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2 years ago

9

Ivan has 15 yards of green felt and 12yards of blue felt to make 3 quiltsif ivan uses the same total number of yards for each qu

ilt how many yards does he use for each?

1 answer:

Juliette [100K]2 years ago

6 0

ivan used 5 yards of green for each quilt and 4 yards of blue for each quilt.

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Unit 5. 18) Amy covered an old garden with gravel. She bought 500 kg of gravel, and it covered a plot with an area of 36 square

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Answer:

I think the correct answer is option b.

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2 years ago

Use the zeros of the following quadratic to find the x-value of the vertex.

Ivan

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2 years ago

What's the rate for a 2,500 principle and a interest of 750 and time 3 years

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9.14% is the number rounded to the nearest hundredth

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2 years ago

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f*g and state its domain.

elixir [45]

Answer: The answer is (c) $-20x^2+14x-12;\textup{ all real numbers.}$

Step-by-step explanation: Given that there are two functions f and g, defined by

$f(x)=-4x-2,\\\\g(x)=5x-6.$

We are to find f*g and also its domain.

$(f*g)(x)\\\\=f(x)g(x)\\\\=(-4x-2)(5x-6)\\\\=-20x^2+24x-10x-12\\\\--20x^2+14x-12.$

Also, its domain will be all real numbers, since the function f*g is defined at all 'x' in real numbers.

Thus, the correct option is

$-20x^2+14x-12.$

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2 years ago

Read 2 more answers

Evaluate the integral

Kruka [31]

Hello, please consider the following.

$\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}$

And we can recognise the same integral, so.

$\displaystyle (25-1)\int\limits^x {5sin(5t)sin(t)} \, dt= +5sin(5x)cos(x)-25cos(5x)sin(x)$

And then,

$\displaystyle \Large \boxed{\sf \bf\int\limits^x {5sin(5t)sin(t)} \, dt=\dfrac{5sin(5x)cos(x)-25cos(5x)sin(x)}{24}+C}$

Thanks

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2 years ago