Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x

Answer:

The answer to the union of the two sets is: [tex]x\leq -3[/tex]

Step-by-step explanation:

Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.

First inequality:

[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]

so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)

Second inequality:

[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]

So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.

Then, when we do the union of these two sets, we get:

[tex]x\leq -3[/tex]

since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.

Answer:

Multiply value in mm by 1000

Step-by-step explanation:

For example, 3m = (3 * 1000)mm

                            = 3000mm

Answer:

multiply by 1000

Step-by-step explanation:

1m = 1000mm

If i need convert meter en mikimeters

i multiply meter by 1000, example:

7 meters:

7 * 1000 = 7000 milimeters

another example:

4.75m = 4.75*1000 = 4750  milimeters

Answer:

[tex]area = \frac{8}{3}pie ft^2[/tex]

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]

[tex] area = \frac{1}{6}*pie*16[/tex]

[tex] area = \frac{1*16}{6}*pie[/tex]

[tex] area = \frac{16}{6}*pie[/tex]

[tex]area = \frac{8}{3}pie ft^2[/tex]

Area of the sector = 8/3π ft²

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The correct option is:

y - x = -4

Step-by-step explanation:

The graphed equation is:

y = x - 4

The equation which will have infinite number of solution should overlap the graphed equation at infinity points.

It is only possible when both the equations are exactly same.

Consider the line given:

y - x = -4

Rearrange the equation:

y = x - 4

Thus, it is the same as the first equation.

Verify for point (0,-4)

y - x = -4

-4 - 0 = -4

-4 = -4

Proved.

Verify for point (4,0)

y - x = -4

0 - 4 = -4

0 = -4+4

0 = 0

Proved

The correct option is (1). [tex]y-x= -4[/tex]

Given equation,

[tex]y = x - 4[/tex]

the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).

Comparing with the general equation of a straight line,

[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.

We know that,

Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.

Now we check for the slope and the intercept of the given options.

Option (1)  [tex]y - x = -4[/tex]

 [tex]y = x - 4[/tex]

Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.

Now option (2).

[tex]y - x = -2[/tex]

[tex]y=x-2[/tex]

The slope is 1 and y intercept is -2  

The slope is the same as the given equation but the intercept is different giving no solution.

Hence the correct option is (1). [tex]y-x= -4[/tex]

For more details follow the link:

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Answer:

x² (x^n + 1)

Step-by-step explanation:

factor x^(n+2) + x²

= x^(n+2) + x²

= x^n • x² + x² (using law of indices)

= x²(x^n + 1)

Answer:

Length of transverse axis  = 2 b  = 10

Length of conjugate axis   = 2 a  = 4      

Step-by-step explanation:

Explanation:-

Given Hyperbola

                       [tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]

  Standard form of Hyperbola    

                  [tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]

   Center (h , k ) = (3 , -2 )  , a = 2 and b = 5

Length of transverse axis  = 2 b = 2(5) = 10

Length of conjugate axis   = 2 a = 2 (2) = 4      

Answer:

54

Step-by-step explanation:

Answer: Tossing two coins at once

Step-by-step explanation:

As during flipping two coins we have possibilities one is HH,HT,TH,TT

Answer:

Tossing two coins at once

Step-by-step explanation:

Answer:

Andy

Step-by-step explanation:

Let's say that x is Andy's speed, and d is the distance he traveled.

The time it takes Andy to reach his friend is d/x.

The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.

The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).

The total time is d/x + d/(10x) = 1.1 d/x.

It takes Ashley 1.1 times longer to reach the friend.  Andy gets there first.

Answer:

$1.92

Step-by-step explanation:

The equation would be 6/3.12

that equals 1.92.

Answer:

x = 6 + 16 sqrt(3) / 3  or equivalently 6 + 16/sqrt(3)

Step-by-step explanation:

Have enough data to solve only for x in the diagram.

The lengths that make up the base are respectively from left to right

x1 = 4 cot(60) = 4 (3/sqrt(3)) = 4sqrt(3)  m

x2 = 6 m

x3 = 4 cot(30) = 4 ( sqrt(3) / 3 ) = 4/ sqrt(3) = (4/3)sqrt(3) m

Altogether

Base, x = 4sqrt(3)/3 + 6 + 2 sqrt(3)

= 6 + 16 sqrt(3) / 3  or equivalently 6 + 16/sqrt(3)

Answer:

Step-by-step explanation:

First triangle: angles are in the ratio = 30 : 60 : 90

So, the ratio of sides = a : a√3 : 2a

a√3 = 4 m

a  * 1.732 = 4

a = 4/1.732

a = 2.31

Now, in the second triangle, angles are in the ratio = 30 : 60 : 90

So, the ratio of sides = b : b√3 : 2b

b = 4 m

b√3 = 4 * 1.732 = 6.928 m

x = a + 6 + b

x = 2.31 + 6 + 6.928

x = 15.23 m

Answer:

Step-by-step explanation:

a. The cost of a ticket after n price increases of $5 each will be ...

  c(n) = 50 +5n

The number of season-ticket holders (q) after n price increases will be ...

  q(n) = 200 -10n

__

b. The revenue after n price increases will be ...

  R(n) = c(n)·q(n) = (50 +5n)(200 -10n)

  R(n) = 50(10 +n)(20 -n)

__

c. See the attachment for a graph

__

d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.

Answer:

10² + 24²

Step-by-step explanation:

The diagram illustrates Pythagoras' identity.

The square on the hypotenuse of a right triangle is equal t o the sum of the squares on the other 2 sides.

A is the square on the hypotenuse, thus

A² = 10² + 24²

Answer:

Step-by-step explanation:

Let side of the square be a

Now, let's find:

Hypotenuse ( h ) = a

Perpendicular ( p ) = 10

Base ( b ) = 24

Applying Pythagoras theorem in the right triangle formed by the square:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

plug the values

[tex] {a}^{2} = {10}^{2} + {24}^{2} [/tex]

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

=> [tex](x+y)+(2(x+y)+3)=9[/tex]

Solving the bracket

=> [tex]x+y+2x+2y+3 = 9[/tex]

=> [tex]3x+3y = 9-3[/tex]

=> [tex]3(x+y) = 6[/tex]

Dividing both sides by 3

=> [tex]x+y = 2[/tex]

A) 3 - 1 = 2     ←  (Correct Answer)

B) -3+1 = -2

C) -3-1 = -4

D) 3+1 = 4

E) 9-31 = -22

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars

Answer:

The answer is "101.37  yd"

Step-by-step explanation:

In the given question an attachment file is missing. so, we attached the file and calculates its value:

Use formula:

[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]

In the above-given equation we assume c is the third side:

[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]

c = 101.37  yd

Answer:

7/10 or 0.7

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

Answer:

1076-(22.7)7

Step-by-step explanation:

Answer:

That right, no picture, no answer

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

You can memorize the patterns of fractions of ninths.

0/9 = 0

1/9 = 0.1111111111111111111111

2/9 = 0.222222222222

3/9 = 0.3333333333333

4/9 = 0.4444444444444

5/9 = 0.5555555555556

6/9 = 0.6666666666667

7/9 = 0.777777777777778

8/9 = 0.88888888888889

9/9 = 1

Hope this helps!

Answer:

C. 8/9

Step-by-step explanation:

Well .8 repeating is not 8/10.

Though many would choose that.

If you do 8 ÷ 10 you get .8 not .8 repeating meaning 8/10 is not correct.

To get .8 repeating we would divide 8 by 9.

Because all natural numbers below 9 can be divided by 9 to create a .repeating itself.

For example 8 ÷ 9 = .8 repeating,

4÷9 = .4 repeating.

Thus,

C. is the correct answer.

Hope this helps :)

From -5 to 0 is 5 degrees and from 0 to 5 is 5 degrees.

5 + 5 = 10

It is 10 degrees warmer outside.

Answer:

-5 to 0 is 5 degrees and  0 to 5 is 5 degrees.

5 + 5 = 10

Step-by-step explanation:

have a nice day :)

Answer:

A: 4(\root(3)(7x))

Step-by-step explanation:

Just took the test answer above is wrong this one is right.

.swag.

Answer: A

Step-by-step explanation: tis A. edge 2023 :)

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]

[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105

[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016

[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062

[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432

Answer:

Step-by-step explpointsanation:

Answer:

the radius of the pool is 50.025 feet

Step-by-step explanation:

From the information given:

We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.

So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:

[tex]r^2 + 49^2 = ( r + 20 )^2[/tex]

[tex]r^2 +2401 = r^2 + 40r + 400[/tex]

[tex]2401 = 40r + 400[/tex]

[tex]2401- 400 = 40r[/tex]

2001 = 40 r

r = 2001/40

r = 50.025 feet

Answer:

I think the answer is B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The probability of getting a particular four letter sequence is  [tex]\frac{1}{7920}[/tex].

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]

Where:

n – the total number of elements in a set

k – the number of selected elements arranged in a specific order

! – factorial

Probability is the measure of the likelihood of an event to occur.

P(E) = number of favorable outcomes/ total number of outcomes

According to given question

We have

Total number of tiles = 11

And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.

⇒ n = 11 and k = 4

So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]

⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]

Since, we have to get only one particular sequence.

⇒ Total number of favorable outcomes = 1

And there are total number of four teller sequence = 7920

⇒ Total number of outcomes = 7920

Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]

Learn more about probability  and permutation here:

https://brainly.com/question/14767366

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Bro its so confusing