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3 years ago

Let f(x) = 6x2 + 5 and g(x) = 3x-5. Find g(f(0))

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

Step-by-step explanation:

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What is 11 5/8 divided by 2/3?

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5
11*---
8
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55
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3 years ago

What's the area of this shape?

Aliun [14]

Answer:

The area of this shape is 16 square feet.

Step-by-step explanation:

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3 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

<u>Answer:</u>

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

<u>Solution: </u>

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

1 pol

BigorU [14]

In 3 hours, they could bake 87 birthday cupcakes. If you divid 145 by 5 this gives you 29, and you multiply this by 3 to find how many can be made in 3 hours, which gives you 87:) hope this helps!

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3 years ago

And aquarium tank hold 169 gallons of water. How much is this in meters? Use the following conversion: 1 gallon is 3.8 m.

Mkey [24]

642.2 is the answer if you multiply 3.8x169

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3 years ago