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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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A comet is about 7.63 × 103 miles from Earth. Write this number in standard form.
Simora [160]

Answer:

7630

Step-by-step explanation:

We have that the distance of a comet from Earth is about 7.63*10³ .

This number is given in scientific notation.

We want to write this number in standard form.

Since we are multiplying by a power of 10, we move forward three times.

Therefore in standard form:

7.63 \times  {10}^{3}  = 7630

3 0
3 years ago
Use the quadratic formula to solve. Round to the nearest tenth if necessary.<br> 2x^2 -3x -7 = 0
abruzzese [7]

The quadratic formula is:

\frac{-b + \sqrt{b^2 - 4ac} }{2a} and  \frac{-b - \sqrt{b^2 - 4ac} }{2a}

In this case, a = 2, b = -3, and c = -7

So, we can plug in the numbers to get:

  \frac{-(-3) + \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)} and    \frac{-(-3) - \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)}

Simplifying, we get:

    \frac{3 + \sqrt{65} }{4} and   \frac{3 - \sqrt{65} }{4}

You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3

8 0
2 years ago
While mining, John found a large metal bar that contained 15 pounds of zinc. John also determined that the bar was 60% zinc. Wha
finlep [7]

Answer:

The total weight of the metal bar in pounds is 25 pounds

Step-by-step explanation:

Now, we have a metal bar which has a content of 60% zinc corresponding to 15 pounds.

Mathematically, let’s say the total weight of the metal composite is x pounds. It is 60% of this that is 15 pounds which is the content of the zinc

Mathematically;

60/100 * x = 15

60x = 15 * 100

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x = 1500/60

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4 0
2 years ago
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Answer:

first one should be $35.52

Second one $18.60

Step-by-step explanation:

3 0
3 years ago
Plz help for financial algebra
serious [3.7K]

Answer:  $277.91

<u>Step-by-step explanation:</u>

The average of the 2 highest salaried quarters is:

\dfrac{\$13,500+\$12,775}{2}=\dfrac{\$26,275}{2}=\$3,137.50

Divide that by 26 (weeks) to find out her average weekly salary:

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4 0
3 years ago
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