Answer:
Yes
Step-by-step explanation:
To find the answer, you just have to plug the (x,y) values into the equation to see if it is true.
3(1) > 5(-6) -12
3 > -30 -12
3 > -42
Since 3 > -42 the ordered pair is a solution to the inequality
Answer:
24% saline
Step-by-step explanation:
Find how much saline is in both solutions:
7(0.27)
= 1.89
3(0.17)
= 0.51
Add this together:
1.89 + 0.51
= 2.4
Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:
2.4/10
= 0.24
So, the concentration of the mixture is 24% saline
Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
Inequalities require a sign of greater than, less than, greater than or equal to, or less than or equal to. It's never just a single number solution. It's always going to be a range of solutions
as we know that <span>If the 4" side of the card was scaled up to 10.5
then the scaling factor is 10.5/4 = 2.625.
The 5 side would be the length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11.
Thus, it is the 5 side which is scaled up to 10.5 and the scaling factor is therefore 10.5/5 = 2.1.
The scaled up length of the 4 side is thus 4 x 2.1 = 8.4.</span>
