All categories

3 years ago

Find the sum and express it in simplest form.(6u - 7c - 6) + (-2u + 4c)

Mathematics

1 answer:

Vesnalui [34]3 years ago

5 0

Answer:

4u - 3c - 6

Step-by-step explanation:

Remove the parentheses and combine like factors.

(6u - 7c - 6) + (-2u + 4c)

6u - 7c - 6 - 2u + 4c

4u - 3c - 6

You might be interested in

Evaluate f(x) = 4x + 3x^2 − 5 when x = -2. 23 -1 -25 -49

frozen [14]

Answer:

f(-2) = -1

Step-by-step explanation:

One way of doing this is to substitute -2 for x in every place where x shows up:

f(x) = 4x + 3x^2 − 5 → f(-2) = 4(-2) + 3(-2)^2 − 5

→ f(-2) = -8 + 3(4) - 5, or f(-2) = 4 - 5, or f(-2) = -1

5 0

3 years ago

What is 1/2 divided by 4?

Natasha_Volkova [10]

1/2/4=1/2 x 1/4 = 1/8

8 0

2 years ago

Read 2 more answers

Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 =

marissa [1.9K]

In Cartesian coordinates, the region is given by $-3\le x\le3$ , $-\sqrt{9-x^2}\le y\le\sqrt{9-x^2}$ , and $-\sqrt{16-x^2-y^2}\le z\le\sqrt{16-x^2-y^2}$ . Converting to cylindrical coordinates, using

$\begin{cases}\mathbf x(r,\theta,\zeta)=r\cos\theta\\\mathbf y(r,\theta,\zeta)=r\sin\theta\\\mathbf z(r,\theta,\zeta)=\zeta\end{cases}$

we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

The volume is then

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{z=-\sqrt{16-r^2}}^{z=\sqrt{16-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\dfrac{4(64-7\sqrt7)\pi}3$

6 0

2 years ago

A carnival charges two different prices for admissions. Adults cost $4 while children cost $1.50. If a total of $5050 was collec

GenaCL600 [577]

Answer:

Step-by-step explanation:

We have to have 2 different equations to solve this. One equation will represent the number of tickets sold while the other represents the money collected when the tickets were sold.

We know that adult tickets + children tickets = 2200 tickets.

That's the "number of tickets" equation. Let's call adult tickets "a" and children's tickets "c". So a + c = 2200

Now if each adult costs $4, then the expression that represents that as a cost is 4a. If there is 1 adult, the cost is $4(1) = $4; if there are 2 adults, the cost is $4(2) = $8; if there are 3 adults, the cost is $4(3) = $12, etc.

The same goes for the children's tickets. If each child's ticket is $1.50, then the expression that represents the cost of a child's ticket is 1.5c (we don't need the 0 at the end; it doesn't change anything to drop it off). The total money brought in from the cost of these tickets was $5050, so

4a + 1.5c = 5050

Let's solve the first equation for a. If a + c = 2200, then a = 2200 - c. Sub that into the second equation and solve it for c:

4(2200 - c) + 1.5c = 5050 and

8800 - 4c + 1.5c = 5050 and

-2.5c = -3750 so

c = 1500

That means that there were 1500 children's tickets sold. If a + c = 2200, then a + 1500 = 2200 so

a = 2200 - 1500 so

a = 700

There were 1500 children's tickets sold and 700 adult tickets sold.

7 0

3 years ago

Which linear function is represented by the graph?

professor190 [17]

9514 1404 393

Answer:

f(x) = -1/2x +1

Step-by-step explanation:

The line crosses the y-axis at y=1, so the y-intercept is b=1.

The line drops 1 unit for a run of 2 to the right, so the slope is ...

m = rise/run = -1/2

The slope-intercept form of the equation of the line is ...

y = mx + b

y = -1/2x + 1

In functional form, the equation is ...

f(x) = -1/2x +1

8 0

3 years ago

Find the sum and express it in simplest form.(6u - 7c - 6) + (-2u + 4c) ​

Find the sum and express it in simplest form.(6u - 7c - 6) + (-2u + 4c)