Solve the linear system using multiplication Elimination.<br><br> 4х + Зу = 8<br> X

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crimeas [40]

Answer:

y = 1/2x

Step-by-step explanation:

x - 2y = -4

x = -4 + 2y

x + 4 = 2y

2y = x + 4

y = 1/2x + 2

y = 1/2x

5 0

3 years ago

How much interest will $1,200 earn over 10 years with 5% interest compounded annually

Amiraneli [1.4K]

Answer:

$1,954

Step-by-step explanation:

4 0

2 years ago

What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the

allsm [11]

In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.

In exponential models there is a constant multiplicative rate of change.

The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.

We can test that using several pair of points.

The multiplicative rate of change is calcualted in this way:

[f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5

[5 / 2] / (1 - 0) = 2.5

[2 / 0.8] / (0 - (-1) ) = 2.5

Then, do doubt, the answer is 2.5

6 0

3 years ago

Read 2 more answers

A. Write an expression for the area of the shaded region.

tekilochka [14]

Answer:

A. $25x² - 64$

B. $(5x + 8)(5x - 8)$

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = $25x^2 - 64$

B. The expression, $25x^2 - 64$ , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, $a^2 - b^2 = (a + b)(a - b)$

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

$25x^2 - 64 = (5x + 8)(5x - 8)$

4 0

3 years ago

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending m

Anuta_ua [19.1K]

Answer:

A) 1.96%

Step-by-step explanation:

You need to know the band between 5.48 g and 5.82 g, the mean is 5.67 g and the standard deviation is .0.070 g, with that information you can calculate the percentage to the left of the mean and the percentage to the right of the mean and add them.

To know its percentage you have to calculate the z score for both values.

$z = \frac{x-\mu}{\sigma}$

x is the value being evaluated

μ is the mean

σ is the standard deviation

For 5.48 g:

$z = \frac{5.48-5.67}{0.070} =-2.714$

and is equivalent to 0.0034

For 5.82 g:

$z = \frac{5.82-5.67}{0.070} = 2.143$

and is equivalent to 0.9838

Those numbers mean that the percentage below 5.48 is equivalent to the 0.34% of the values and the percentage below 5.82 is equivalent to 98.38% of the values. Then the percentage rejected is the percentage above 5.82, 100 - 98.38 = 1.62% plus the percentage below 5.48, 0.34%.

Percentage rejected = 1.62% + 0.34% = 1.96%

7 0

3 years ago

Solve the linear system using multiplication Elimination. 4х + Зу = 8 X - 2y = 13