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3 years ago

(a) Compute the sums of the squares of Rows 1-4 of Pascal's Triangle. That is, compute:

1 answer:

3 0

It's impossible to solve all that you give but I think I can help you. There are many different sites which have soft that can solve tasks like this. Just enter what you need in search bar and follow the first link you see.

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

How can I solve these problems

Anuta_ua [19.1K]

Here’s the first few and you can do the rest with the same principles. If you need more help with the last ones then let me know

4 0

3 years ago

Really need help! Brainliest to correct!

zlopas [31]

Answer:

<u>Given</u>:

R(x) = 59x - 0.3x²
C(x) = 3x + 14

<u>Find the following</u>:

P(x) = R(x) - C(x) = 59x - 0.3x² - 3x - 14 = -0.3x² + 56x - 14
R(80) = 59(80) - 0.3(80²) = 2800
C(80) = 3(80) + 14 = 254
P(80) = 2800 - 254 = 2546

7 0

3 years ago

Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all

bezimeni [28]

Answer:

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

6 0

2 years ago

Solve the equation x. 6/∑/n-1 (x-3n)=-3

antiseptic1488 [7]

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE x4n−3

DIFFERENTIATE W.R.T. X (4n−3)x4(n−1)

3 0

3 years ago