Answer:
14, -7, -2
Step-by-step explanation:
<u>The coefficient is the number that multiplies the variable, so list the numbers that fall under that definition:</u>
14x - 7x + 1 - 2x
↑ ↑ ↑
14 -7 -2
<u>The coefficients in the expression are </u><u>14, -7, and -2.</u>
<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:
19?
Step-by-step explanation:
double of 4 is 8, double of 1/2 is 1 and adding them all together is 19
Christopher would be able to make 18 scarves.
To solve this problem, we just need to divide 12 by 2/3. To divide 12 by 2/3, we just multiply 12 by 3/2.
This will give us 36 over 2 or just 18.
Answer:
18%
Step-by-step explanation:
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.