Given :
On a coordinate plane,a curved line with 3 arcs, lab led f of x, crosses the x-axis at (negative 2,0), (negative 1,0), (1,0), and (3,0) and the y axis at (0, negative 6).
To find:
f when x = 0. i.e. f (0).
Solution:
since the graph has 3 arcs and 4 solutions, it can be visualized as the follows:
Between each solution, the function has to increase and decrease giving arcs in between.
1. One of the arcs is between (negative 2,0) and negative (1,0)
2. Second arc is between (negative 1,0) and (1,0)
-this arc cuts the y axis, since x= 0 lies between x= -1 & x=1-
3. Third arc is between (1,0) and (3,0)
Therefore only the 2nd arc cuts the y axis
It’s given that the curve cuts the y axis at (0, -6)
That is when x= 0, f(0) =-6
Therefore the value of f (0) is -6 only.
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Answer:
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
Step-by-step explanation:
Checking all options
A. If the dividend is greater than the divisor, the quotient will be greater than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
THIS IS TRUE
B.If the dividend is less than the divisor, the quotient will be greater than 1
That is,
3 ÷ 4 = 0.75
Where,
3 is the dividend
4 is the divisor
0.75 is the quotient
NOT TRUE
C. If the dividend is equal to the divisor, the quotient will be less than 1
That is,
3 ÷ 3 = 1
Where,
3 is the dividend
3 is the divisor
1 is the quotient
NOT TRUE
D. If the dividend is greater than the divisor, the quotient will be less than 1.
That is,
4 ÷ 3 = 1.33
Where,
4 is the dividend
3 is the divisor
1.33 is the quotient
NOT TRUE
Therefore, option A is TRUE
Let's go through each answer.
A.
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
This is incorrect because 3.15+4.75 is closer to 8 than 7.
B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.
The correct answer is B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
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Answer:
the answer is 12!
Explanation: they are squared which are on the line of x
Distribute
Combine like terms
Add 1 and subtract 6x from each side
0 = 12
The equation has no real solution
