Answer:
Step-by-step explanation:
Cross multiply,
q(t+3) = 2 - 4t
Use distributive property: a*(b + c) =(a*b) + (a*c)
qt + 3q = 2- 4t
qt + 4t + 3q = 2
qt + 4t = 2 - 3q
t(q + 4) = 2 -3q
Answer:
1 ft : 2.5 yd or 1 ft : 2 1/2 yd
Step-by-step explanation:
He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.
4 ft : 10 yd
Divide both sides by 4.
1 ft : 2.5 yd or 1 ft : 2 1/2 yd
The answer is 3 // The ones in blue are the domain and the ones in red are the range
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer: It will take 7 stages for all 19,530 families to be called.
In the first stage, only 5 families are called.
In the second stage, we would have 5 x 5 = 25 families being called.
In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.
4th stage: 5^4 = 625
5th stage: 5^5 = 3125
6th stage: 5^6 = 15625
7th stage: 5^7 = 78,125
