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3 years ago

Which is the graph of the step function f(x)?

Mathematics

2 answers:

quester [9]3 years ago

5 0

You should do 9/4 divided by 3/8

aalyn [17]3 years ago

4 0

Answer:

Its B

Step-by-step explanation:

Did the test on edge

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I need the answer and work

ad-work [718]

A) 2x +3

Plug in the x

2(4.1) + 3

8.2+ 3= 11.2

A is 11.2

B) 16-5y

Plug in the y

16 - 5(2.3)

16- 11.5= 4.5

B is 4.5

C) x+y

Plug in x and y

4.1 + 2.3= 6.4

C is 6.4

7 0

3 years ago

8(2x – 14) + 13 = 4x – 27

Juliette [100K]

8 (2x - 14) + 13 = 4x -27

distribute 8 through the parentheses

16x - 112 + 13 = 4x - 27

combine like terms

16x - 99 = 4x -27

subtract 4x from each side

12x - 99 = -27

add 99 to each side

12x = 72

divide each side by 12

x = 6

3 0

3 years ago

Can someone help me please!!

Kisachek [45]

9514 1404 393

Answer:

AE = CE = 23; BE = DE = 20

Step-by-step explanation:

Put the values of the variables in their place and do the arithmetic.

AE = 2u+5 = 2(9) +5 = 23

BE = 6v-1 = 6(3.5) -1 = 20

CE = 3u-4 = 3(9) -4 = 23

DE = 8v-8 = 8(3.5) -8 = 20

The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.

6 0

3 years ago

Find the volume of the solid.

dmitriy555 [2]

In Cartesian coordinates, the region (call it $R$ ) is the set

$R = \left\{(x,y,z) ~:~ x\ge0 \text{ and } y\ge0 \text{ and } 2 \le z \le 4-x^2-y^2\right\}$

In the plane $z=2$ , we have

$2 = 4 - x^2 - y^2 \implies x^2 + y^2 = 2 = \left(\sqrt2\right)^2$

which is a circle with radius $\sqrt2$ . Then we can better describe the solid by

$R = \left\{(x,y,z) ~:~ 0 \le x \le \sqrt2 \text{ and } 0 \le y \le \sqrt{2 - x^2} \text{ and } 2 \le z \le 4 - x^2 - y^2 \right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\sqrt2} \int_0^{\sqrt{2-x^2}} \int_2^{4-x^2-y^2} dz \, dy \, dx$

While doable, it's easier to compute the volume in cylindrical coordinates.

$\begin{cases} x = r \cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \end{cases} \implies \begin{cases}x^2 + y^2 = r^2 \\ dV = r\,dr\,d\theta\,d\zeta\end{cases}$

Then we can describe $R$ in cylindrical coordinates by

$R = \left\{(r,\theta,\zeta) ~:~ 0 \le r \le \sqrt2 \text{ and } 0 \le \theta \le\dfrac\pi2 \text{ and } 2 \le \zeta \le 4 - r^2\right\}$

so that the volume is

$\displaystyle \iiint_R dV = \int_0^{\pi/2} \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta \, dr \, d\theta \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} \int_2^{4-r^2} r \, d\zeta\,dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} r((4 - r^2) - 2) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \int_0^{\sqrt2} (2r-r^3) \, dr \\\\ ~~~~~~~~ = \frac\pi2 \left(\left(\sqrt2\right)^2 - \frac{\left(\sqrt2\right)^4}4\right) = \boxed{\frac\pi2}$

3 0

2 years ago

Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.He knows that the state tax is 5.5.

Natalka [10]

Aiden will receive $1.43 from a $5 bill.

If the state tax is 5.5%, you can use the equation below to solve for the total cost, t.

t = 1.055 (2 × 1.09 + 1.20)
t = 1.055 (2.18 + 1.20)
t = 1.055 (3.38)
t = 3.5659

You can round 3.5659 to $3.57. Finally, you subtract 3.57 from 5 to find the amount of change Aiden will receive, c.

c = 5 - 3.57
c = 1.43

7 0

3 years ago