Answer:
D
Step-by-step explanation:
First, simplify the equation.
-3x+1<7
-3x<6
x>-2 (the sign flips because you are dividing by negative)
> means x is greater than -2 so the line will go towards the right.
Because the sign is >, the dot is open.
Answer:
x = -76 , y = 57
Step-by-step explanation:
5x - 6y = -38
3x + 4y = 0
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use 4 to multiply equation 1
5x(4) - 6y(4) = - 38(4)
20x -24y = -152
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use 6 to multiply equation 2
3x(6) + 4y(6) = 0(6)
18x + 24y = 0
------------------------
20x - 24y = -152
18x + 24y = 0
----------------------
2x = -152
----------------
divide 2 by both sides
x = -76
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to find y, slot in the of x to either equation 1 or 2
--------------------------------
equation 2
3x + 4y = 0
3(-76) + 4y = 0
------------------------
-228 + 4y = 0
4y = 228 - 0
4y = 228
---------------------
divide both sides by 4
----------------------------------
y = 57
for this type of question, you can use
- substitution method
- elimination method
- graphical method
i used substitution method
hope it helps
less than means subtract
quotient is division
nineteen less than the quotient of a number and fifteen
n/15 - 19
Workers pay an average of 6.2 percent which is 127,000 a year. But <span>employers pay a matching amount for a combined contribution of 12.4 percent of earnings.
Meaning you are either getting 6.2 percent for being a WORKER.
or getting 12.4 percent for being a EMPLOYER.
In this question you are looking for employer so the answer is 12.4
</span>
Since we know the area of ΔACD as well as the measurement of the base, we will use these to find the length of the altitude. The formula for the area of a triangle is A=1/2bh. Our area is 30 and our base is 10, so we have:
30=1/2(10)h
30=5h
Divide each side by 5:
30/5=5h/5
6=h
The height of the triangle is also the height of the trapezoid. We can now find the area of the trapezoid. The formula we need is A=1/2(B+b)h. Substituting our numbers in, we have:
A=1/2(10+8)(6)=1/2(18)(6)=54
The area of the trapezoid is 54.
