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Vesna [10]
3 years ago
6

Identify a and b in the binomial expression (2x3 + 3y2)7.​

Mathematics
2 answers:
Shkiper50 [21]3 years ago
8 0

\text{Hey there!}

\text{Distribute the value of 7 in each of your terms}

\text{(2x}^3+\text{3y}^2)(7)

\text{2x}^3\times7=\text{14x}^3

\text{3y}^2\times7=\text{21y}^2

\text{We cannot combine like terms because they AREN'T any in this equation}

\boxed{\boxed{\bf{Answer:14x^3+21y^2}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

kumpel [21]3 years ago
6 0

Answer:

a=2x^3 and b=3y^2

Step-by-step explanation:

The given binomial expression is:  (2x^3+3y^2)^7

A standard binomial expression is like  (a+b)^n

Comparing the given expression with the standard binomial expression.....

(a\ \ +\ \ b)^n \Longleftrightarrow (2x^3\ +\ 3y^2)^7\\ \\ So,\ \ a=2x^3\\ \\ and\ \ b=3y^2

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on a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(-3,1), B(2,3), and
Tomtit [17]
Hey There! Hope your having a great Evening! :)


Your answer will be A(-3,1)

Hope I helped! :)

-Duolingo

8 0
3 years ago
Can you help me with this.
user100 [1]

I hope this helps you

7 0
3 years ago
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0
1 year ago
What number must you add to complete the square x^2+2x=9
MAVERICK [17]

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x = 9

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1² = 9 + 1²

(x + 1)² = 10

5 0
3 years ago
Read 2 more answers
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