Use the graph that shows the solution to f(x)=g(x).

f(x)=−(x+2)(x−2)

g(x)=2|x+2|



What is the solution to f(x)=g(x)?

Select each correct answer.




−2

0

2

4

Answer:

2, 0.2, 0.02

The first number is 2000.  The term to term rule is 'divide by 10'.

Step-by-step explanation:

To calculate the next term, divide the previous term by 10:

2000 ÷ 10 = 200

200 ÷ 10 = 20

Therefore, the next three terms will be:

20 ÷ 10 = 2

2 ÷ 10 = 0.2

2 ÷ 10 = 0.02

Term to term rule

To work out the term to term rule, give the initial number of the sequence and then describe the pattern:

The first number is 2000.  The term to term rule is 'divide by 10'.

Answer:

78.1428571429

Step-by-step explanation:

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1.  √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2.  13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3.  √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4.  √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5.  1/3 + √216

→ 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6.  1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

Answer:

A, B, C, F

Step-by-step explanation:

edge

The experiment of rolling the dice and selecting a card is an illustration of probabilities

The probability of selecting a red card and rolling a number less than 3 is 1/6

From the figure, we have:

Total outcomes = 12

Red card with a number less than 3 = 2

So, the probability of selecting a red card and rolling a number less than 3 is:

p = 2/12

Simplify

p = 1/6

Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6

Read more about probability at:

https://brainly.com/question/25870256

Answer:

C is the answer

Good luck! :)

Answer:

4kg

Step-by-step explanation:

Computer World ships

10 computer monitors at one time. The total mass of the shipment is

40 kilograms.

All of the monitors in the box have the same mass.

What is the mass of one of the computer monitors?

10÷40=4kg

Answer:

4km

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

a dupli-CATE

Step-by-step explanation:

HAHAHAHA OMG THIS IS ACTUALLY FUNNY

Answer:

Step-by-step explanation:

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

  5×5 = 25

__

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

__

For an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

__

Another example

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

Answer:

jade can by 5 pizzas

Answer:

25.12

Step-by-step explanation:

C = π2r
C = 3.14*2*4
C = 25.12
Hope this helps :)

Answer:

681 m^3

Step-by-step explanation:

Winder only found part of the volume. He also needs to find the volume of the hemisphere.

I would first find the volume of the cylinder like Winder, then proceed to calculate the volume of the hemisphere, which is V = 4/3π(4^3)=27.16 m^3. The total volume inside the storage tank is 681 m^3 when rounded to the nearest cubic meter.

Step-by-step explanation:

8x – 2y = -30 } ×2

16x - 4y = -60

–9x + 4y = 18

___________

7x=-42

x=-6

8(-6)-2y=-30

-2y=-18

y=9

Answer:

(-6,-9)

Step-by-step explanation:

The quickest way is to solve with elimination. Multiply the top equation by 2.

2(8x – 2y = -30)

16x-4y=-60

16x-4y=-60

–9x + 4y = 18

7x=-42

x=-6

8x – 2y = -30

8(-6) – 2y = -30

-48-2y=-30

-2y=18

y=-9

Answer:

the correct answer is the second

Answer:

the answer to this question is 1.08

Answer:

5 feet

Step-by-step explanation: 60 divided by 12 inches is 5 feet

Answer: C

Step-by-step explanation:

Given:

Sample size (n) = 50

x = 12

[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]

(from standard normal table)

90% Confidence interval is,

[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

the total number of possible combinations of rolling two dice is 36 because a side has 6 sides and [tex]6^{2}=36[/tex]

and possible combinations that sum to 8 are

which are 5 possible combinations which gives [tex]\frac{5}{36}[/tex]

Answer:

1996

Step-by-step explanation:

because the line chart started st 1996

Answer:

x = 17.82

Step-by-step explanation:

6x + 8% = 107    

      -8%    -8%

or

107 - 0.08 = 106.92

-----------------------------------

6x = 106.92

÷6      ÷6

x = 17.82

------------------------------------

I hope this helps!

Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

If they are inverse proportional, the relationship is:

[tex]y = \frac{k}{x}[/tex]

In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:

[tex]t = \frac{k}{r^2}[/tex]

A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.

The radius for 14 seconds is:

[tex]t = \frac{k}{r^2}[/tex]

[tex]14 = \frac{22}{r^2}[/tex]

[tex]r^2 = \frac{22}{14}[/tex]

[tex]r = \sqrt{\frac{22}{14}}[/tex]

[tex]r = 1.25[/tex]

The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.

More can be learned about proportional relationships at https://brainly.com/question/25890103

Answer:

68.

Step-by-step explanation:

90-degree angles.

90 - 22 = 68.

The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;

The volume of the vessel, v = π•r^2•h/3

[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]

h = 5•r

Therefore;

v = π•r^2•(h)/3 = π•(h/5)^2•h/3

v = π•h^3/75

By chain rule of differentiation, we have;

[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]

Which gives;

[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]

When the height is 12 cm from the vertex, we have;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]

When the vessel is one-quarter filled, we have;

v = π•h^3/75

π•(40)^3/(75×4) = π•h^3/75

10•(40)^2 = 16,000 = h^3

h = (16,000)^(1/3) = 25 (approx)

Which gives;

[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]

When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.

Learn more about rate of change here:

https://brainly.com/question/20066447

On average, people visit Thrillville 2 more times per year than Funland.

To determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:

Therefore, on average, people visit Thrillville 2 more times per year than Funland.

Learn more about averages in https://brainly.com/question/2426692

By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.

The height equation is:

h(t) = -14*t^2 + 28*t

When t = 0, we have: h(0)  = 0

So it is in the ground, meaning that it is thrown at the time t = 0.

We need to find the other root of the quadratic equation, so we need to solve:

-14*t^2 + 28*t = 0

We can rewrite this as:

t*(-14*t + 28) = 0

The parenthesis is zero when:

-14*t + 28 = 0

t = 28/14 = 2

So at t = 2, the ball hits the ground.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

So

Now

The required probability

[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]

[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]

[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]

[tex]\\ \rm\rightarrowtail 0.213[/tex]

So probability

Option B

Answer:

b.  21.4 % (nearest tenth)

Step-by-step explanation:

P(lose) = 33% = 0.33

P(win) = 1 - 0.33 = 0.67

Using binomial distribution X ~ B(n, p)

where n is the number of trials and p is the probability of success

⇒ X ~ B(15, 0.67)

Binomial probability formula:

[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]

[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]

                       [tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]

                       [tex]\sf =0.214226434...[/tex]

Converting to percentage:

0.214266434... x 100% = 21.4 % (nearest tenth)

Answer:

Let F = customer's fare (in dollars)

Let d = distance traveled (in miles)

Given:

Creating an equation from given information:

F = 2d + 5

This is a linear equation, with slope of 2 and y-intercept of (0, 5)

**see attached graph**

Answer:

See below ↓

Step-by-step explanation:

Given :

Solving :