Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.

Using the function graph given, it is found that:

When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.

To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009

Answer:

Step-by-step explanation:

(-7, 8) (-8, 8)

(y2 - y1) / (x2 - x1)

(8 - 8) / (-8 + 7)

0 / -1

the slope is 0

you could also see this because the y value doesn't change

if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )

m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

Step-by-step explanation:

The letters are easy enough.

y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.

x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs

12 and 42 are the parts that will cause the problem. Factor them both into prime factors

12: 2 * 2 * 3

42: 2 * 3 * 7

You need two 2s.

You need one 3

You need one 7

LCD = 2 *2*3 * 7 = 84

Work Shown:

82% of 20 = 0.82*20 = 16.4 which rounds to 16

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

Answer:

6

Step-by-step explanation:

Answer:

i think the answer is -> "the mean can be less than the minimum data value."

Step-by-step explanation:

mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.

Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.

The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.

The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.

Taking everything together, it follows that the n-th term in the sequence is

[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

Answer:

An isosceles triangle has two side lengths the same and one different.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 6 2/3

4/3 * 5

20/3

6 2/3

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

Answer:

  y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

  6, 30

  -2, -10

  0, 0

  10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

  y = 5x +2

cp of 40 l of milk=6.50*40=260

sp of 56 l of mixture=56*7=392

392-260=132

gain%=132/260*100=50.76%

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

Given

Formula

Solving.

Change 0.04 to percent

Answer:

If any doubt leave a comment

Answer:

The answer is 55 6/9, but when simplified, it is 55 1/3

Answer:

£650=$1053

£405=$656.1

from the scale we multiply the values of euro by 1.62

Answer:

1.) 401 dollars

2.)656 euros

Answer:

c

Step-by-step explanation:

First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.

To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.

Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)