3x + 2(0) = 6
3x + 0 = 6
<u> - 0 - 0</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
(x, y) = (2, 0)
H(h(x)) means to use the entire function h(x) as the x value in the function h(x)..
h(h(x)) = (x²+1)² + 1
= (x²+1)(x²+1) + 1
= (x^4 + x² + x² + 1) + 1
= x^4 + 2x² + 2
g(h(x)) means to use the entire function h(x) as the x value in the function g(x)..
g(h(x)) = 3(x² + 1)
= 3x² + 3
g(h(x))
Answer:x=40
Step-by-step explanation:
To find this
8 times the reciprocal of a number
We get
Assume the number is x
8×1/x=2×1/10
8/x=2/10
8/x=1/5
Cross multiply
x=40
I’m sorry I usually drink water you can lose a lot of water while doing that . Try to not a lot maybe some crackers
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.