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Anastaziya [24]
2 years ago
8

I need help with this one please help meee

Mathematics
1 answer:
Ket [755]2 years ago
3 0
Sheeeeeeeeeeesh I feel bad for you
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Expand using pascal triangle (3x+2)^4
Liula [17]

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

6 0
3 years ago
Determine if the equation 2x=y represents a proportional relationship.
Romashka-Z-Leto [24]

Answer:

<h3> <u>Y</u><u>E</u><u>S</u><u> </u></h3>

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Proportional Relationships

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

The graph of the proportional relationship equation is a straight line through the origin.

5 0
2 years ago
A circular sign is precisely designed to have an area of 50.24 square inches. What is the sign's circumference?
choli [55]

Step-by-step explanation:

First of all we need to know the formula for the circumference which is: c=2\pi r

We don't have the radius. What we only have is the area; therefore, we must use the area formula and extract the radius from it.

The formula for the area is: A=\pi r^2 Solve for r;

r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }

r=\sqrt[]{\frac{50.24inch^2}{3.14} }

r=\sqrt[]{16inch^2}\\ r=4inch

Now that we've found the radius, we simply plug it into the circumference formula.

C=2\pi r\\C=2(3.14)(4)\\C=25.12inch

5 0
2 years ago
Graph the piecewise function given below.
Kazeer [188]

Answer:

this may help you.look it once.

8 0
3 years ago
10k to the third power + 8k to the second power + 10 divided by (k+1)
torisob [31]
10k^4+10k^3+8k^2+8k+10/k+1 not sure if this is what you are looking for or not hope it helps
6 0
3 years ago
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