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3 years ago

Solve the system of equations using the substitution method. -5x − 3y = 16 y = x

Mathematics

2 answers:

Elena-2011 [213]3 years ago

6 0

Answer:

(-2, -2)

Step-by-step explanation:

Make use of the 2nd equation to eliminate x or y in the 1st equation:

-5x - 3(x) = 16

Then -8x = 16, and x = -2. Since we are told that y = x, y = -2.

The solution is (-2, -2).

max2010maxim [7]3 years ago

3 0

Answer:

-5x - 3x = 16

-8x = 16

x = -2

y = x

Step-by-step explanation:

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Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim

Molodets [167]

Answer:

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

6 0

2 years ago

A savings and loan association needs information concerning the checking account balances of its local customers. A random sampl

Marina86 [1]

Answer:

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.0123

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.0123\frac{279.29}{\sqrt{14}} = 224.85$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 664.14 - 224.85 = $439.29

The upper end of the interval is the sample mean added to M. So it is 664.14 + 224.85 = $888.99.

The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).

4 0

2 years ago

Find the slope from the graph below

larisa [96]

You go up 4 times and go to the left 2 times so the slope would be 4/-2

7 0

2 years ago

which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)?

oee [108]

Answer:

y = $\frac{1}{2}$ x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{2}$ and c = - 4 , then

y = $\frac{1}{2}$ x - 4 ← equation of line

7 0

2 years ago

Find the x- and y- intercepts of the line with the given equation -6x+8y=-36

Likurg_2 [28]

Answer:

Y int at

(

)

X int at

(

)

Step-by-step explanation:

The line is easier to visualize when the equation is in slope-intercept form:

Divide each side by 4:

−

Y-intercept (plug in 0 for x):

−

(

)

X-intercept (plug in 0 for y):

−

5 0

2 years ago

Read 2 more answers