The percent increase in enrollment is 6 %
The operation used in first step is finding the difference between final value and initial value
<h3><u>Solution:</u></h3>
Given that This year, 1,272 students enrolled in night courses a a local college
Last year only 1,200 students enrolled.
To find: percent increase in the enrollment
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>
Here initial value (last year) = 1200 and final value(this year) = 1272
Substituting the values in above formula,
Thus percent increase is 6 %
Answer:
The square root of -16 would be 4 i. Hope this helps!
Step-by-step explanation:
<h3>
Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
Answer:
(x + 2) (x + 4)
Step-by-step explanation:
Before looking at my explanation make sure next time you are going to ask another question write the numbers that include exponents like this: x^2 instead of x2
Factor out x^2:
x + x
Factor out 6x:
Since it is in the bx form we’ll need two numbers be add so it can be equivalent to 6x
Answer: 4 and 2
Factor out 8:
4 x 2
Now start with the 8 and 6x
(? + 4) + (? + 2)
Then finish it off with x
(x + 4) (x + 2)
Answer:
Step-by-step explanation:
to find the inverse, just switch x and y
so if u have these points : (-3,9) , (-2,4), (0,0), (1,1)
the inverse would be : (9,-3) , (4,-2), (0,0), (1,1)
