Answer:
1. 27 pounds
2. Welsh corgi
3. Welsh corgi
sorry mine didn't tell me to explain it just gives multiple choice hope this helps
Step-by-step explanation:
Answer:
10.63cm
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
(square root of 32)^2+(9)^2=113^2
The square root of 113 is 10.63.
I hope this helps :)
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
82.20
Step-by-step explanation:
To figure out the answer here, all you have to do is plug the given point into your equations and see if the result is true:
(4, 2) .... aka (x, y)
2 - 4 = 2
-2 = 2 ... this one is FALSE, as -2 doesn't equal 2, so already you can tell that the point won't be a solution, but still, check the second equation.
-3(4) - 2(2) = -8
-12 - 4 = -8
-16 = -8 .... this one is also false. (4, 2) is not a solution for this system of equations.
