Please help I will give brainliest
2 answers:
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Answer:
It will take her 3 hours to read 120 pages.
Step-by-step explanation:
The number of pages read(y) after x hour can be modeled by a linear function in the following format:
In which a is the number of pages read per hour and b is the initial number of pages read.
A straight line goes through (0, 0)
This means that when
So
(0.5, 20)
When
So
The function in:
According to the graph, which statement must be true?
It will take her 2 hours to read 60 pages.
Less than 2 hours for 60 pages, so this is false.
It will take her 3 hours to read 120 pages.
This statement is true.
It will take her 4 hours to read 180 pages.
More than 4 hours to read 180 pages. So false.
It will take her 5 hours to read 210 pages.
More than 5 hours to read 210 pages. So false.
Answer:
1.B
2.A
3. B
Step-by-step explanation:
1.
We have the denominator of the fraction as following:
As the initial one is a fraction, so that its denominator has to be different from 0.
=> () ≠ 0
⇔ (x +1) (x +5) ≠ 0
⇔ (x + 1) ≠ 0; (x +5) ≠ 0
⇔ x ≠ -1; x ≠ -5
Replace it into the initial equation, we have:
As (x+5) ≠ 0; we divide both numerator and denominator of the fraction by (x +5)
=>
So that with x ≠ 1; x ≠ -5
So that the answer is B.
2.
As the initial one is a fraction, so that its denominator has to be different from 0
=> x + 4 ≠ 0
=> x ≠ -4
As is also a fraction, so that its denominator (x-1) has to be different from 0
=> x - 1 ≠ 0
=> x ≠ 1
We have an equation:
=>
Replace it into the initial equation, we have:
As (x + 4) ≠ 0 (proven above), we can divide both numerator and the denominator of the fraction by (x +4)
=>
So that the initial equation is equal to with x ≠-4; x ≠1
=> So that the correct answer is A
3.
As the initial one is a fraction, so that its denominator (4x + x^2) has to be different from 0
We have:
(4x + x^2) = 4x + x.x = x ( x + 4)
So that: (4x + x^2) ≠ 0 ⇔ x ( x + 4 ) ≠ 0
⇔ ⇔
As (4x + x^2) = x ( x + 4) , we replace this into the initial fraction and have:
As x ≠ 0, we can divide both numerator and denominator of the fraction by x and have:
So that with x ≠ 0; x ≠ -4
=> The correct answer is B