Answer:
a) x = -9
b) p = (q - x)/3
Step-by-step explanation:
a) Substitute the values in to the equation
x = 3p + q
x = 3(-2) + -3
x = -6 + -3
x = -9
b) Make p the subject
x = 3p + q
(add 3p to both sides)
x + 3p = q
(subtract x on both sides)
3p = q - x
(divide on both sides)
p = (q - x)/3
Answer:
48 fl oz
Step-by-step explanation:
Given that 1 cup is 8 fl oz, and 2 cups is a pint, 1 pint is 16 fl oz.. Three pints would be triple that value, and so 16x3=48 fl oz.
Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
Answer:x^2-y^2
Step-by-step explanation:
(x+y)(x-y) = x^2 -xy +xy -y^2 so it becomes x^2-y^2
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.