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3 years ago

Simplify. 8y-7x+2y² -x-5

Mathematics

1 answer:

Dominik [7]3 years ago

5 0

Answer:

Step-by-step explanation:

we can do like

8y-7x+2y² -x-5

= 2y^2 + 8y - 8x - 5 ( we know that - 5 = 8 - 13)

= 2( y^2 + 4y + 4) - 8x - 13

= 2 (y+2)^2 -8x - 13

I do not know that you wrongly type but here is the answer.

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What is ten time ten

lisov135 [29]

Ten times ten is 100

8 0

3 years ago

Read 2 more answers

Find a vector function that represents the curve of intersection of the paraboloid z=3x2+2y2 and the cylinder y=6x2. Use the var

Cerrena [4.2K]

Answer:

$\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)$

Step-by-step explanation:

First plug the equation of y into the equation of z, so that we get their intersection:

We plug

$y=6x^2$

Into: $z=3x^2+2y^2$

So, we get:

$z=3x^2+2(6x^2)^2\\z=3x^2+2(36x^4)\\z=3x^2+72x^4$

Then we set

$x=t$

And plug that in the equation $y=6x^2$ and the one we just got for z.

So that we get:

$y=6t^2, z=3t^2+72t^4$

Therefore, the vector function that represents the curve of intersection is:

$\vec{r(t)}=t\hat{i}+6t^2\hat{j}+(3t^2+72t^4)\hat{k} \text{ For }t \in (-\infty, \infty)$

3 0

3 years ago

Herb has sold 93, 30, 138 and 61 copiers in the last

luda_lava [24]

Answer:

Step-by-step explanation:

Mean is the number of copiers combined / number of months

79 * 5 = 395

93 + 30 + 138 + 61 = 322

395 - 322 = 73

3 0

4 years ago

Joan wrote a linear function.

12345 [234]

Answer:

A: true

B: true

C: false

D: true

E: true

Step-by-step explanation:

A: always true, m is the slope, and b is the y-intercept (starting value)

B: always true, m is always constant within the equation

C: false, initial value can be 0, e.g. in the equation y=5x, the initial value is 0

D: always true, being a line is part of the definition of linear

E: true, if the equation is in the form x = [a number], it is a vertical line where the x value is always the given number

If you need help understanding anything, feel free to ask in the comments!

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2 years ago

Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou

Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

$x=z+136$

We also know that Y weighs 117 pounds more than car Z, this can be express as:

$y=z+117$

Finally, we know that the total weight of all the cars is 9439, then we have:

$x+y+z=9439$

Hence, we have the system of the equations:

$\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}$

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

$\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}$

Now that we have the value of z we plug it in the first two equations to find x and y:

$\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}$

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0

1 year ago