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Explanation:</h2><h2>
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Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
Answer:
x=9
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical.
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
ANSWER
D. 14
EXPLANATION
The ratio of the books in the book case are:
Red:Yellow:Green=3:5:2
The number of yellow books in the book case is 35.
If 5 corresponds to 35, then 2 green books will correspond to a less number of books,
By proportion, because it is going to be less more will divide.
The number of green books in the book case is
The radius of this circle is (B) 4.9 cm.
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To find the radius of the circle:</h3>
To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
- length of an arc = 18cm
- angle = 7/6π rads
- π= 3.14
Length of an Arc:
The formula for the length of an arc is given:
θ/360 × 
Let's substitute the values and solve:
From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
Know more about radius here:
brainly.com/question/24375372
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Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm
