What is the domain of the function shown in the graph?

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

Answer:

3 - 151 x

Step-by-step explanation:

d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151

Indefinite integral:

integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant

Definite integral after subtraction of diverging parts:

integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0

Answer:

A:44.7 b:24.5 so the difference is (20.2)

Step-by-step explanation:

Answer:

x=8.17

Step-by-step explanation:

uztstskycuvkhifig

Answer:

x = 8.17

Step-by-step explanation:

We will be using pythagoras theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]

=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616

=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)

Answer:

6y + 5x = -54  

Step-by-step explanation:

y = m x + b -> slope-intercept form

ax + by = c -> standard form

[tex]y = - \frac{5}{6} x - 9[/tex]

6y = -5x - 54

6y + 5x = -54  

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

Answer:

Total interest paid= $33

Step-by-step explanation:

Giving the following information:

Number of periods= 11 months

Interest per month= $3

To calculate the total amount of interest paid, we need to use the following formula:

Total interest paid= number of periods*interest per period

Total interest paid= 11*3

Total interest paid= $33

Answer:

See below

Step-by-step explanation:

Opposite sides are parallel:

parallelogram, rectangle, rhombus and square

4 right angles:

rectangle square

Exactly 1 pair of parallel sides:

trapezoid

4 congruent sides:

square

Have a great day!

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

The diameter of the bacterium in meters using scientific notation is 7.50 × 10^-4

Diameter of the bacterium in scientific notation = 7.50 × 10²

Recall one micrometer = 10^-6

So

7.50 × 10² × 10^-6

= 7.50 × 10^(2-6)

= 7.50 × 10^-4

Learn more about scientific notation:

https://brainly.com/question/5756316

Answer: 17/19

Step-by-step explanation:

Number of red rocks = 6

Number of orange rock = 1

Number of blue rocks = 4

Number of white rock = 1

Number of yellow rocks = 7

Total number of rocks = 19

Probability of not getting a orange the first time will be (1 - 1/19) = 18/19.

Probability of not getting an orange the second time will be: (1 - 1/18) = 17/18

Probability of not getting an orange on both occasion will be:

= 18/19 × 17/18

= 17/19

Answer:

first

2nd

_______________

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.

Answer:

1/6

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

The probability of getting a blue marble is 0.15.

The probability of an event is a number that indicates how likely the event is to occur.

Given that, a  bag contains marbles of four different colors: 8 blue marbles, 24 red marbles, 16 green marbles and 4 yellow marbles,

We need to find the probability of picking a blue marble at random out of the bag,

Probability(Event) = Favorable Outcomes / Total Outcomes

Favorable Outcomes = 8

Total Outcomes = 52

Therefore,

P(blue marble) = 8/52 = 0.15

Hence, the probability of getting a blue marble is 0.15.

Learn more about probability, click;

https://brainly.com/question/30034780

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Answer:

m<1 = 140º

m<2 = 40º

Step-by-step explanation:

5x + x + 12 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 28

<1 = 28 x 5 = 140º

<2 = 28 + 12 = 40º

Hope that helps! :)

-Aphrodite

Answer:

Option B

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cos(∠A)

BC² = (26)² + (23)² - 2(26)(23)cos(47°)

BC² = 676 + 529 - 815.67

BC² = 389.33

BC = √(389.33)

BC = 19.73

Therefore, Option B will be the correct option.

Answer:

21.74

Step-by-step explanation:

Are you looking for price of swimsuit including tax?

22 x .05 = 1.10 off

22-1.10=20.90 price before sales tax

20.90 x .04 = .84 tax on sales price

20.90 + .84 = 21.74 total paid

Step-by-step explanation:

[tex]57.12 {m}^{2} [/tex]

is the area of given figure

Answer:

Step-by-step explanation:

The area of the figure is a sum of area of a rectangle 4 m × 8 m and a half of area of a circle with radius of 4 m.

A = 4×8 + 0.5×π×4² = 32 + 32π ≈ 32 + 32×3,14 = 132.48 m²

Given:

The logarithmic equation is:

[tex]\log x+\log (x-3)=1[/tex]

To find:

The value of x.

Solution:

Properties of logarithm used:

[tex]\log a+\log b=\log (ab)[/tex]

[tex]\log 10=1[/tex]

[tex]\log x[/tex] is defined for [tex]x>0[/tex].

We have,

[tex]\log x+\log (x-3)=1[/tex]

Using properties of logarithm, we get

[tex]\log [x(x-3)]=\log 10[/tex]

[tex]x^2-3x=10[/tex]

Splitting the middle term, we get

[tex]x^2-5x+2x-10=0[/tex]

[tex]x(x-5)+2(x-5)=0[/tex]

[tex](x-5)(x+2)=0[/tex]

[tex]x=5,-2[/tex]

In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:

[tex]x=5[/tex]

Therefore, the value of x is 5.

Answer:

Part A: One.

Part B: (3, 5)

Step-by-step explanation:

Part A: A solution to a pair of equations is generally where the two functions intersect. As we can see, a graph is provided, so things are facilitated. We can see that they only intersect once, which means only one answer.

Part B: The solution, which as we have learned is where the two lines intersect, is (3, 5), as that is, again, the point of intersection.

Answer:

y>6

Step-by-step explanation:

y>48/8

y>24/4

y>12/2

y>6

Answer:

6

Step-by-step explanation:

divide both side by 8 for y to stand alone then 8 will cancel 8 and 48 divided by 8 = 6

8y\8 > 48/8

y= 6

Answer:

53

Step-by-step explanation:

53.3333333333

Answer:

160 x /3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Answer:

n = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = [tex]\sqrt{108}[/tex]

[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]

Answer:

x = [tex]\frac{in (8)}{in (36)}[/tex]  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.