Answer:
2x+y=15x+y=10
Consider the first equation. Subtract 15x from both sides.
2x+y−15x=y
Combine 2x and −15x to get −13x.
−13x+y=y
Subtract y from both sides.
−13x+y−y=0
Combine y and −y to get 0.
−13x=0
Divide both sides by −13. Zero divided by any non-zero number gives zero.
x=0
Consider the second equation. Insert the known values of variables into the equation.
15×0+y=10
Multiply 15 and 0 to get 0.
0+y=10
Anything plus zero gives itself.
Answer:
The first choice is correct.
Step-by-step explanation:
First work out the common ratio r:-
a2 = a1r and a5 = a1 r^4
So r^3 = a1r^4 / a1r = 256/ 108
r = cube root (256/-108) = 4/3
So the explicit formula is 108(4/3)^(n-1)
we have that
I. Rewrite the equation by substituting the expression u in for sin x.
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
is equal to
using a graph calculator-----> see the attached figure
III. Use the zero product property to solve the quadratic equation.
(u-3)=0--------------> u=3
(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5
IV. Rewrite your solutions to Part III by replacing u with sin x.
sin x=3--------> is not the solution (sin x can not be greater than 1)
sin x=-0.50------>is the solution
V. Solve the remaining equations for x, giving all solutions to the equation.
sin x=-0.50
if the sine is negative
then
x belong to the III or IV quadrant
we know that
sin 30°=0.50
so
the solution for the III quadrant is
x=180°+30°-------> x=210°
the solution for the IV quadrant is
x=360°-30°------> x=330°
9514 1404 393
Answer:
- (f×g)(x) = 2x^2 +2x
- (f×g)(x) = 6y^2 -11y -35
Step-by-step explanation:
The distributive property applies.
1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)
(f×g)(x) = 2x^2 +2x
__
2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)
(f×g)(x) = 6y^2 -11y -35
_____
<em>Additional comment</em>
Please note in problem 2 that the function argument is x and the variable in the given expressions is y. This means the function value is exactly and only <em>6y^2 -11y -35 for any value of x</em>. It does not change when x changes. (We suspect a typo.)
Answer:
Step-by-step explanation:
Because the leftmost triangle is a 45-45-90 isosceles right triangle, 
The rightmost triangle is a 30-60-90 triangle, and the side lengths are in the proportion 
from shortest to longest. Therefore, 
