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2 years ago

Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.

2 answers:

4 0

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

svp [43]2 years ago

4 0

Answer:

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle. For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7. simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

got it right on assignment.

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20 points What is the linear function equation represented by the graph?

tigry1 [53]

Answer:

F(x) = 2/3x + 3

Step-by-step explanation:

I found this out by first starting off with the equation, f(x) = mx + b. (b is the y intercept, m is the slope.) The y intercept, where the line passes through the y axis, is 3. (f(x) = mx + 3) Now, look at rise over run, and see that the slope is 2/3, since for every one it goes over, it goes up 2/3. your final equation is f(x) = 2/3x + 3

4 0

2 years ago

Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

8 0

1 year ago

Simplify this expression 5xy-x^2t+2xy+3x^2t

Dmitry_Shevchenko [17]

Answer:

$\large\boxed{5xy-x^2t+2xy+3x^2t=7xy+2x^2t}$

Step-by-step explanation:

$5xy-x^2t+2xy+3x^2t\\\\combine\ like\ terms\\\\(5xy+2xy)+(-x^2t+3x^2t)\\\\7xy+2x^2t$

6 0

2 years ago

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Simplify the following expression into the form a + bi, where a and b are rational numbers.

vagabundo [1.1K]

The answer is -16 - 10i.

Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)

Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²

Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i

7 0

1 year ago

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Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm.

natali 33 [55]

Answer:

Circumference: 64π

Ratio: 1 : 4

Measure of ∠xoy: π/2

Step-by-step explanation:

We are given an arc length of 16π. Since it's in terms of pi, we use the formula

S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)

We are given S = 16π and r = 32, plug those in and find Ф

16π = 32Ф

16π/32 = Ф

π/2 = Ф

This is the measure of the central angle.

The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4

The formula for circumference is C = 2πr, where r is the radius, so we hace

C = 2π(32) = 64π

8 0

1 year ago

Read 2 more answers