Answer:
Step-by-step explanation:
Factoring x2-6x-30
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -6 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7
-2 + 15 = 13
-1 + 30 = 29
Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.
Let us check which digits will make 371? divisible by 3.
11 is not divisible by 3.
Now let us check other digits as well.
12 is divisible by 3.
15 is also divisible by 3.
18 is divisible by 3 as well.
Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.
a. 3 × 10^0
b. 33. 6 × 10^0
c. 57. 6 × 10^2
d. 4. 0 × 10^-7
e. 7. 0 × 10^-1
<h3>What is scientific notation?</h3>
Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.
It may be referred to as standard index form or scientific form.
From the information given, we have;
a. 0. 000003 is written in standard form as;
= 3 × 10^-6 × 3 × 10^6
= 3 × 10^-6 + 3
= 3 × 10^0
= 3
b. 56, 000, 000. 00 is written in standard form as;
= 5. 6 × 10^7 × 6 × 10^-7
= 33. 6 × 10^7 -7
= 33. 6 × 10^0
= 33. 6
c. 8. 0 × 10^-3 × 7. 2 × 10^5
= 57. 6 × 10^-3 + 5
= 57. 6 × 10^2
d. 4. 0 × 10^-3 × 4. 0 × 10^-4
= 4. 0 ^ -3 +(-4)
= 4. 0 × 10^-7
e. 7. 0 × 10^3 × 7. 0 × 10^4
= 7. 0 × 10^ 3-4
= 7. 0 × 10^-1
Thus, scientific notation is also referred to as standard form.
Learn more about scientific notation here:
brainly.com/question/27862246
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