Which function has a range of {y|y ≤ 5}?

f(x) = (x – 4)2 + 5
f(x) = –(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = –(x – 5)2 + 4

Probability that this person uses at least 2 facilities is; 0.556

We are told that 14 people use all three facilities. This means:

36 − 14 = 22 represents the number of people that are using the gym and the pool but no the track.

35 − 14 = 21 represents the number of people that are using the pool and the track but no the gym.

32 − 14 = 18 represents the number of people that are using the gym and the track but no the pool.

Thus, total number of people that use at least 2 facilities = 14 + 22 + 21 + 18 = 75

Since total number of people at the sports center is 135, then it means that;

Probability that this person uses at least 2 facilities = 75/135 = 0.556

Read more about Venn Diagrams at; https://brainly.com/question/24713052

#SPJ1

The equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of each zero is 1

The equation of the polynomial is then calculated as

P(x) = Coefficient * (x - zero)^ multiplicity

So, we have

P(x) = -12(x - (-3))(x - (-1))(x - 2)

This gives

P(x) = -12(x + 3))(x + 1)(x - 2)

Hence, the equation of the polynomial equation is P(x) = -12(x + 3))(x + 1)(x - 2)

Read more about polynomial at

https://brainly.com/question/17517586

#SPJ1

Answer:

Step-by-step explanation:

The little square symbol made in intersection point of two rays of angle A represents a right angle.

Angle B looks greater than Angle A but less than 180° (straight line) And Angle C looks smaller than Angle A but greater than 0 in measure.

Answer:

A. Right angle - it's is a right angle bcuz it's of 90° and perpendicular.

B. Obtuse angle - it's an obtuse angle bcuz it's more than 90°

C. Acute angle - it's an acute angle bcuz it's less than 90°

The salary for the month for Juan including base salary and commission is $5805.

It should be noted that that Juan makes a base monthly salary of $3600 and he must sell $35000 worth of items per month. He also makes a 9% commission on all sales beyond the monthly quota.

Also, there is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500.

The total salary will be:

= $3600.+ (9% × $56000 - $35000) + (9% × $56000 - $52500)

= $3600 + $1890 + $315

= $5805

Therefore, the salary for the month for Juan including base salary and commission is $5805.

Learn more about salary on:

brainly.com/question/24988098

#SPJ1

Answer:

I believe  D is the answer to the question above.

Step-by-step explanation:

Answer: pretty sure its D

Step-by-step explanation:

The probability of getting a green gum ball is 0.35 (35/101)

Probability is the measure of chance that some event would happen.

Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)

Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.

Therefore, Total gum balls = 35+22+30+14 = 101

The probability of getting a green gumball = no of green gumballs/ total gumballs

Therefore, probability of getting a green gumball = 35/101 = 0.35

Also, Learn more about probability from:

https://brainly.com/question/11234923

#SPJ1

these are the only ones i can find

26 37 40 48

Answer:

Step-by-step explanation:

The graph will open upwards

Shifted to the right by 5

Vertex: (5,0)

Domain: x= All Real Numbers

Range: y[tex]\geq[/tex]0

Answer: D

Step-by-step explanation:

Answer:

y1+3=y2

10x-4=10x-4+3

One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

LEARN MORE ABOUT INTEREST SUMS HERE: https://brainly.in/question/2663098

#SPJ9

a. The probability that the next scarf will be orange will be 1/5.

b. The probability of getting the ace or spades will be 17/52.

c. The probability of getting a king, queen, or jack will be 3/14.

a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:

= 2/(3 + 5 + 2)

= 2/10

= 1/5

B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:

Total number of cards withe the ace = 52

Total number of ace = 4

Number of spade = 13

The probability will be:

= 4/52 + 13/52

= 17/52

C. The probability of getting a king, queen, or

jack will be:.

= 4/52 + 4/52 + 4/52

= 12/52

= 3/14

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

According to the solving the percent Larsons pay to the high school district 63.8%.

A % is a relative figure that represents one-tenth of a quantity. One percent (symbolized 1%) is the hundredth part; consequently, 100 percent denotes the complete amount and 200 percent specifies twice the supplied number.

In scientific and engineering writing, use the symbol% to denote percent, except when expressing numerals at the beginning of a phrase. When writing the word, use the form percent as opposed to the archaic version percent. During the test period, just 3% of the systems crashed.

Bill included $401 for local schools

$145 went to the high school district

Amount Remaining = $ 401 - $145

= $ 256

Percent Larson's pay to the high school district is:

256/401

.638 x 100

= 63.8%

According to the solving the Larsons pay to the high school district 63.8%.

To know more about percent visit:

https://brainly.com/question/14699403

#SPJ9

The value of r so that the line passes through (r, 7), (3, 4) and slope of - 3 / 5 is - 2.

The slope of the line is given as m = - 3 / 5.

The pair of point are (r, 7)(3, 4).

Using slope intercept form equation is as follows:

y = mx + b

where

Therefore, using (3, 4) we will find the y-intercept

y = - 3 / 5 x + b

4 = -3  / 5 (3) + b

4 = - 9 / 5 + b

b = 4 + 9 / 5

b = 20 + 9/ 5

b = 29 / 5

Therefore, the equation of the line is as follows;

y = - 3 / 5x + 29 / 5

Hence, let's find r (r, 7)

7 = -3 / 5(r) + 29 / 5

7 - 29 / 5 = -3 / 5 r

35 - 29/ 5 =  -3 / 5 r

6 / 5 = - 3 / 5 r

cross multiply

-15r = 30

divide both sides by -15

r = 30 / -15

r = -2

Therefore, the value of r is -2.

learn more on slope here:https://brainly.com/question/13683246

#SPJ1

When Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.

It should be noted that the information is to simply find the numbers. This van only be done through manipulation.

The number is 61. It should be noted that:

61 / 3 = 20 remainder 1

61 / 4 = 15 remainder 1

61 / 5 = 12 remainder 1.

61 / 6 = 20 remainder 1.

Therefore, when Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.

Learn more about numbers on:

brainly.com/question/2464930

#SPJ1

Charlie 50 miles per hour

Violet 60 miles per hour

It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles

Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour

Since, distance = speed × time

Distance covered by Charlie = 5.5x

Distance covered by Violet = 2(x + 10)

Altogether they covered 395 miles,

So,

395 = Distance covered by Charlie + Distance covered by Violet

395 = 5.5x + 2(x + 10)

395 = 5.5x + 2x + 20

375 = 7.5x

x = 375/7.5

x = 50 mph

Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =

Speed of Charlie +10

50+10 =60

speed of Violet =60mph

For more knowledge about Speed

visit - https://brainly.com/question/13943409

#SPJ9

Answer:In the number, 687,760, there are two 7s; one is at a place value of hundred and the other is at thousand.

Hence, the higher place value 7 is 10 times greater than lower place value 7. Every consecutive place value is 10 times greater than the right one.

Step-by-step explanation:

Answer:

32°

Step-by-step explanation:

Angles 2 and 4 are vertical angles, so they are congruent. That means that their measures are equal.

First, we set their measures equal to each other.

Then we solve the equation for x.

Then, we use the value of x to find the angle measure.

m<2 = 6x + 5

m<4 = 4x + 14

Set the measures equal.

6x + 5 = 4x + 14

Subtract 4x from both sides.

2x + 5 = 14

Subtract 5 from both sides.

2x = 9

Divide both sides by 2.

x = 4.5

m<2 = 6x + 5

m<2 = 6 × 4.5 + 5

m<2 = 27 + 5

m<2 = 32

Answer: 32°

The values of y for all the prime numbers less than 15 are -14, -18, -22,  -30, -28, -54,  -62

Prime numbers are defined as numbers that have only two factors:

From the information given, we need to find the value of x as prime numbers less than 15

The prime numbers that are less than 15 are:

1, 2,  3, 5 , 7, 11, 13

Now, let's substitute each as the value of x as follows

Substitute x as 1

y = - 4(1) - 10

y = -4 - 10 = -14

Substitute x as 2

y = -4(2) -10

y = -8 - 10 = -18

Substitute x as 3

y = -4(3) - 10

y = -12 -1 0 = -22

Substitute x as 5

y = -4(5) - 10

y = -20 - 10 = -30

Substitute x as 7

y=-4(7) -10

y = -28 - 10 = -38

Substitute x as 11

y = -4(11) - 10

y = -44 - 10 = -54

Substitute x as 13

y = -4( 13) - 10

y = -52 - 10 = -62

Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22,  -30, -28, -54,  -62

Learn more about prime numbers here:

https://brainly.com/question/145452

#SPJ1

The number of people aged 31-50 years old are cell phone users in the tri-County area are 26,767,650.

A pie chart, also known as a circle chart, is a method of summarizing a set of numeric variables or displaying the variables of a given factor (e.g. percentage distribution).

For the given question;

The total population = 72,345,000.

The total percentage between 31-50 years old = 23% + 14% (see from graph).

Let x be the total number of people between aged between 31 -50 years who are cell phone users.

(23% + 14%) of  72,345,000 = x

x = 37× 72,345,000 / 100

x = 26,767,650.

Therefore, the number of cell phone users aged between 31 to 50 are 26,767,650.

To know more about the pie chart, here

https://brainly.com/question/23969670

#SPJ9

The quotient compares to the value of the original two integers as it's a positive number.

The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

From the information, the quotient of two negative integers results in an integer.

Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.

Therefore, the quotient compares to the value of the original two integers as it's a positive number.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

Answer:

Step-by-step explanation:

a(i)  q = 2p + (1/2)

(ii)  v = (1/10)u

(iii)  t = 15d

(iv)  m = 0.75d - 2

2p is added by the same constant so it's not proportional

The value of the t in the linear equation is 10 approximately.

According to the statement

We have to find that the value of the t.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equations are:

h(t) = 0.5t + 8.

h(t) = −4.9(t − 5) + 38.

Then

= 0.5t + 8

= −4.9(t − 5) + 38.

And

= 0.5t + 8

= −4.9t + 24.5 + 38.

And

= 0.5t + 8

= −4.9t + 62.5

Now,

Subtact the equations then

= 0.5t + 8 - (−4.9t + 62.5)

= 0.5t + 8 + 4.9t - 62.5

= 0.5t + 4.9t - 62.5+8

=  5.4t -54.5

Then

5.4t = 54.5

t = 54.5/5.4

t = 10.092.

So, The value of the t in the linear equation is 10 approximately.

Learn more about linear equation here

https://brainly.com/question/4074386

#SPJ9

The depreciation for the first year of the truck's useful life is $32,000.

The cost of the truck is $40000.

The useful time is 5 years.

The residual value is $5000.

Now, the depreciation is given as:

SLM depreciation = (Cost - Residual Value) / 5 years

Depreciation expense per year = ($40,000 - $5,000) / 5

Depreciation expense for the first year = $7,000

Now,

The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.

Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.

Depreciation expense = Depreciation expense per mile × Miles driven

Therefore,

Depreciation expense per mile will be:

= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2

The first year depreciation will be:

= 16,000 miles × $2 per mile = $32,000

Learn more about depreciation here:

https://brainly.com/question/1203926

#SPJ9

The solution of the given equations that is x = 7 and x + y = 18 is :

x = 7

y = 11

What is a parallelogram ?

A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

The figure shown is an parallelogram, where length of opposite sides are equal to each other

From the figure,

x = 7, as opposite side of x is given as 7

x + y = 18,

Putting the value of x in the above equation,

7 + y = 18

y = 18 - 7

y = 11

Therefore, we get after solving the given equations :

x = 7

y = 11

Read more about parallelogram at :

https://brainly.com/question/19187448

#SPJ1

Answer:

what's your question?

Step-by-step explanation:

The value of constant of proportionality that relates gallons to quarts is 0.25 .

As we all know that one gallon have four quartz.

The proportional relation is written as y = kx.

We know that y varies proportionately with x.

Substitute within the such that x = four and y = one values ​​and solve for k.

1 = k(4)

k =1 /4 = 0.25

Therefore the constant of proportionality is 0.25

Learn additional regarding about constant of proportionality here :

https://brainly.com/question/1835116

#SPJ9

The x-intercepts and y-intercepts (9,0) and (0,7) respectively.

In geometry, a line draw in between the coordinate axes by using the intercepts. The intercepts are the intersecting points of the points of the line with coordinate axes. The intersecting point of the line with x - axis is called the x - intercept (a,0). Here a is the intercept length.

Similarly,  The intersecting point of the line with y - axis is called the y - intercept (0,b). Here b is the intercept length.

Now,

The x-intercept (a) = 9

So, the x - intercept point is  (9,0)

and

The y - intercept (b) = 7

So, the y - intercept point is (0,7)

Now, the graph of the line :

Learn more about Graph at:

https://brainly.com/question/16608196

#SPJ1

Answer:

When dividing fractions we "invert and multiply".

First, we should change 2 (5/16) to 37/16.

So, 37 / 16 divided by 7 / 8 equals

37 / 16 times 8 / 7

which equals 296 / 112 = 37 / 14 which equals

2 (9/14)

Step-by-step explanation: