When you're multiplying by a power of 10 such as 100, the decimal point moves two places to the right. Note that this corresponds with the number of zeroes in 100. Of course our number is going to get bigger, not smaller, which means we'd have to be going right. If we multiplied by something like 0.001, we'd also be going two places, just going smaller and to the left.
Answer in fraction form: -17/4 < x < 11/4
Answer in decimal form: -4.25 < x < 2.75
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Work Shown:
|4x+3| - 9 < 5
|4x+3| < 5+9 .... adding 9 to both sides
|4x+3| < 14
-14 < 4x+3 < 14 .... see note at the bottom
-14-3 < 4x < 14-3 .... subtracting 3 from all sides
-17 < 4x < 11
-17/4 < x < 11/4 .... divide all sides by 4
-4.25 < x < 2.75
This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.
Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.
Note that the slope-intercept form is: y = mx + b
First, set the equation as such
2x (-2x) + 3y = (- 2x) + 15
3y = -2x + 15
Isolate the y. Divide 3 from both sides
(3y)/3 = (-2x + 15)/3
y = (-2/3)x + 5
-2/3 is your slope
hope this helps
Answer:
it is 4/45
Step-by-step explanation:
i wrote down and did the work on a piece of paper
Answer:
9/8, 18/16, 27/24, 36/32, 45/40, 54/48, 63/56, 72/64, 81/72, 90/80, and so on ...
Explanation:
Two fractions are equivalent when they are both equal when written in lowest terms. The fraction 18/16 is equal to 9/8 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (9/8) by the same integer number, ie, multiply by 2, 3, 4, 5, 6 ...
18/16 is equivalent to 9/8 once 9 x 2 = 18 and 8 x 2 = 16
27/24 is equivalent to 9/8 once 9 x 3 = 27 and 8 x 3 = 24
36/32 is equivalent to 9/8 once 9 x 4 = 36 and 8 x 4 = 32
