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3 years ago

4.5x + 1.25=12.5 what is x?

Mathematics

1 answer:

Otrada [13]3 years ago

3 0

The answer is actually x=2.5

Step by step:

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

Science notation is a good way to write what kinds of numbers? Select more then one answer

Marysya12 [62]

E:very large numbers

hope this helps, pal

3 0

3 years ago

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A random sample of 25 college statistics textbook prices is obtained and the mean price is computed. To determine the probabilit

Lubov Fominskaja [6]

Answer:

We need to refer to the population distribution of all college statistics textbook prices.

Step-by-step explanation:

From the given information;

We are being given the sample size and the mean that has already been computed. Thus, to determine the probability of a more extreme mean, we need the t-test statistics value. In this case, we will need the sample mean, thus we need to refer to the population distribution of all college statistics textbook prices.

4 0

3 years ago

Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?

kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

$2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3}$

Thus, the equation of the line is y= -⅓x +⅓.

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4 years ago

Answer to this question please?

egoroff_w [7]

7 mphs faster...............

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3 years ago