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Elodia [21]
3 years ago
8

I need help please. Solve this plz for A.

Mathematics
1 answer:
kirill [66]3 years ago
5 0

Answer:

3(- 6 + m)(- 4 + m)

Step-by-step explanation:

Given

72 - 30m + 3m² ← factor out 3 from each term

= 3(24 - 10m + m²)

To factor the quadratic

Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 6 and - 4, since

- 6 × - 4 = 24 and - 6 - 4 = - 10, hence

24 - 10m + m² = (- 6 + m)(- 4 + m) and

72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form

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The common difference of an arithmetic sequence is -5. If a12 is 22, what is a1?
Ne4ueva [31]

Answer:

77.

Step-by-step explanation:

an = a1 + (n-1)d    where d is the common difference.

a12 = a1 + 11d

22 = a1 +11(-5)

22 = a1 - 55

a1 = 22 + 55

a1 = 77.

4 0
3 years ago
Kenya jumped 7 and 1 sixth feet. Janet jumped 6 and 1 third feet. How much farther did Kenya jump?
lina2011 [118]
Kenya jumped 5/6 further
7 0
3 years ago
Simplify (3 + 6i) – (8 - 5i)<br> Select one:<br> a, -5 + i<br> b. 6<br> C. 16<br> d. -5 + 11i
Korolek [52]

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

8 0
3 years ago
Read 2 more answers
The math club sold roses and tulips this year for Valentine’s day. The number of roses sold was 8 more and 4 times the number of
kobusy [5.1K]
Answer : 76


Step by Step Explanation:

Substitute for "r" and solve for "t":
5(4t+8) + 2t = 414
22t + 40 = 414
22t = 374
t = 17 (# of tulips sold)
---
r = 4*17+8 = 76 (# of roses sold)
3 0
4 years ago
Inez has 20 coins consisting of dimes and quarters. How many of each type does she have if all together she has $4.10
erastovalidia [21]
X = # dimes
y = # quarters

x+y = 20 so x = 20 - y
0.1x + 0.25y = 4.1

substitute x = 20 - y into 0.1x + 0.25y = 4.1

0.1x + 0.25y = 4.1
0.1(20 - y) + 0.25y = 4.1
2 - 0.1y + 0.25y = 4.1
0.15y = 2.1
 y = 2.1 / 0.15
 y = 14

x = 20 - 14 = 6

answer
Dimes: 6 coins
Quarters: 14 coins

Double check
6 + 14 = 20 coins total
6(0.1) + 14(0.25) = 0.6 + 3.5 = $4.10
6 0
3 years ago
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