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SVEN [57.7K]
3 years ago
15

The sum of three consecutive even integers is –78

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

24, 26, 28

Step-by-step explanation:

So the three consecutive even numbers become 'x', 'x+2′, 'x+4′. According to the given condition, the sum of three consecutive even numbers is 78. x=24. Hence the three consecutive even numbers are 24, 26 and 28. is this the answer you were looking for?

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
2 years ago
There are 45 boys and 54 girls in your school’s senior class. What is the ratio of boys to girls
strojnjashka [21]

Answer:

5/6

Step-by-step explanation:

The ratio is:

45 / 54

Or, reduced:

5 / 6

7 0
3 years ago
If you were to roll the dice one time what is the probability it will not land on 6
Naddika [18.5K]

Answer:

The chances that the dice will not land on 6 is 5/6.

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(X-3)(x+2)=0 find the zeros
Ivanshal [37]

Answer: Min = (0.5, −6.25)

Step-by-step explanation: Standard form:

x2 − x − 6 = 0

Factorization:

(x + 2)(x − 3) = 0

Solutions based on factorization:

x + 2 = 0   ⇒   x1 = −2

x − 3 = 0   ⇒   x2 = 3

6 0
3 years ago
Linda earns $ 617 each week working her full time job.
slava [35]

Answer:

$95.00

Step-by-step explanation:

gross=$617

tax deduction 15.4%

=617×0.154

=$95.00

8 0
2 years ago
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