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2 years ago

Please help thank u

Mathematics

1 answer:

puteri [66]2 years ago

6 0

Answer:

$2 {x}^{2} + 13x + 15 \\ 2 {x}^{2} + 10x + 3x + 15 \\ 2x(x + 5) + 3(x + 5) \\ (2x + 3)(x + 5)$

$5 {x}^{2} + 21x + 4 \\ 5 {x}^{2} + 20x + x + 4 \\ 5x(x + 4) + 1(x + 4) \\ (5x + 1)(x + 4) \\$

$7 {x}^{2} - 59x + 24 \\ 7 {x}^{2} - 56x - 3x + 24 \\ 7x(x - 8) - 3(x - 8) \\ (7x - 3)(x - 8)$

$2 {x}^{2} + 11x - 13 \\ 2 {x}^{2} - 2x + 13x - 13 \\ 2x(x - 1) + 13(x - 1) \\ (2x + 13)(x - 1)$

$8 {x}^{2} + 29x - 12 \\ 8 {x}^{2} + 32x - 3x - 12 \\ 8x(x + 4) - 3(x + 4) \\ (8x - 3)(x + 4) \\ \\$

$12 {x}^{2} - 7x - 12 \\ 12 {x}^{2} + 9x - 16x- 12 \\3x(4x + 3) - 4(4x + 3) \\ (3x - 4)(4x + 3)$

$- 12 {x}^{2} - 35x - 18 \\ - 12 {x}^{2} - 8x - 27x- 18 \\ - 4x(3x - 2) - 9(3x - 2) \\ ( - 4x - 9)(3x - 2)$

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The speed of light is estimated at 186,000 miles per second rounded to the nearest thousand miles per second.

4vir4ik [10]

It was rounding to the nearest THOUSAND.

We are looking at the thousands place, keep that in mind.

Remember: everything 5 and above is rounded up, everything below 5 is rounded down.

186,789 is above 500, it is rounded to 187,000

186,899 is above 500, it is rounded to 187,000

185,990 is above 500, it is rounded to 186,000

and 185,190 is below 500, it is rounded to 185,000

Only one matches the criteria of the question:

185,990 is above 500, it is rounded to 186,000

therefore the answer is 185,990 miles per second

Have a fantastic day!

7 0

2 years ago

Expand (2 + a)9 using Pascal’s triangle.

Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

1 $(A + B) ^ 0$ = 1

1 1 $(A +B ) ^ 1 = 1A + 1B$

1 2 1 $(A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2$

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1 9 36 84 126 126 84 36 9 1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

$1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B$

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

$1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9$

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

$A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9$

Hope you can learn the method

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2 years ago

What is the area of the parallelogram?

Marizza181 [45]

Answer:

0.6

Step-by-step explanation:

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2 years ago

Find the median of the following set of data. Round your answer to the nearest hundredth, if necessary.

Usimov [2.4K]

The correct answer is 35.2 because when you arrange them in order from least to greatest, the middle is 35.2

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2 years ago

Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.

Virty [35]

Answer:

See below ~

Step-by-step explanation:

Details of the graph of the quadratic equation

Minimum value = -1
Domain : all real numbers
Range : y ≥ -1

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2 years ago