Answer:
It is already in an increasing order
1. 4x - 8 Highest
2. 3x - 2
3. 2x + 1
4. 1x - 0 Lowest
Step-by-step explanation:
1. 56
2. 25
3. 9
4. 1
12
Remember to use PEMDAS when solving these problems. You multiply before you work with addition and subtraction.
Answer:
⇒ Add 8x to both sides of the inequality
⇒ x>1/5
Step-by-step explanation:
First, you subtract by 5 from both sides of equation.
5-8x-5<2x+3-5
Solve.
-8x<2x-2
Then subtract by 2x from both sides of equation.
-8x-2x<2x-2-2x
Solve.
-10x<-2
Multiply by -1 from both sides of equation.
(-10x)(-1)>(-2)(-1)
Solve.
10x>2
Divide by 10 from both sides of equation.
10x/10>2/10
Solve to find the answer.
2/10=10/2=5 2/2=1=1/5
x>1/5 is final answer.
Hope this helps!
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.
This problem is incomplete, but I think I know the probable question. Normally, you should have been given the target number of the company's video stores, so that you can replace the value of y and solve for x. Once you solve for x, you add this to year 1990 then you can solve for the year at which you can reach your target value. Suppose y = 3500 stores.
3500 = -264x + 4682
3500 - 4682 = -264x
-1182 = -264x
x = 4.48 years
Technically, that is equal to 4 years. Hence, the year would be 1990+4 = 1994.
