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denis-greek [22]
3 years ago
14

X+3<9 answer pls 2x+5<12

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer:

first one: x<9 second: x<3.5 or 7/2

Step-by-step explanation:

first: substract 3 from both sides

second: substract 5 and then divide by 2

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
Nimfa-mama [501]

First of all, we can observe that

x^2-6x+9 = (x-3)^2

So the expression becomes

\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}

This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

7 0
2 years ago
Directions - Identify the key components, create an exponential equation, then answer the questions.
Tamiku [17]

Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.  

​Exponential Form:  y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b  

x

, a is the starting value, b is the base (rate).  

​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

​

​1) a =  15  

 4) Dogs after 1 years = 45  

 ​

​2) b =  3  

 ​5) Dogs after 2 years =   135

 

​3) Equation:    

y= 15 ×3x

 ​6) Dogs after 3 years =    

405

 

Step-by-step explanation:

8 0
3 years ago
What is 10 and 2/3 divided by 8?
postnew [5]
10 and 2/3 = 32/3
32/3 x 8 = 256/3
256/3 = 85.33333333333 repeating

4 0
3 years ago
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to
zubka84 [21]

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

x+10+4x+10+4x+16=117

9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

4 0
3 years ago
Given the points (5, 5) and (3, 7), write a linear equation that contains both in slope-intercept form.
zlopas [31]
First find slope
(7-5)/(3-5) = 2/-2 = -1
Slope intercept: y = mx + b
Y = -1x + b, plug in point
5 = -1(5) + b, b = 10
Equation: y = -1x + 10
5 0
2 years ago
Read 2 more answers
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