Mark had 6 pints of milk.
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
1. Plug in -3 for a
14-(-3)^2
14-9
5
Final answer: 5
2. 15 more than r=15+r (notice the keyword more) equals 61
Final answer: r+15=61
Answer:
Step-by-step explanation:
Sin(30) / X = Sin(45) / 12
use algebra to isolate X
1 / X = [ Sin(45) / 12 ] / Sin(30)
flip both sides
X = Sin(30) / [Sin(45) /12 ]
invert the denominator on the right side
X = Sin(30) * 12/ Sin(45)
Do you know what Sin(30) is off the top of your head?
and also Sin(45) ?
these are worth remembering... and you can b/c they are just
sin(0) = 0/2
sin(30) = 1 / 2
sin(45) =
/2
sin(60)=
/ 2
sin(90) =
/ 2 (aka 1)
note the numerators just counts up 0, 1, 2, 3, 4 :)
Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both =
/2 at 45 °
anyway
X = 1 / 2 * 12/
/2
X = 3
A=3
B= 2
:) nice , huh
<em>attachment</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>trucks/cars = 2/3 = x/9 = 30/y</em>
<em>x = 2×9/3 = 18/3 = 6</em>
<em>y = 3×30/2 = 90/2 = 45</em>
<em>Good luck ! </em>