Evaluating each expression means to simplify the expression down to it's simplest form.
The answer is (-2,-3) Thank you and please rate if I helped you! Thanks again!
Answers: b, d and e
b.The graph has a relative minimum
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f(x)=(x+5)(x-3)
The given equation is in the form of f(x) = a(x-b)(x-c)
If 'a' is positive then graph has a relative minimum
If 'a' is negative then graph has a relative maximum
Here a=1 that is positive so graph has a relative minimum .
To find x intercept we set f(x) =0 and solve for x
0=(x+5)(x-3)
x+5 =0 -> x = -5 so x intercept is (-5,0)
x - 3=0 -> x= 3 so x intercept is (3,0)
To find y intercept we plug in 0 for x
y=(x+5)(x-3)
y=(0+5)(0-3) = -15
so y intercept is (0,-15)
Combine like terms.
4. 5x+9y+3x-2y
8x+7y
7. 22u-6u+4t+4t-8u
8u+8t
10. 23m+4n-3m
20m+4n
Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒
Therefore, the equation (1) becomes
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)