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3 years ago

Evaluate the expression when x=-1 and y= -8 z=1/4xyz

Mathematics

1 answer:

mr_godi [17]3 years ago

5 0

Substitute the values of x, y and z to the expression:

$x=-1,\ y=-8,\ z=\dfrac{1}{4}\\\\xyz=(-1)(-8)\left(\dfrac{1}{4}\right)=(8)\left(\dfrac{1}{4}\right)=\dfrac{8}{4}=2$

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How many years will it take for the area of the glacier to decrease to 15 square kilometers

jekas [21]

Answer:

aprox: 9 years?

Step-by-step explanation:

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2 years ago

Write the slope-intercept form of the equation of the line described below.

prisoha [69]

The equation of the line is $y=-\frac{2}{5}x-5$

Explanation:

Given that the line passes through the points (-5,-3)

The slope of the line is $m=-\frac{2}{5}$

We need to determine the equation of the line.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

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

Let us substitute the points (-5,-3) and the slope $m=-\frac{2}{5}$ in the above formula.

Thus, we have;

$y+3=-\frac{2}{5}(x+5)$

Simplifying, we get;

$y+3=-\frac{2}{5}x-2$

Subtracting 3 from both sides of the equation, we get;

$y=-\frac{2}{5}x-5$

Hence, the equation of the line in slope - intercept form is $y=-\frac{2}{5}x-5$

4 0

3 years ago

Which series are neither arithmetic nor geometric?<br> Choose all that apply.

AfilCa [17]

The middle two. An arithmetic series is when something is added over and over again. Geometric is the same except multiplication. For the first one, it only adds 3. For thr last one, it multiplies by -3. For the middle two, I can't seem to find a pattern.

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2 years ago

Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar.

sergey [27]

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as $J$

The number of orders served by Kareem can be designated as $K$

The number of orders served by Lamar can be designated as $L$

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

$J+K+L=64$

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, $J$ , being equal to Lamar's orders $L$ minus 8.

$J = L-8$

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, $K$ , being 2 times Lamar's orders $L$ .

$K = 2L$