<h3>
Answer: Largest value is a = 9</h3>
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Work Shown:
b = 5
(2b)^2 = (2*5)^2 = 100
So we want the expression a^2+3b to be less than (2b)^2 = 100
We need to solve a^2 + 3b < 100 which turns into
a^2 + 3b < 100
a^2 + 3(5) < 100
a^2 + 15 < 100
after substituting in b = 5.
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Let's isolate 'a'
a^2 + 15 < 100
a^2 < 100-15
a^2 < 85
a < sqrt(85)
a < 9.2195
'a' is an integer, so we round down to the nearest whole number to get 
So the greatest integer possible for 'a' is a = 9.
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Check:
plug in a = 9 and b = 5
a^2 + 3b < 100
9^2 + 3(5) < 100
81 + 15 < 100
96 < 100 .... true statement
now try a = 10 and b = 5
a^2 + 3b < 100
10^2 + 3(5) < 100
100 + 15 < 100 ... you can probably already see the issue
115 < 100 ... this is false, so a = 10 doesn't work
Answer:
12 months
Step-by-step explanation:
Given data:
Before joining club 6 books read
3 books every month
total books read 42
books read after joining the club = 42 - 6
books read after joining the club = 36
Months she has in book club = 36/3
Months she has in book club = 12 months
Answer:
C
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the one which is near to x
The equation of the line is y - 3 = 5(x - 8) ⇒ c
Step-by-step explanation:
The point-slope form of the linear equation is 
, where:
- m is the slope of the line
is a point on the line
∵ The line passes through point (8 , 3)
∴ 
= 8 and 
= 3
∵ The slope of the line is 5
∴ m = 5
- Substitute these values in the form of the equation below
∵
∴ y - 3 = 5(x - 8)
The equation of the line is y - 3 = 5(x - 8)
Learn more:
You can learn more about the linear equations in brainly.com/question/1284310
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