Answer:
A. 0
B. -66
C. 4
D. 998
E. -12
Step-by-step explanation:
A. By definition, the sum of anything and its additive inverse is zero.
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B. If you have trouble with sums, your calculator can help.
-22 + (-44) = -22 -44 = -66
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C. -36/x = -9 can be solved by multiplying by x and dividing by -9:
-36 = -9x
-36/-9 = x = 4
Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.
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D. The absolute value function changes the sign of negative numbers to positive:
|-998| = 998
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E. If you have trouble with sums, your calculator can help.
(−2)−[(−3)−(−7)−(−6)]
= -2 -(-3 +7 +6) = -2 -10 = -12
Answer:
16 pounds.
Step-by-step explanation:
As you said, objects weigh 6 times more than what they weigh on the moon. Therefore, the robot originally weighing 96 pounds will be reduced to 16 pounds.
16*6=96. (Original Weight)
96/6=16. (Weight after being on the moon.)
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
I hope this helps you
2x+5-3x+2=7-x
3x-2-2x-5=x-7
2x+5+3x-2=5x+3
