Answer:
Not a solution.
Step-by-step explanation:
(x, y)
(-1, 2)
Substitute the x and y values in the expression with the point given.
8x + y > -6
8(-1) + 2 > -6
-8 + 2 > -6
-6 > -6
Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.
Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.
Answer:
when x = -1, y = -3
when x = -1, y = -1
when x = -1, y = 1
when x = -1, y = 3
Step-by-step explanation:
x = -1; plug in y = 2(-1) - 1 = -2 - 1 = -3
x = 0; plug in y = 2(0) - 1 = 0 - 1 = -1
x = 1; plug in y = 2(1) - 1 = 2 - 1 = 1
x = 2; plug in y = 2(2) - 1 = 4 - 1 = 3
Answer:
35 degrees
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The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.
A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.
In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.
Hope this helps!