Answer:
- (x, y) = (3, 5)
- (x, y) = (1, 2)
Step-by-step explanation:
A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.
__
The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.
There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.
_____
1. In standard form, your equations are ...
Then the solution is ...

__
2. In standard form, your equations are ...
Then the solution is ...

_____
<em>Note on Cramer's Rule</em>
The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.
The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.
Answer:
None of the above
Step-by-step explanation:
The common ratio 10 means we are starting with 4.5 and multiplying that by 10 each time:
4.5*10=45
45*10=450
450*10=4500
As you can see, this does not match any of the answers
Read more on Brainly.com - brainly.com/question/14993026#readmore
Answer:
the function y=5x+5
plug in the hours 4.5 for x
y=5(4.5)+5
=27.5kilometers
Answer:
Step-by-step explanation:
Given that
Sample size = n = 8: sample mean = 36.5 and s = sample std dev = 7.4 minutes
98% CI using t = (28.7, 44.3) with margin of error as 7.8
Now if sigma = population std dev is known we use Z critical value
Margin of error = 2.33*8.7/\sqrt 8 = 7.167
CI = (36.5 ±7.167)
This is not wider than that used using t distribution
The margin of error of u is ___7.167
98% confidence interval using the standard normal distribution is (29.333__,43.667__)
d)the confidence interval found using the standard normal distrubution is narrower than the confidence interval found using the students t-distribution