Answer:
y = x-2
Step-by-step explanation:
y = mx + b as an equation
m = slope
slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁) = (y₁-y₂)/(x₁-x₂) = (2-(-2))/(4-0) = 4/4 = 1
y = 1*x + b
plug a value in, e.g. (0, -2)
-2 = 1 * 0 + b
-2 = b
our equation is thus
y = x - 2
The different possible mixtures can you make is 1716
.
<u>Step-by-step explanation:</u>
Given that,
- The total number of flavors available in the shop = 13 flavors
- The number of flavors you need to choose = 6 flavors
Here, we have to use the formula for combination,
nCr = n! / r! × (n-r) !
where,
- n is the total number of flavors
- r is the number of flavors you need to choose
⇒ 13C6 = 13 ! / 6! × (13-6)!
⇒ 13! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 × 7! / (6! × 7!
)
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6!
⇒ 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
⇒ 1716
Therefore, you can 1716 different possible mixtures.
Answer:
Constant of proportionality(X:Y) = 1:6
Step-by-step explanation:
Given:
X- 5, 6, 7, 8, 9
Y- 30, 36, 42, 48, 54
Find:
Constant of proportionality
Computation:
X/Y = 5/30 = 6/36 = 7/42 = 8/48 = 9/54
X/Y = 1/6 = 1/6 = 1/6 = 1/6 = 1/6
So;
Constant of proportionality(X:Y) = 1:6
=(5x+4)°
=(2x-2)°
=(4x-6)°
we know that,
=
+
According to the question,
so,
=(4x-6)°=(4×12-6)°=(48-6)°=42°
