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siniylev [52]
3 years ago
10

Determine the domain of the following graph

Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Answer:

-3 ≥ x ≥ 9

Step-by-step explanation:

The domain are the x-values of every point in your graph. Since it a continuous domain, it'll be represented with ≥. Your two extremities are -3 and 9. Therefore, your domain is -3 ≥ x ≥ 9.

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Need help on this Please answer ASAP
Vedmedyk [2.9K]

Domain:\ x\neq0\\\\\dfrac{1}{x}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{1\cdot3x}{x\cdot3x}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{3x}{3x^2}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{3x+1}{3x^2}=\dfrac{1}{3x}\qquad\text{cross multiply}\\\\(3x)(3x+1)=(3x^2)(1)\qquad\text{use distributive property}\\\\(3x)(3x)+(3x)(1)=3x^2\\\\9x^2+3x=3x^2\qquad\text{subtract}\ 3x^2\ \text{from both sides}\\\\6x^2+3x=0\\\\3x(2x+1)=0\iff3x=0\ \vee\ 2x+1=0\\\\3x=0\qquad\text{divide both sides by 3}\\x=0\notin Domain

2x+1=0\qquad\text{subtract 1 from both sides}\\\\2x=-1\qquad\text{divide both sides by 2}\\\\\boxed{x=-\dfrac{1}{2}}\to\boxed{A)}

8 0
3 years ago
Lisa sold 11 shirts for every 7 shirts Becky sold. If the girls sold 72 shirts in all, how many shirts did Becky sell?
Eva8 [605]

Answer: 28 shirts

Step-by-step explanation:

From the question, we are informed that Lisa sold 11 shirts for every 7 shirts Becky sold. This can be expressed in a fraction as:

Lisa = 11/(11 + 7) = 11/18

Becky = 7/(11 + 7) = 7/18

If the girls sold 72 shirts in all, the number of shirts sold by Becky will be:

= 7/18 × 72

= 7 × 4

= 28

8 0
3 years ago
Can anyone help me with this? °°<br> ∪
zloy xaker [14]

Answer:

a tree was 5 meters tall. a person used a chainsaw to cut 1/4 of the tree. how tall is the tree now?

also, please don't copy the answer word for word.

6 0
3 years ago
Tia and her 5 friends are going to the ice skating ring. Each person pays $5 for admission and $5 for food. Write a numerical ex
dedylja [7]
The expression would be (5*6)+(5*6)=x
or you could shorten it and do (10*6)=x
8 0
3 years ago
Answer?! Thanks I appreciate it
LenKa [72]
6.02 - 3.9 = 2.12 km
Convert 2.12 km to meters.
2.12 km = 2,120 meters.
4 0
3 years ago
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