The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which
equation could represent function g?
A. g(x) = 10px)
B. 8(x) = f(x + 10)
C. 8(x) = f(x) + 10
D. g(x) = f(x) - 10

Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

Part A:

[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]

Part B:

[tex]P_3=0.24321[/tex]

Part C:

[tex]Average\ Number:=1.6817[/tex]

Step-by-step explanation:

Given data:

Mean =μ= 40 calls

Service Rate=λ=18 calls

Solution:

Formula:

[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]

Where i is access lines

Part A:

Probability of 0 access line, i=0:

[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]

[tex]P_0=0.13298[/tex]

Probability of 1 access line, i=1:

[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]

Probability of 2 access line, i=2:

[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]

[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]

Probability of 3 access line, i=3:

[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]

Part 2:

Only 3 users can access simultaneously, denied Probability is P_3(4th access line)

[tex]P_3=0.24321[/tex]

Part 3:

Average Number:

[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]

Answer:

The height in feet of the basketball hoop would be 10 feet.

Step-by-step explanation:

if 1 inch = 5 feet

then 2 inches = 10 feet

Hope this helped :)

Answer:

10 feet I think

Step-by-step explanation:

If 1 Inch is = to 5 feet then 2 inches must be = to 10 inches because 2 x 5 = 10

Answer:

37.7

Step-by-step explanation:

Circumference of circle =2pir

I took pi=3.14

C=2xpix6=37.7square ft

Answer:

19

Step-by-step explanation:

9 + 10 = 19

Answer:

sides.

Step-by-step explanation:

Answer:

Slope-intercept form y = mx + b

m = slope (-3)

b = y-intercept (5)

hence, the slope-intercept form is:

y = -3x + 5

This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

Answer:

D   51.3%

Step-by-step explanation:

Number of students who bought popcorn: 80

Total number of students: 156

percent = 80/156 * 100% = 51.3%

I'm no math braniac, however, I believe the answers are 2 cups; 2/3 cups, 15/2 cups; 2 1/2 cups, and 2/12 cups; 5/6 cups.

I really hope its correct and good luck on your test!

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

Answer:

When you are graphing inequalities you know if it's an open circle or closed circle because when the dot is closed it means that the inequality includes the number and when it's open it does not include the number in the inequality.

Step-by-step explanation:

I'm sorry if this isn't the best answer I tried my best:))

Answer:

B

Step-by-step explanation:

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

The dot plot is missing, so i have attached it.

Answer:

B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Step-by-step explanation:

From the dot plot attached, we can find the average number of students per class for each school.

For Poplar Middle School;

Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.

There are 20 classes.

Thus;

average number of students per class = 435/20 = 21.75

For Oak Middle School;

Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483

Average number of students per class ; 483/20 = 24.15

Difference in average = 24.15 - 21.75 = 2.40

This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.

Answer:

da answer is B lesss goooo

Step-by-step explanation:

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)

Answer:

C

Step-by-step explanation:

Answer:

2(x^2 +4)-5

Step-by-step explanation:

6^2= 36

36+4= 40

40x2=80

80-5=75

6(6^2 + 4) -5

Answer:

68.56 m

Step-by-step explanation:

circumference of semi-circle:  15π/2 = 23.56

23.56 + 12 + 12 + 21 = 68.56

Answer:

54,000+800+70+2

Step-by-step explanation:

Answer:

Here is an answer

54,000+800+70+2

Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].  

[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units

In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value.  If you are looking for the angle of the vector, you need to use the formula,Ф =  [tex]arctan(y/x)[/tex].  But because the x, value is negative, the rule is that we add π to this value.

Plug in the values:

arctan(13/-10) + π = 127.56° or 2.226 radians

Answer:

Yes, but a diagonal of the rectangle must be a diameter of the circle.

This is because a rectangle is made up of two right triangles.

Answer:

7 :ans is 10

8: ans is 25

9: ans is 46

Answer:

B

Step-by-step explanation:

B gives you 8/12, which can be simplified down to 2/3.

Answer:Distributive

Step-by-step explanation:

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

Answer:

equilateral acute. Because it is less than 90 and all equal

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°