Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what
is.
To find it, you would take the reciprocal of the x amount. So
becomes
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase
to
, you would have to multiply a with
two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease
to
, you would have to divide
by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times:
means that you are dividing 1 by a 3 times.
Hope this helps.
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➷ 40 = 1.8c + 32
Subtract 32 from both sides:
8 = 1.8c
Divide both sides by 1.8:
c = 4.4
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Answer:
1
Step-by-step explanation:
(⅔)(¾) + ½
½ + ½
= 1
Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
T: 8x+19
7x-2(4-2x)+6(5-x)-x+2-(6x+5) = 7x-8+2x+30+6x-x+2-6x-5 = 8x+19
Y: 56-8x
9-(-2-3x)+4(-x+6)-x+12-3(2x-3) = 9+2+3x-4x+24-x+12-6x+9 = 56-8x