for the function what are the possible values for B if the function is an exponential decay function select the two right answers

Okay, here we have this:

Considering the provided function, we are going to graph it, so we obtain the following:

First, we are going to start with the graph of the basic function, so the graph so far is:

Now, we are going to add 1 inside the square, which is reflected in a shift of the graph one unit to the left, so we have:

We continue, multiplying the entire function by -2, which results in a compression of the graph, and in a reflection on the x-axis due to the change of sign, now we have:

And finally we add two units to the whole function, therefore it means that the graph will move up two units, leaving the following graph:

Finally we obtain that the correct answer is the first answer choice.

Relative frequency of T = 9/25

Total number of T's = 18

Total number of A's = 10

Total number of E's = 18

Total number of U's = 4

Total = 18 + 10 + 18 + 4 = 50

Relative frequancy = number of time the letter occurred/total letters

Relative frequency = 18/50

To the simplest form:

Relative frequency of T = 9/25

we have the expression

Remove parenthesis

Group similar terms

Combine like terms

5 units left and 2 units down

We know that the point-slope forumal is given by:

where the terms: m, y₁ and x₁ are numbers.

Given that the line passes through a given points we have that:

m is the slope of the line

y₁ is the y value of that given point

x₁ is the x value of that given point

In this case we have that

1. It has a slope of 2, then m = 2

2. The line intercepts the point (-2, 1). Since (-2, 1) = (x₁, y₁) then

x₁ = -2 and y₁ = 1

We have that

m = 2

x₁ = -2

y₁ = 1

Let's replace those values in the first formula:

The one that doesn't belong is 4² = 4² + 4²

Explanation:

2² = 2 × 2

4² = 4 × 4

4² is not equal to 4² + 4²

this is because 4² + 4² = 16 + 16 = 32

while 4² = 4 × 4 = 16

The one that doesn't belong is 4² = 4² + 4²

To reduce to the lowest terms we notice that:

now, we can eliminate the 6 and 2 that repeat in the numerator and denominator, thereforew the fraction in lowest terms is:

The equation of a circle with radius r and center at (h,k) is given by:

(x + h)² + (y + k)² = r²

If r = 8 and (h,k) = (4,-9), we have:

(x-4)² + (y + 9)² = 8²

For an isosceles triangle, two sides are equal and for right triangle o angle should be of 90 degree.

Let the third point coordinate be (x,y).

The distane between given point (-2,-4) and (4,-4) is 6.

The on angle is 90 degree which means one side is perependicular to the given side.

The coordinate of third point must be equal to (4,y) or (-2,y).

As triangle is isosceles so distance between point (4,y) and (4,-4) is equal to 6.

Thus coordinate of third point can be (4,2).

Second case if third point is (-2,y).

Distance between point (-2,y) and (-2,-4) is 6, as triangle is isosceles triangle.

Thus third coordinate can be (-2,2).

As from the options only (4,2) is correct.

If DE = 6x - 7 and AE = 4x + 9, find DB.

DE and AE are line segments. We need to equal DE = AE

Now, DB = DE + EB

x = 8

DB is 82

Simple interest = PRT /100

where P is the principal

R is the rate

T is the time in year

From the question

P=$5700 R=9 T=1

substitute the values into the formula;

S.I = 5700 x 9 x 1 /100

=$513

Amount pay back = $5700 + $513 = $6,213

Slope intercept form

y= mx + b

Where:

m= slope

b= y-intercept

So, first, we have to solve for y:

-6x +2y = 10

2y = 6x + 10

y = (6x + 10) /2

y = 3x + 5

Slope = 3

y-intercept = 5

7 more than t

The algebraic expression is:

Answer: t + 7

Given:

Line a is parallel to line b.

Line a passes through the points (1,7) and (2,-4).

Line b passes through the point (6,14).

The objective is to find the equation of the line b in slope intercept form.

For parallel lines the slope of the two lines will be equal.

Consider the coordinates of the line a as,

The slope of line a can be calculated as,

Since both are given as parallel lines, the slop of line b will be,

If the line b passes throught the point (6,14), the equation can be represented as,

Hence, the equation of line b is y = -11x+80.

Answer:

750000

Step-by-step explanation:

Given the following rational exponent:

(x²y³z)^1/5

Putting it into a radical expression will be:

EXPLANATION:

Given;

We are told that Janet, Li Na and Katie all have a total of 68 beads.

We are also told that;

(i) Janet has 3 times as many beads as Li Na

(ii) Katie has 5 more beads than Janet.

Required;

We are required to find out how many beads Katie has.

Step-by-step solution;

From the conditions given, Janet has 3 times as many beads as Li Na. That means if Li has an y number of beads, Janet's would be times 3.

Therefore, if Li Na is L and Janet is J, then it means;

Also we are told that Katie has 5 more beads than Janet. That means, if Katie is K, then;

Bear in mind that they all have a total of 68 beads. Hence, we add up their beads as follows;

Subtract 5 from both sides;

Divide both sides by 7;

This means Li Na has 9 beads. If Katie's bead is given by the expression 3l + 5, then she will have;

ANSWER:

Katie has 23 beads.

Given that the point (-2, 1) is translated 3 units down and 2 units to left. The coordinate of the new point would follow the translation rule

Therefore, the coordinates of the new point following the translation rule are:

The correct answer is (-4,-2)

Data

Point (4, 4)

Equation

y = -6x + 5

Procedure

As the straight line is parallel we use the same slope of the original straight line.

m = -6

Now we will calculate y-intercept

The equation would be:

Now in the standard form: 6x+y=28

Given:

To Determine: The probability that a randomly selected customer will have to wait less than 21 minutes, to the nearest thousandth

Solution

Using normal distribution formula below

Substitute the given into the formula

Hence, the probability that a randomly selected customer will have to wait less than 21 minutes, to the nearest thousandth is 0.014

The median is the centermost data in a set of values.

Since these graphs are for the year 2013, meaning, these graphs contained 365 days of recorded temperature.

For 365 days, the centermost data would be the 183rd day.

Let's take a look at each graph what is the temperature on the 183rd day when data is arranged from lowest to the highest temperature.

As we can see above, the first two bins of the histogram only cover 180 days. Since we are looking for the 183rd day, we moved to the third bin. Hence, the median temperature for City A is between 65 to 75 ℉.

For City B,

The 183rd day in City B is found on the interval 55-75. Hence, the median temperature for City B is between 55-75℉.

Lastly, for City C:

As we can see in the graph above, the 183rd day is approximately closed to the third bin. Hence, for the 183rd day, we can say that the temperature is between 65 to 75℉. The median temperature for City C is between 65 to 75℉.

Given an equation to solve for n:

The expansion of the given sum is as follows:

Now, factorise the above quadratic equation:

Use zero product rule in the equation to get:

5n + 83 = 0 or n - 24 = 0 which implies n = -83/5 and n = 24.

Neglect the negative solution of the equation to get n = 24.

Thus, the answer is 24.

The given equation is

Dividing by 3 both sides, we get

Multiplying 3 and (x-5) as follows.

Adding 15 on both sides, we get

Adding 2x on both sides, we get

Dividing by 5, we get

Hence the value of x is 4.

Given that the player can or cannot hit the ball, then this situation can be modeled with the binomial distribution.

Binomial distribution formula

where

• P: binomial probability

• nCx: number of combinations

• p: probability of success in a single trial

• x: number of times for a specific outcome within n trials

• n: number of trials

Substituting with n = 7, x = 4, and p = 0.33, we get:

The probability is 0.125

The intersection of the 2 lines is the point of the solution of the graph . Using the graph above , the meeting point of the 2 lines are

Given:

The coordinates of point A is (-1, 2).

To find:

The reflection of point A across the x-axis.

Solution:

It is known that the reflection of a point (x, y) about the x-axis is (x, -y).

So, the reflection of point A is (-1, -2).

Thus, option C is correct.

The sets of even and odd counting numbers are both infinite in size (number of elements). However, we can map each even counting number to each odd counting number as follows:

So we have the mapping rule:

Then, we can say that there are as many even counting numbers as there are counting numbers, or equivalently, that both sets have the same cardinality.

Answer: True

Arithmetic sequence

a= 26

a4 = 71

a32 = 1.

an = a1 + (n-1)d

a4 = a1 + (3)*d

71 = a1 + (3)*d (I)

a32 = a1 + (31)*d

1 = a1 + 31 d (II)

to find a1 and d we subtract (II)- (I)

1 = a1 + 31 d (II)

-( 71 = a1 + (3)*d) (I)

________________

-70 = 0 28 d

-70 = 28 d

d= -70/ 28

d= -5/2

Replacing d in (I)

71 = a1 - (3)(5/2)

a1= 71 + (3)(5/2)

a1= 78.5

The arithmetic sequence is

an = a1 + (n-1)d

an = 78.5 + 2.5 (n-1)

Verifying

a4 = 78.5 - 2.5 (3) = 78.5 -7.5= 71

a32 = 78.5 +2.5 (31) =78.5 -77.5 = 1

a26 = 78.5 + 2.5 (25) = 78.5 - 62.5 = 16

Give me some minutes

______________________

Answer

a26 = 16

Write the equation in slope-intercept form through the point (3, 1) and is perpendicular to the y-axis and graph​

step 1

we know that

If the line is perpendicular to the y-axis, that means that the line is parallel to the x-axis

so

Its a forizontal line

the slope is equal to zero

therefore

the equation is

y=1

using a graphing tool

see the attached figure

please wait a minute

Explanation

to add two functions just add like terms,Like terms" are terms whose variables and their exponents, are the same

so

Step 1

let

hence

we can see the only pair of like terms ar +1 and (-3), so

I hope this helps you