Answer:
24 Domain: s>=2 or s<=-2
25. 3x^2 +14x +10
26. x^2 -2x+5
Step-by-step explanation:
24. Domain is the input or s values
square roots must be greater than or equal to zero
s^2-4 >=0
Add 4 to each side
s^2 >=4
Take the square root
s>=2 or s<=-2
25. f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = 3u^2 +2u-6
g(x) = x+2
f(g(x) = 3(x+2)^2 +2(x+2) -6
Foil the squared term
= 3(x^2 +4x+4) +2x+4-6
Distribute
= 3x^2 +12x+12 +2x+4-6
Combine like terms
=3x^2 +14x +10
26 f(g(x)) stick g(x) into f(u) every place you see a u
f(u) = u^2+4
g(x) = x-1
f(g(x) = (x-1)^2 +4
Foil the squared term
= (x^2 -2x+1) +4
= x^2 -2x+5
Answer:
3 to the fourth power would basically mean 3 x 3 x 3 x 3
Step-by-step explanation:
Alot of people get this confused with 3 x 4 but when multuply to the power of four its 3 x 3 x 3 x 3 which is 81
Brainliest?
a. The independent variable is r. The dependent variable is m.
b. The domain is the set of numbers used in the independent variable. You can rent 0 videos, or 1 video, or 2 videos, etc., up to the amount of money you have. If you rent 0 videos, you are left with m = 30 - 3r = 30 - 3(0) = 30 - 0 = 30 dollars. If you rent 10 videos, you will have m = 30 - 3(10) = 30 - 30 = 0 dollars left. The domain is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The range is {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30}. Both the domain and range are discrete.
c. I can't do it online.
Number of boys enrolled is 105
<em><u>Solution:</u></em>
Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls
There are 245 total preschoolers
Ratio of boys and girls = 3 : 4
Number of boys : number of girls = 3 : 4
Let the number of boys be 3x
Let the number of girls be 4x
Total number of preschoolers = 245
Therefore,
number of boys + number of girls = 245
3x + 4x = 245
7x = 245
x = 35
Number of boys = 3x = 3(35) = 105
Thus number of boys is 105
