Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1. What is the equation of function g? g(x) = f(x)

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:

x = 0

2 = a · 2⁰

a = 2

x = 0

3 = a · 2⁰

a = 3

x = 1

9 = a · 2

a = 9/2

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

To learn more on exponential functions: https://brainly.com/question/11487261

#SPJ1

Answer:

D. 240

Step-by-step explanation:

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

6×4×5×2=

24×10=

240

The number of possible outcomes will be 240. The correct option is D.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

The number of possible outcomes will be calculated as:-

N = 6×4×5×2

N = 24×10

N = 240

Therefore, there will be 240 possible outcomes. The correct answer is D.

To know more about an expression follow

https://brainly.com/question/3934279

#SPJ2

Answer:

the leading coefficent is 16 or 16n (leading term)

Step-by-step explanation:

The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Given area of cylinder = 25π cm²

          Height of cylinder = 11 cm.

Now, Area of Cylinder = 2πrh

                  25π = 2πr X 11

                   25 = 22r

                    r = 25 / 22

                  r = 1.14 cm

Then, diameter = 2r = 2 X 1.14 = 2.28 cm

Now area of wrapper = total surface area = 2πr(r + h)

                                    = 2π X 2.28 (2.28 + 11)

                                   = 4.56π X 13.28

                                   = 60.56π cm²

Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

Learn more about Cylinder from:

https://brainly.com/question/3216899

#SPJ1

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

Answer:

Step-by-step explanation:

See attached graph.

Answer:

The expression that represents the PS is 7x – 7 .

if I am right mark the answer as brainliest

Answer:

Using the concepts of coordinate system and equation of line, we find that y ≥ (1/3)x + 3 and 3x-y > 2 are represented by the graph.

Step-by-step explanation:

Equation of line passes through points (a, b) and (c, d) is given by:

y-b = [(d-b) / (c-a)] / (x-a)

Given that the first solid line (≤ or ≥) has a positive slope and goes through (0, 3) and (3, 4).

y-3 = [(4-3) / (3-0)] / (x-0)

y-3 = x / 3

y - (1/3)x = 3

Also, everything above the line is shaded, i.e. the inequality represents the first graph: y ≥ (1/3)x + 3

The second dashed line (< or >) has a positive slope and goes through (0, - 2) and (1, 1).

y+2 = [(1+2) / (1-0)](x-0)

y+2 = 3x

3x-y = 2

Everything to the right of the line is shaded.

i.e. inequality represents the second graph: 3x-y > 2

Hence, the system of linear inequalities is represented by the graph :

y ≥ (1/3)x + 3

3x-y > 2

For more explanation, refer the following link:

https://brainly.com/question/13284474

#SPJ10

Answer:

D

Step-by-step explanation:

Got it right on edge 2022

Answer:

[tex]\boxed{\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x}[/tex]

Step-by-step explanation:

In exponential form, a* b^x,

Where, "a" is value of the function when x=0 and "b" is the constant ratio of f(x) for consecutive for integer values of x.

Y-intercept : (0, 4) so, a = 4.

The graph also passes through (1,7), because 0 and 1 are consecutive integer x-values.

[tex]\bf b=\cfrac{7}{4}[/tex]

So therefore, the equation for f(x) is :-

[tex]\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x[/tex]

Answer: 1230

Step-by-step explanation:

[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]

Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

If a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.

A triangle is a polygon with three edges and three vertices. The sum of the internal angles of a triangle is equal to 180 degrees.

In this case, when a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.

The diagram is attached.

Learn more about triangles on:

https://brainly.com/question/2644832

#SPJ1

The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

No of failure,n = 7

No of trials,x≥6

A binomial probability is represented as;

[tex]\rm P(x) = nC_x p^z(1-p)^{n-r}[/tex]

Substitute the given data;

[tex]P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}[/tex]

[tex]\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%[/tex]

Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %

To learn more about probability, refer to the link: https://brainly.com/question/795909.

#SPJ1

The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)

This is the probability that an event has happened given another event. If the two events are A and B, hence;

The conditional probability of A given B is expressed as:

P(A | B) = P(AnB)/P(B)

This given the fractions representing the conditional probability

Learn more on conditional probability here: https://brainly.com/question/10739997

#SPJ1

The Common Ratio is 1.05 . Option C is the answer.

The complete question is

Which value should she use as the common ratio?

0.05

0.5

1.05

5.0

In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.

Let Yui saving at the end of first month is Rs.x .

As given in the question

each month’s total is 5% greater than the previous month’s total.

Saving after second month is = First Month Total + 5% of First Month Total

= x + (5 % of x )

= x + (5*x/100)

= x + 0.05x

= 1.05x.

Yui balance is 1.05 times of Previous Month balance

Common Ratio = {Next Month }/ {Previous Month}

Common Ratio = 1.05 x / x

Common Ratio = 1.05

Therefore Common Ratio is 1.05 . Option C is the answer.

To know more about Common Ratio

https://brainly.com/question/13637951

#SPJ1

Answer: D

Step-by-step explanation:

We know that the line [tex]y=10[/tex] is shaded below, so it represents [tex]y \leq 10[/tex].

Similarly, the line [tex]y=x+1[/tex] is shaded above, so it represents [tex]y > x+1[/tex].

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.

The ratio is the representation of the fraction where the fraction is represented by : symbol.

In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.

Here given two ratios are 7:16 and 6:8.

The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.

similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.

As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.

Then multiply 2 in both denominator and numerator of 6:8 will be

6/8= 12/16

Now comparing between 12/16 and 7/16

12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.

Then 6:8 is also greater than 7:16.

So by checking all the options

Option A  is correct:  from above i is clear that the ratio 7 to 16 should show 7 cells shaded.

Option D is correct: 6:8 is also greater than 7:16.

Learn more about ratio

here: https://brainly.com/question/2328454

#SPJ10

The probability of wearing blue shirts on both days is 3/28.

Probability is the measure of the likelihood of an occurrence.

Given:

8 shirts are available out of which 3 are blue, 1 is green and 2 are white.

P(blue on Monday) = 3/8

Now, 7 shirts are left to wear on Tuesday

P(blue on Tuesday) =2/7

So,

the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

The maximum salary reached in 5th month.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

Learn more about this concept here:

https://brainly.com/question/11553395

#SPJ1

Answer:

I'll do it the answer to x is 5 0 the answer to y will be 0 10

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt {D. Symmetry about the polar axis Theta = 0} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given graph is symmetric along Theta = 0

[ polar axis ]

Because it's a horizontal line that divides the features on the graph into two equal halves. and there's no other suitable symmetric relation.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

Answer:

1-3

2-2

3-1

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

Answer:

B

Step-by-step explanation:

five times x cubed plus/and two times x squared minus nine.

Answer:

k = -3

Step-by-step explanation:

Generally, we determine k by observing

the vertical translation of the original graph

in this case it’s the graph of f

and count the number of units by which it’s translated.

Checking the sign of k :

If the graph is translated up then k > 0

If the graph is translated down then k < 0

……………………………………………………………………

in order to get the graph of g ,the graph of f

is translated 3 units vertically but down

then

k = -3

Answer:

A C D Because dilate means to become larger/smaller

Step-by-step explanation:

The management, organisation, and technology factors contributed to this problem are listed below.

The  problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.

Airways was unable to evaluate and keep track of its marketing efforts.

The technology factor that contributed were:

The Organisation factors that contributed were

The Management factors that contributed were

To know more about  problem at Kenya Airways

https://brainly.com/question/27974672

#SPJ1