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Lady bird [3.3K]
2 years ago
11

Please help 30 points

Mathematics
1 answer:
leva [86]2 years ago
8 0
Wow this question is very difficult,hold up
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Zeros: x=1 (multiplicity 2) and x=-4
BARSIC [14]
Starting with x=1, subtract 1 from each side,
(x-1)=0

Our polynomial will have multiplicity of 2 for this particular zero,
(x-1)(x-1)

and do similar with the x=-4, add 4 to each side,
(x+4)=0

So our final result is: (x-1)(x-1)(x+4)

Expand out the brackets if you need this in standard form.
5 0
3 years ago
Which expression is equivalent to 15a^8b^4/5a^4b?<br> 3a^2b^4<br> 3a^4b^3<br> 10a^4b^3<br> 10a^4b^4
EleoNora [17]

Answer:

3 a^12 b^5

Step-by-step explanation:

Simplify the following:

(15 a^8 b^4 a^4 b)/5

15/5 = (5×3)/5 = 3:

3 a^8 b^4 a^4 b

3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):

3 a^(8 + 4) b^(4 + 1)

4 + 1 = 5:

3 a^(8 + 4) b^5

8 + 4 = 12:

Answer: 3 a^12 b^5

5 0
3 years ago
How many 7-digit phone numbers are possible, assuming that the first digit can’t be a 0 or a 1? (b) re-solve (a), except now ass
sladkih [1.3K]
A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

where the first digit cannot be 0 or 1.

so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.

this means there are 8*10*10*10*10*10*10=8* 10^{6} possible numbers.

b.

consider the numbers which start with 911. There are 10*10*10*10=10 ^{4} such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.

then we remove this number, from the one we found in a:

There are in total 8* 10^{6}-10^{4}=7,990,000 numbers which don't start with 911.


Answer:

a.8*10^{6}
b.7,990,000

3 0
3 years ago
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of
sveticcg [70]
Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)
8 0
3 years ago
Solve this quadratic equations: 10k^2-9k+2=0.<br><br> \large k= <br><br> \large k=
Dafna11 [192]
Solve the equation for k by finding a, b, and c of the quadratic then applying the quadratic formula.
Answer =
K= 1/2 , 2/5
4 0
3 years ago
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