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2 years ago

Simplify 6xy - 20y + 7z - 8x + 25y - 11z

Mathematics

2 answers:

ololo11 [35]2 years ago

6 0

Answer:

6xy - 8x + 5y - 4z

Step-by-step explanation:

6xy - 20y + 7z - 8x + 25y - 11z

Group the ones with the variable first to make an equation:

6xy - 8x - 20y + 25y + 7z - 11z

Solve the equation

6xy - 8x +5y - 4z

snow_tiger [21]2 years ago

3 0

You combine like terms, meaning add or subtracts the numbers that have the same variables. In this case you leave 6xy alone since there’s no other number with xy. You also leave -8x alone. You combine -20y and +25y since they have the same variable, and when you do that, you get 5y. And finally, you combine +7z and -11z since they have z in common and when you do so, you get -4z. The final answer put together will be:6xy-8x+5y-4z

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A $1,000 face value bond is currently quoted at 100.8. the bond pays semiannual payments of $22.50 each and matures in six years

gtnhenbr [62]

We are given with
F = 1000
b = 22.50
P = 100.8

We use the formula to get the coupon rate
b = Fib
Substituting the given values
22.50 = 1000 ib
ib = 0.0255 or 2.25%

The coupon rate is 2.25%

5 0

2 years ago

Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).

Sergio [31]

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

$y-56=4(x+5)$

The slope-intercept form is:

$y-y_1=m(x-x_1)$

Comparing both equations we get

m = 4

$y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5$

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

#LearnwithBrainly

6 0

2 years ago

Throughout the 2016 Presidential election primaries, Millennials (those aged 20 t 36 years) consistently supported Senator Berni

Dmitrij [34]

Answer:

The 90% confidence interval for the support of Sanders by millenials is between 53% and 57%.

$0.53 \leq p \leq 0.57$

Step-by-step explanation:

In this question we have to calculate a confidence interval (90% CI) on the proportion of millenials that had a favorable opinion on Sanders.

The sample size is n=1,754.

The p-hat, taken from the poll, is

$\hat{p}=0.55$

The estimated standard deviation is equal to:

$\sigma_p=\sqrt{\frac{p(1-p)}{N}}=\sqrt{\frac{0.55*0.45}{1754}}=0.012$

For a 90% CI, the z-value is z=1.645.

Then, the confidence interval is

$\hat{p}-z*\sigma_p\leq p\leq\hat{p}-z*\sigma_p\\\\0.55-1.645*0.012\leq p\leq 0.55-1.645*0.012\\\\0.55-0.02 \leq p \leq 0.55+0.02\\\\0.53 \leq p \leq 0.57$