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dimaraw [331]
3 years ago
7

Find 3 different ratios that are equivalent to 7:3. Explain why these ratios are equivalent.

Mathematics
1 answer:
EastWind [94]3 years ago
7 0
14:6, 21:9, 28:12- they’re common multiples
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Factor<br> a²-a-12<br> Please
Paha777 [63]

Please find attached photograph for your answer.

7 0
2 years ago
How would you solve these 2 maths problems?
sweet-ann [11.9K]

Answer:

see explanation

Step-by-step explanation:

(9)

Expand and simplify right side and compare coefficients of like terms on left side.

(x - 2)(x² + ax + b) + c

= x³ + ax² + bx - 2x² - 2ax - 2b + c

= x³ + x²(a - 2) + x(b - 2a) - 2b + c

compare with

x³ + 2x² - 3x + 4

x² terms

a - 2 = 2 ( add 2 to both sides )

a = 4

x terms

b - 2a = - 3 ← substitute a = 4

b - 8 = - 3 ( add 8 to both sides )

b = 5

constant terms

- 2b + c = 4 ← substitute b = 5

- 10 + c = 4 ( add 10 to both sides )

c = 14

Thus a = 4, b = 5 and c = 14

-------------------------------------------------

(10)

Since both functions cross the x- axis at - 2 then (- 2, 0) satisfies both, that is

f(- 2) = (-2)^{4} + a(- 2)³ + b(- 2)² + 36(- 2) + 144 = 0, that is

- 16 - 8a + 4b - 72 + 144 = 0

- 8a + 4b + 56 = 0

- 8a + 4b = - 56 → (1)

and

g(- 2) = (-2)^{4} + (a + 3)(- 2)³ - 23(- 2)² + (b + 10)(- 2) + 40 = 0, that is

- 16 - 8(a + 3) - 92 - 2(b + 10) + 40 = 0

- 16 - 8a - 24 - 92 - 2b - 20 + 40 = 0

- 8a - 2b - 112 = 0

- 8a - 2b = 112 → (2)

Subtract (1) from (2) term by term

- 6b = 168 ( divide both sides by - 6 )

b = - 28

Substitute b = - 28 into (2)

- 8a + 56 = 112 ( subtract 56 from both sides )

- 8a = 56 ( divide both sides by - 8 )

a = - 7

Thus a = - 7 and b = - 28

5 0
3 years ago
The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to
Zepler [3.9K]

Answer:

The Bluejay Apartments

1. Tax Effects of the following Alternatives:

i. $1,000 damage deposit with no rent prepayment

No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.

ii. $500 damage deposit and $500 rent for the final month of the lease

Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded.  If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.

iii. $1,000 rent for the final two months of the lease and no damage deposit

Tax will be paid on the rent income of $1,000.

b) From a tax point of view, option i is recommended.

Step-by-step explanation:

According to the IRS, a security or damage deposit is not taxable when it is received by the landlord.  It becomes taxable income when the landlord is no longer obligated to return it to the tenant.  The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.

5 0
3 years ago
a communication satellite is 35800 km above the equator. Find its angle of elevation from Houston, whose latitude is 29.7
Ne4ueva [31]

Answer:

Step-by-step explanation:

7 0
3 years ago
EASY ALGEBRA 1 QUESTION:
lora16 [44]

Answer:

Trinomial

Step-by-step explanation:

yes they're considered terms

6 0
3 years ago
Read 2 more answers
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