Which equation is represented by the graph below?

A. y= in x-3
B. y= in x-4
C. y=e^x -3
D. y= e^x -4

Which Equation Is Represented By The Graph Below?A. Y= In X-3B. Y= In X-4C. Y=e^x -3D. Y= E^x -4

Answers

Answer 1
Hello!

The answer is:

The equation that is represented by the shown graph is the equation from the option D.

[tex]y=e^{x}-4[/tex]

Why?

Since we are given two types of functions, exponential and logarithmic, we need to remember that there is just an option that matches with the graph.

So, from the graph we can see that we are looking for an exponential function which intercepts are located at the point (0,-3) and a point which y-coordinate is equal to 0 and its x-coordinate is located at the x-axis between the number 1 and 2.

From the given options we can see that the only exponential function that intercepts the function at y equal to -3 is the fourth option, so, let's prove that:

Option D,

[tex]y=e^{x}-4[/tex]

Finding the y-intercept, we need to make "x" equal to 0, so:

[tex]y=e^{x}-4[/tex]

[tex]y=e^{0}-4[/tex]

[tex]y=1-4=-3[/tex]

So, we know that the y-intercept point is located at (0,-3)

Finding the x-intercept, we need to make "y" equal to 0, so:

[tex]0=e^{x}-4[/tex]

[tex]e^{x}=4[/tex]

[tex]ln(e^{x})=ln(4)\\x=ln(4)=1.386[/tex]

So, we know that the x-intercept point is located at (1.386,0)

Hence, we have that the axis interception points are (0,-3) and (1.386,0), so, the function that matches with the shown graph is the function from the option D.

[tex]y=e^{x}-4[/tex]

Have a nice day!

Note: I have attached a picture for better understanding.

Which Equation Is Represented By The Graph Below?A. Y= In X-3B. Y= In X-4C. Y=e^x -3D. Y= E^x -4
Answer 2

Answer:

The equation that is represented by the shown graph is the equation from the option D.

Step-by-step explanation:


Related Questions

Paul received a $12,000 loan from the bank the bank charges 6. 99% Do you eat interest-rate after four years how much money does Paul owe in the interest?

Answers

Answer:

  $3355.20

Step-by-step explanation:

The formula for simple interest is ...

  i = Prt

where P is the principal amount, r is the annual rate, and t is the number of years. Fill in the given values and do the arithmetic.

  i = 12,000×0.0699×4 = 3355.20

Paul owes $3355.20 in interest.

A spinner with six sections labeled A through F is spun. What is the probability of spinning the letter labled D?

Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

1/6

Step-by-step explanation:

I guess we are to assume each is equally likely.  There a 6 possible outcomes and one D so the answer is 1/6

Which absolute value function, when graphed, will be narrower than the graph of the parent function, f(x) = |x|? f(x) = |x| – 3 f(x) = |x + 2| f(x) = 0.5|x| f(x) = 4|x|

Answers

Answer:

f(x) = 4|x|

Step-by-step explanation:

the graph of f(x) = |x|, looks like a "V"

if we want to make the graph "narrower", what we are doing is really trying to make the slope steeper (i.e more vertical) so that the opening of graph at the top of the "V" becomes smaller.

in order the make the slope steeper, we have to multiply the x-term of the function (in this case |x|) by any factor that is greater than 1. (multiplying by factors smaller than 1 will make the slope more gentle and hence making the "V" wider).

The only choice that shows the original function multiplied by a number that is greater than 1 is f(x) = 4|x|

Answer:

D

Step-by-step explanation:

Sam recorded the number of points she scored on each weekly test out of the number of points possible for the test. In which two subjects did Sam score the lowest? Choose exactly two answers that are correct. Language Arts History Science Math Sam's Test Scores Math 2225 Science 1920 Language Arts 84100 History 910

Answers

Makes no sense.

He scored the lowest in History and Science. Compare the numbers to help you prepare the obvious chart.

Sam scored the lowest in Language Arts with 84% and Math with 88%.

To determine this, We need to calculate Sam's percentage scores for each subject:

Math: [tex]\frac{25}{25}*100[/tex] = 88%Science: [tex]\frac{19}{20}*100[/tex] = 95%Language Arts: [tex]\frac{84}{100} *100[/tex] = 84%History:[tex]\frac{9}{10}*100[/tex] = 90%

Based on these calculations, the two subjects where Sam scored the lowest are Language Arts (84%) and Math (88%).

complete question:

Sam recorded the number of points she scored on each weekly test out of the number of points possible for the test.In which two subjects did Sam score the lowest?Choose exactly two answers that are correct. Sam's Test Scores in Math  22/25 ,in Science 19/20 ,in Language Arts 84/100 ,in History 9/10.

What is the slope and y-intercept form for : y=-2/4x+5 PLEASE HELP IT WOULD ME SO MUCH THANK YOU!!!!

Answers

Answer:

  y = -1/2x +5

Step-by-step explanation:

Slope-intercept form is ...

  y = mx + b

Matching this to the equation you have, you see that ...

  m = -2/4 = -1/2

  b = 5

The equation is already in slope-intercept form. The fraction that is the slope can be reduced, but that is not essential to the form.

Given the following linear function identify the slope in the Y intercept of the function

Answers

Answer:

Choice #2

Step-by-step explanation:

Your linear function is in the slope-intercept form of a line, y = mx + b, where m is the value of the slope, and b is the value of the y-intercept.  The number in the m position in your equation is 1/6, and thee number in the b position in your equation is 7.  So the second choice is the one you want.

Find the inverse of h(x) = (2x + 6)/5

Answers

Answer:

h^-1(x) = (5x - 6)/2

Step-by-step explanation:

To find the inverse of h(x) = (2x + 6)/5, we need to solve for 'x':

y = (2x + 6)/5 ⇒ 5y = 2x + 6 ⇒ 5y - 6 = 2x ⇒ x = (5y - 6)/2

Therefore, h^-1(x) = (5x - 6)/2

Answer:

(5x-6)/2

Step-by-step explanation:

h(x) = (2x + 6)/5

y =  (2x + 6)/5

To find the inverse, exchange x and y

x = (2y+6) /5

Then solve for y

Multiply each side by 5

5x = (2y+6)/5*5

5x = 2y+6

Subtract 6 from each side

5x-6 = 2y+6-6

5x-6 = 2y

Divide by 2

(5x-6)/2 = 2y/2

The inverse is

(5x-6)/2

Luis has saved $6. He doubles the amount he saves each week.Does this represent an exponential function?Complete: this______ represent an exponential function , because his savings increase by a constant______. Thank you so much in advanced ?

Answers

Answer:

This does represent an exponential function , because his savings increase by a constant rate

Step-by-step explanation:

Let

x -----> the number of weeks

y ----> the amount saved

In this problem we have a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

r is the rate of change

where

[tex]a=\$6[/tex]

[tex]r=100\%=100/100=1[/tex] ---- because he doubles the amount each week

[tex]b=1+r[/tex] ----> [tex]b=1+1=2[/tex]

substitute

[tex]y=6(2)^{x}[/tex]

therefore

This does represent an exponential function , because his savings increase by a constant rate

Triangle ABC contains side lengths b = 3 inches and c = 7 inches. In two or more complete sentences describe whether or not it is possible for m ∠ B = 15°.

Answers

Explanation:

A triangle can be formed for b=3 and B=15° as long as side c is between 3 and 3/sin(15°) ≈ 11.59 inches in length. The limit for side c on the high end is that it is opposite a right angle. The limit for side c on the other end is that it is opposite a linear angle.

For the given length of side c, there are two possible triangles with b=3 and B=15°. (See attached.)

_____

For the given values of b and c, the largest possible value of B is the angle that puts side c opposite a right angle: B ≤ arcsin(3/7) ≈ 25.3769°

What must be done to each side of the equation to find the value of n?

-4n = 696

A)
add -4

B)
multiply by -4

C)
subtract -4

D)
divide by -4

Answers

Answer:

Divide both sides by -4.

Step-by-step explanation:

If you divide both sides by -4, you'll get the answer n=−174.

Please mark brainliest!

Answer:

D

Step-by-step explanation:

-4n = 696

What must be done to each side of the equation to find the value of n?

Divide both sides by -4 to find the value of n

∴ -4n/-4 = 696/-4

n = -174

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y

Answers

Answer:

y = 2x + 20

Step-by-step explanation:

2 * x is the number of minutes from the math problems

20 is the number of minutes for the history homework

Answer:

y= 2x=20

Step-by-step explanation:

Suppose that the following group of values has been entered into the TVM Solver of a graphing calculator: N=300; I%=8.7; PV=115000; PMT=–941.56172; FV=0; P/Y=12; C/Y=12; PMT:END. Which of the following uses of the "bal(" function will give the balance on the loan in question after 13 years?



A. bal(13)


B. bal(144)


C. bal(156)


D. bal(12)

Answers

Answer:

  C.  bal(156)

Step-by-step explanation:

In 13 years, there are ...

  13 × 12 = 156 . . . months.

So, the balance after the 156th payment is desired. The bal(156) function of a TI-84 graphing calculator will give that value.

Answer:

bal (156) is the right APEX answer. hope this helps!!

A squar has a premeter of 12x+52 units which expression represents the side length of the square in units?

Answers

The square had a side length of 3x+13.

Because the perimeter is 12x+52, you have to divide that by each of the four sides.

x + 4 x + 40 3x + 13 3x + 43

Simplify the expression using properties of exponents

Answers

Answer:

Option A

Step-by-step explanation:

This is because whenever you have a negative exponent, you put it to the reciporical value of it.  If you have two same exponenet bases, you add them up.

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

The option (A) is correct after using the properties of the integer exponent.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

[tex]\rm =\dfrac{\left(10a^{-8}b^{-2}\right)}{4a^3b^5}[/tex]

[tex]\rm =\dfrac{5a^{-8}b^{-2}}{2a^3b^5}[/tex]

[tex]= \rm \dfrac{5b^{-2}}{2a^{11}b^5}[/tex]

[tex]\rm =\dfrac{5}{2a^{11}b^7}[/tex]

Thus, the option (A) is correct after using the properties of the integer exponent.

Learn more about the integer exponent here:

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If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°? (1 point) \

Answers

Answer:

Sin x = a / b.

Step-by-step explanation:

The opposite side =a and the adjacent side = 4 (because tan x = a/4.

Cos x = 4/b so the hypotenuse = b ( because  Cos = adjacent /hypotenuse.

So sin x = opposite /hypotenuse = a / b.

Answer:

sin x° = a divided by b is the answer

Step-by-step explanation:

I got 100% on the test!

smart people help me please​

Answers

Answer:

X=5

Step-by-step explanation:

1: 90 plus 50 because there is a 90 degree angle

2: 8x=140 and then you divide by 8

3: x=5 I hope I helped you and I hope you have a wonderful day

Answer:

X=5

Step-by-step explanation:

8x+50=90

    8x=40

        x=5

Which function has two x-intercepts, one at (0,0) and one at (4,0)?

f(x) = x(x - 4)

f(x) = x(x + 4)

f(x) = (x - 4)(x - 4)

f(x) = (x + 4)(x + 4)

Answers

The answer would be A

The way to go about this to find which answer would equal zero when x = 0 and 4

Answer:A

Step-by-step explanation:

the number of bacteria growing in an incubator culture increases with time according to b(x)=8500(3)^x where x is the time in days. After how many days will the number of bacteria in culture be 2,065,500?

Answers

Answer:

  5 days

Step-by-step explanation:

Put the given number in the formula and solve for x.

  2065500 = 8500·3^x

  243 = 3^x . . . . . . . . . . . divide by 8500

  log(243) = x·log(3) . . . take logarithms

  log(243)/log(3) = x = 5 . . . . divide by the coefficient of x

After 5 days, the number of bacteria in culture will be 2,065,500.

please help!

The total number of fungal spores can be found using an infinite geometric series where a1 = 11 and the common ratio is 2. Find the sum of this infinite series that will be the upper limit of the fungal spores.

465
280
The series is divergent
125

Answers

Answer:

  The series is divergent

Step-by-step explanation:

An infinite geometric series with a common ratio greater than 1 does not converge to a sum. The series is divergent.

The Substitution Property of Equality states that if m<2+m<3=m<5 and m<2=25, then _____ ____ m<5​

Answers

Step-by-step explanation:

[tex]m\angle2+m\angle3=m\angle5\ and\ m\angle2=25,\ then\ 25+m\angle3=m\anlg5[/tex]

Insert 25 instead of m<2 into the equation

Answer:

25 + m∠3 = m∠5

Step-by-step explanation:

Substitution property of equality states that,

If a + b = c and b = e ⇒ a + e = c

Given,

[tex]m\angle 2 + m\angle 3 = m\angle 5[/tex] and [tex]m\angle 2 = 25[/tex]

By substituting the value of m∠2 in first equation,

[tex]25 + m\angle 3 = m\angle 5[/tex]

Hence, the missing terms is '25 + m∠3'

Use the graph of each polynomial function to find the factored form of the related polynomial. Assume the polynomial has no constant factor.

B.
What are the zeros of this function? (2 points) _____, _____
What is the factorization of the polynomial? (2 points)

Answers

Answer:

zeros: x = 1, x = 3y = (x -1)(x -3)

Step-by-step explanation:

The zeros are the x-values where the graph crosses the x-axis (y=0; That's why it is called a "zero.") The graph crosses y=0 at x=1 and x=3.

A factor of the polynomial is zero at each zero. Hence the factorization is ...

  y = (x -1)(x -3)

The first factor is zero at x=1; the second factor is zero at x=3.

Which of the following values are in the range of the function graphed below? Check all that apply


Please help! - Will give the answer "brainliest!"

Answers

D.

The equation is y = 1, so the only number of the range is 1
Answer:

Option: D is the correct answer.

The values that lie in the range of the function which is graphed is:

                       D.   1

Step-by-step explanation:

Range--

The range of the function is the possible values which are attained by the function.

i.e. the values of y as is obtained corresponding to different x as in the domain.

By looking at the graph of the function is defined over the interval [-2,1] and the graph passes through (0,1) and is parallel to the x-axis.

Hence, the range of the function is: 1

( Since it takes just a single value i.e. 1 over the interval [-2,1] )

Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1,000 earthworms. How many earthworms can he have if his square of compost has a side length that is five times longer?
A.) 20,000
B.) 25,000
C.) 100,000
D.) 5,000

Please be original!!! I am torn between B and D. THANKS!

Answers

Answer:

The answer is D: 5,000

Step-by-step explanation:

That is the easiest question to solve. Good luck!

The number of earthworms he have if his square of compost has a side length that is five times longer is 5000.

How many earthworms can he have?

The first step is to determine the number of earthworms in a compost with a side length of 1.

1000 / 4 = 250

Number of earthworms with side length five time longer : (4 x 5) x 250 = 5000

To learn more about multiplication, please check: https://brainly.com/question/13814687

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Which of these expressions will give the unpaid balance after 6 years on a $90,000 loan with an APR of 7.2%, compounded monthly, if the monthly payment is $708.61?

A. 90,000(1+0.072)^72+708.61[1-(1+0.072)^72/0.072]
B. 90,000(1+0.006)^6+708.61[1-(1+0.006)^6/0.006]
C. 90,000(1+0.006)^72+708.61[1-(1+0.006)^72/0.006]
D. 90,000(1+0.072)^6+708.61[1-(1+0.072)^6/0.072]

Answers

Answer:

  none of the expressions shown is correct

  The appropriate expression is ...

     90,000(1+0.006)^72+708.61[(1-(1+0.006)^72)/0.006] . . . best matches C

Step-by-step explanation:

The formula used to calculate the remaining balance is ...

  A = P(1 +r)^n +p((1 -(1 +r)^n)/r) . . . . . note the parentheses on the fraction numerator

In this formula, r is the monthly interest rate: 7.2%/12 = 0.006, and n is the number of monthly payments: 6×12 = 72. Putting these values into the formula along with the loan amount (P=90,000) and the payment amount (p=708.61) gives ...

  A = 90,000(1.006)^72 +708.61((1 -(1.006)^72)/0.006)

  A = 74,871.52

Answer: the answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

squared or cubed is indicated to the top right of a number - what does 3/2 stand for? Is it a number cubed? Or squared?

Answers

Answer:

Step-by-step explanation:

3/2 is a power of 1.5 or equivalently 1 1/2.  This is another way to write a radical.

[tex]x^\frac{3}{2}=\sqrt[2]{x^3}[/tex]

In 1950, scientists estimated a certain animal population in a particular geographical area to be 6,400. In 2000, the population had risen to 7,200. If the animal population experiences the same percent increase over the next 50 years, what will the approximate population be?

A) 8,000
B) 8,100
C) 8.400
D) 8.600

Answers

B) The estimated animal population in 2050, given the same percent increase from 1950 to 2000, will be approximately 8,100.

The percent increase from 1950 to 2000 =  (New Population - Original Population) / Original Population x 100%

In this case, it is:

(7200 - 6400) / 6400 x 100%

= 12.5%

The population in 2050 under the same percent increase, we apply this percentage to the population in 2000:

7200 x (1 + 12.5/100) = 7200 x 1.125 = 8100

The expected population in 2050 is 8,100.

Thus, the correct answer is B) 8,100.

To calculate the percent increase over 50 years, we first find the absolute increase from 1950 to 2000, and then determine the percent increase relative to the initial value in 1950.

Next, we apply that percent increase to the population in 2000 to predict the population in 2050.

Calculate the Absolute Increase

The increase in the animal population from 1950 to 2000 is:

[tex]\[7200 - 6400 = 800.\][/tex]

Calculate the Percent Increase

To find the percent increase over the period from 1950 to 2000, use the following formula:

[tex]\[ \frac{{\text{increase}}}{{\text{initial value}}} \times 100 = \frac{{800}}{{6400}} \times 100 = 12.5\%. \][/tex]

Thus, the population increased by 12.5% over 50 years.

Apply the Percent Increase to Predict the 2050 Population

Given the 12.5% increase, the expected increase in population from 2000 to 2050 would be 12.5% of 7200:

[tex]\[ 0.125 \times 7200 = 900. \][/tex]

Thus, the predicted population in 2050 is:

7200 + 900 = 8100.

Question :

In 1950, scientists estimated a certain animal population in a particular geographical area to be 6,400. In 2000, the population had risen to 7,200. If the animal population experiences the same percent increase over the next 50 years, what will the approximate population be?

A) 8,000

B) 8,100

C) 8.400

D) 8.600

PLEASE HELP


How can I find the measure of Angle A?

Answers

Answer:

∠A ≈ 58.1°

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for ∠A

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8.2}{5.1}[/tex], hence

A = [tex]tan^{-1}[/tex] ( [tex]\frac{8.2}{5.1}[/tex] ) ≈ 58.1°

Find the solution(s) to the system of equations. Select all that apply
y=x^2-1
y=2x-2

Answers

Step-by-step explanation:

y = x^2 - 1  

y = 2x - 2

x^2 - 1 = 2x - 2

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x = 1

Because x = 1 the answer must be D (1, 0).

Answer:

(1,0)

Step-by-step explanation:

Replace x values and y values with the answer choices.

[tex]y=(1)^2- 1 = 0[/tex]

[tex]y= 2(1)-2=0[/tex]

Since the coordinate pair [tex](1,0)[/tex] it is safe to assume that D will be the correct answer.

Use the graph to confirm that the solution is (1,0)

The blue line intersects at (1,0), so the solution for the system of equations is (1,0)

Which equation can be used to solve for the unknown number? Seven less than a number is thirteen.
n-7=13
7-n=13
n+7=13
n+13=7

Answers

Answer:

n-7=13

Step-by-step explanation:

We need to find an equation that represents the expression: "Seven less than a number is thirteen".

It means that a number minus 7 equals 13. So, the correct option is: n-7=13

Bonus: Solving for 'n' we have that n=20.

So, Seven less than 20 equals 13!!

Answer:

the anwser is: n-7=13

Step-by-step explanation:

i took the test:)

Help with this question, please! I don't understand!

Answers

Answer:

(1, -5); (4, 3)

Step-by-step explanation:

We generally orient maps with north at the top. This problem presumes that orientation along with a grid having units of 1 mile. "Town Center" is taken to be the origin of the grid. As is usually the case, left/right coordinates are indicated first in an ordered pair, with up/down coordinates being indicated second.

Then the warehouse location 8 miles south and 3 miles west of Town Center is considered to have coordinates of (-3, -8). Movement 3 miles north and 4 miles east is considered to be translation by (4, 3). This translation vector is the answer to the second part of the problem.

The answer to the first part of the problem is the sum of the starting position and the translation:

(-3, -8) +(4, 3) = (1, -5)

The truck's final position is (1, -5). The translation vector to get it there is (4, 3).

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