Answer:
C
Step-by-step explanation:
y = (x - 2)² = x² - 4x + 4 → (1)
x + y - 2 = 0 → (2)
substitute y = x² - 4x + 4 into (2)
x + x² - 4x + 4 - 2 = 0
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
substitute these values into (2) and solve for y
x = 1 : 1 + y - 2 = 0 ⇒ y - 1 = 0 ⇒ y = 1 ⇒ (1, 1 )
x = 2 : 2 + y - 2 = 0 ⇒ y + 0 = 0 ⇒ y = 0 ⇒ (2, 0 )
the line intersects curve C at 2 points (1, 1 ) and (2, 0 )
Answer:
4^1/3 is greatest among the given
Step-by-step explanation:
√2 , 4^1/3 , 3^1/4
Find the LCM of 2, 3 , 4= 12
i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12
= (64)^1/12
ii ) 4^1/3 = 4^4/12 = (4^4)^1/12
= (256)1/12
iii )3^1/4 = 3^3/12 = ( 3³ )^1/12
= (27)^1/12
Therefore ,
(256)^1/12 > (64)^1/12 > (27)^1/12
4^1/3 > 2^1/2 > 3^1/4
4^1/3 is greatest among the given
number
Answer:
3/5x + 3/8
Step-by-step explanation:
2/5x + 5/8 + 1/5x - 1/4
1. Combine like terms so now u have
3/5x + <u><em>3/8 </em></u>
In case you want to know how I got 3/8
You want a common denominator so
from 5/8 + 1/4, make both denominator 8
so 1 *2/ 4* 2
so now you converted the 1/4 to 2/8
So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8
Hope this helped!
Answer is:
y= 1/2x +3
1/2x is the gradient
+3 is the y-intercept
Hope that helps!
ANSWER:
$18.90
EXPLANATION:
3L of fuel for every 100km
450km = 13.5L
13.5 x 1.40 = $18.90
