Which statements accurately describe the function f(x) = 3(18)*? Select three options.
O The domain is all real numbers.
The range is y> 3.
The initial value is 3.
The initial value is 9.
The simplified base is 372.

Answer:

Choice C.

Step-by-step explanation:

Choice C has the most numbers close together, and not far away like an outlier.

Please mark me BRAINLIEST! Thanks!

Answer:

D.6, 7, 5, 8, 9, 1

Step-by-step explanation:

A.25, 33, 29, 31, 33, 33, 78, 28   78 is an outlier

B.101, 99, 98, 111, 11, 101, 103           11 is an outlier

C.45, 45, 45, 45, 35, 45    35 is an outlier

D.6, 7, 5, 8, 9, 1   no outliers  the numbers are within 1.5 of the IQR

Answer:

D) [tex]Y = 1.03(2.93^x)[/tex]

Step-by-step explanation:

To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.

x: 1 2 3 4 5 6

y: 3 8 27 85 240 570

A. Y = 2.93([tex]1.03^x[/tex])

Substituting x = 1 to get

Y = 2.93(1.03) ≅ 3

Substituting x = 2 to get

Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1

Option A is wrong

B. Y = 38.73x² – 168.58x + 158.1

Substituting x = 1 to get:

Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25

Therefore option B is wrong

C. Y = [tex]102.54^x - 203.4[/tex]

Substituting x = 1 to get:

Y = 102.54 – 203.4 = -100.86

D) [tex]Y = 1.03(2.93^x)[/tex]

Substituting x = 1 to get:

[tex]Y = 1.03(2.93^1)=3[/tex]

Substituting x = 2 to get:

[tex]Y = 1.03(2.93^2)=8.84[/tex]

Substituting x = 3 to get:

[tex]Y = 1.03(2.93^3)=25.9[/tex]

Option D is the closest, it is the correct option

Answer: 1. infinitely many solutions

2. no solution

3. one solution

4. no solution

5. infinitely many solutions

Step-by-step explanation:

1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows

2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.

3. one solution - which is when one variable equals one number

4. no solution

5. infinitely many solutions

Answer:

irrational

Step-by-step explanation:

Answer:

It is an irrational number.

Step-by-step explanation:

Whole numbers are numbers that include all natural numbers, (1 - infinity), and 0. Integers are numbers that can be written without fractional components. Rational numbers are numbers that can be written in the form P/Q, where p and q are integers. There only leaves irrational numbers.

Answer: 36 Students picked football

Step-by-step explanation: When calculating values by the use of given ratios, it is important to note that the ratio of one value as compared to the other is the same as the actual value compared to the other.

The ratio of students who picked rugby and tennis is given as ratio 9 : 19, which means for every 28 students (that was derived by 9 + 19), 9 would choose rugby and 19 would choose tennis. However, we have been given the total number of students who chose tennis as 57, hence the value 57 would now replace the ratio of 19. However the total number of those who chose rugby is not yet known, so we can write out an equation as shown below;

19/28 = t/x

Where t is the number of tennis players as represented by ratio 19 and x is the total number of both tennis and rugby players as represented by 28.

By cross multiplication we now have

19 * x = 28 * 57

x = (28 * 57)/19

x = 1596/19

x = 84

If a total of 84 students play both rugby and tennis, and 57 of them play only tennis, then the number of rugby players is derived as

r = x - t

r = 84 - 57

r = 27

Having determined that 27 students played rugby, and the ratio of football to rugby players is given as 4 : 3, the relationship can be mathematically represented as follows;

3/7 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

3/7 = 27/y

By cross multiplication you now have

3 * y = 7 * 27

y = (7 * 27)/3

y = 189/3

y = 63

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 63 - 27

f = 36

Therefore the number of students who chose football is 36

Answer:

=x -3

Step-by-step explanation:

f(x) = 3x-2

g(x) =2x+1

(f-g)(x) = 3x-2 -(2x+1)

Distribute the minus sign

           = 3x-2 -2x-1

Combine like terms

           =3x-2x-2-1

           =x -3

Answer:

4

Step-by-step explanation:

(9 - 1) / (3 - 1) = 8/2 = 4

Answer:

4

Step-by-step explanation:

To find the slope using two points

m= (y2-y1)/(x2-x1)

   = (9-1)/(3-1)

   = 8/2

   = 4

Answer:

Option C.

Step-by-step explanation:

Kurt started for the school at 07:35 and ends at 08:25.

Time taken by Kurt to reach the school

= 08:25 - 07:35

= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]

= 85 minutes - 35 minutes

= 50 minutes

Time taken by Drew to reach the school

= 08:30 - 07:55

= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]

= 90 minutes - 55 minutes

= 35 minutes

Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.

Therefore, Drew is 15 minutes faster than Kurt.

Option C. is the answer.

Answer:

y = -8x - 5 ; function form is y = mx+b

Step-by-step explanation:

15 + 3y = -24x

3y + -24x - 15

y = -8x - 5

Answer:

6 < x < 26

Step-by-step explanation:

let x be the third side, then

difference of 2 sides < x < sum of 2 sides , that is

16 - 10 < x < 16 + 10

6 < x < 26

Answer:

the answer is 10

Step-by-step explanation:

the other shape is half of all the degreed of the first one

Answer: 10

Step-by-step explanation:

AB:  3.0/2 = 1.5 = EF

BC:  5.0/2 = 2.5 = FG

CD:  4.0/2 = 2.0 = GH

DA:  8.0/2 = 4.0 = EH

1.5+2.5+2.0+4.0 = 10

Answer:

The answer would be 10.

Step-by-step explanation:

10 is the number that has the most number of dots above it.

Answer:

Yes.

Step-by-step explanation:

Yes . This would be an isosceles triangle (2 angles being 9 units long.

Answer:

8 nickels and 18 dimes

Step-by-step explanation:

Make a system of equations:

n + d = 26

5n +10d = 220

Solve by elimination by multiplying the top equation by -5. This gives you:

-5n -5d = -130

5n +10d = 220

Then solve to get 5d= 90, then d= 18.

Then plug 18 for d in the equation n + d= 26, so n + 18= 26

n= 8

Answer:4.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

isolate x, and multiply the 29 by -1

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 2,

[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]

Option 3,

[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 4,

[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]

Option 5,

[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]

Answer:

9.8 carats.

Step-by-step explanation:

5.1 + 0.7 + 1.4 + 2.6

= 9.8

Answer:

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

Answer:

work is pictured and shown

An expression to represent the given verbal expression is,

⇒ 100x + 8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The verbal expression is,

''Eight more than the product of a number and 100.''

Let an number = x

So, We can formulate;

⇒ Eight more than the product of a number and 100.

⇒ 8 + x × 100

⇒ 8 + 100x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

-1

Step-by-step explanation:

4u-5v=23

-2(2u+4v=16) We multiply by -2 here to destroy u's.

4u-5v=23

-4u-8v=16 we addition both processes

-13v=39 so, v=-3

4u-5(-3)=23, 4u=8 so, u=2

u+v= -3+2= -1

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

Answer:

9.46 ft

Step-by-step explanation:

Law of sines

10/sin(90)=x/sin(71)

x=(sin(71)*10)/sin(90)

x=9.46

Answer:

Option D.

Step-by-step explanation:

Statement given,

f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]

Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2

Parent function, g(x) = |x|

Absolute value function g(x) when shifted 3 units right,

g'(x) = |x - 3|

Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be

f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]

Characteristics of the graph of this function:

1). Vertex at (3, -2).

2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].

3). Graph opens upwards.

4). Range of the graph f(x) is f(x) ≥ -2.

Therefore, Option D will be the answer.

The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).

The largest x value allowed is x = 11 because of the right-most point (11,100).

The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.

Answer:

32 degrees

Step-by-step explanation:

If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value

Answer:

work is shown and pictured

=========================================================

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

-32m-4mn+15n

Step-by-step explanation:

BODMAS means Bracket of Division Multiplication Addition Subtraction.

So any time you have lot of signs use BODMAS.

Thank you do you understand