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3 years ago

How do I solve this

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

You wanna find a common denominator so put the problem like this

3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15

now it will look like this

3 1/15

-2 2/15
———-

Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.

2 11/15

-2 2/15
-———-
0 9/15

Thats your official answer 9/15 hope I helped :)

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Find the zeros of the following expression x^2+5x+6 show all work

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Let y = 0 to find the zeros.
$x^{2} + 5x + 6 = 0$

We can now split the middle term into factors of 6 that add up to 5.
$x^{2} + 3x + 2x + 6 = 0$

Group the first two terms, and group the last two terms, and factorise.
$(x^{2} + 3x) + (2x + 6) = 0$
$x(x + 3) + 2(x + 3) = 0$

Group like terms.
$(x + 3)(x + 2) = 0$

Now, we know that in order for a zero to occur, either x + 3 = 0 or x + 2 = 0.
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4 years ago

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Answer:

a) The formula for the sequence is

$a_n = 67,000 -3,000(n-1)$

b) $a_7 = 49,000$

Step-by-step explanation:

Note that the difference between any two consecutive terms in the sequence is always equal to $3,000

$67,000-70,000= -3,000\\\\64,000-67,000=-3,000$

Then we have an arithmetic sequence where each term increases by a magnitude of 3,000 with respect to the previous term.

The explicit formula for an arithmetic sequence is:

$a_n = a_1 +d(n-1)$

Where d is the common difference between the consecutive terms of the sequence

$d = -3,000$

$a_1$ is the first term, or the value of the house after year 1 $a_1= 67,000$

n represents the number of years since the house was purchased

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

a) Then the formula for the sequence is

$a_n = 67,000 -3,000(n-1)$

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

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

b) Now we can use the formula to find the price of the house after 7 years

$a_7 = 67,000 -3,000(7-1)$

$a_7 = 67,000 -3,000(6)$

$a_7 = 49,000$

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3 years ago

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meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

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If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

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Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

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