Answer:
the linear graph man
please why ask ezzy questions
Answer:
- the largest number that cannot be made is 23
- see below for an explanation
Step-by-step explanation:
<em>Why numbers greater than 23 can be made</em>
From any number that Larry can make that includes an appropriate number of stamps, Larry can ...
- add 1 by adding 1×9 and taking away 2×4
- add 2 by adding 2×9 and taking away 4×4
- add 3 by adding 3×9 and taking away 6×4
- add 4 by adding 1×4
- add 5 by adding 4 and 1 (add 9, take away 4)
- add 6 by adding 4 and 2 (add 2×9, take away 3×4)
- add 7 by adding 4 and 3 (add 3×9, take away 5×4)
- add 8 by adding 2×4
- add 9 by adding 1×9
Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.
Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.
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<em>Why 23 cannot be made</em>
For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:
- 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
- 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
- 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.
Therefore, 23 cannot be made.
The answer is B. because overall he ran 2 miles.
Answer:
2 Real Roots
Step-by-step explanation:
The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.
If D>0 there are two real roots, D=0 one real root and D<0 no real roots.
D = b^2+4ac
D = 10^2+4(-4)(-8)
D = 100+32*4
D = 100+128
D = 228
since 228>0
There are 2 real roots
