Answer:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
Answer:
a. 2
b. -1 or 2
Step-by-step explanation:
When the funtion h(x) is at 0, or h(0), the y value is visibly shown to be at 2. When the function's y-value is at -2, you need to find the x values which make that the case. You can see that at x=-1, the y value is at -2, making this our first value. You can also see the function meet -2 when x =2, making this the second value. Hope this helps!
Answer:
x=3, y =2
(3,2)
Step-by-step explanation:
y =2/3 x
y = -2/3 x +4
set them equal to each other y=y
2/3 x = -2/3 x + 4
add 2/3 x to each side
2/3 x+2/3x = -2/3x + 2/3 x + 4
4/3 x = 4
multiply by 3/4 on each side to clear the fraction
3/4 * 4/3 x = 3/4 * 4
x = 3
now we need to find y
y = 2/3 x
y = 2/3 * 3
y =2
Answer:
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
Step-by-step explanation:
x = Number of hockey games Infotron should produce
y = Number of soccer games Infotron should produce
Number of labor-hours for assembly = 2x + 3y
Number of labor-hours for testing = 2x + y
Now we can write our equations system, this way:
2x + 3y = 44
2x + y = 32
*********************
Expressing y in terms of x in the 2nd equation:
2x + y = 32
y = 32 - 2x
********************
Substituting y and solving for x in the 1st equation:
2x + 3y = 44
2x + 3 * ( 32 - 2x) = 44
2x + 96 - 6x = 44
-4x = 44 - 96
-4x = - 52
x = -52/-4
x = 13
*****************
Solving for y in the 2nd equation:
2x + y = 32
2 * 13 + y = 32
26 + y = 32
y = 32 - 26
y =<u> 6</u>
<u>Infotron should produce each day 13 hockey and 6 soccer games</u>
