Which graph represents an exponential function

This is algebra two graphing exponential functions

The numbers under consideration are:

Converting all the numbers to decimal:

Therefore, the numbers can be written as:

48.4, 48.5, 48.09, and 48.6

Out of these numbers, only 48.6 is closest to 49

It is a mixed number:

THe whole part, 5, is going to stay 5.

Now, let's work with the fractional part.

7/10 into a decimal would require for division.

7 divided by 10 is 0.7

Thus,

IN Decimal, it will be "5.7"

To find percentage from decimal, we multiply by 100 and tag along a % sign.

So,

The number, in percentage, is 570%

Let's check the options

A.

2x - 1 = 2

2x= 3

x= 3/2=1.5

option A has atleast one solution

B

3y+ 1 = 3y

option B has no solution

C.

5p - (3 + p) = 6p + 1

5p - 3 - p = 6p + 1

4p - 6p = 1 + 3

-2p = 4

p =-2

option C has atleast one solution

D.

4/5 m = 1- 1/5 m

4/5 m + 1/5m = 1

1m = 1

m = 1

Option D has atleast one solution

E.

10 + 0.5w = 1/2w - 10

0.5 w - 1/2 w = -10 - 10

option E has no solution

F.

4a + 3(a-2) = 8a - (6+a)

4a +3a - 6 = 8a -6 - a

7a -6 = 7a - 6

option F has many solution. Hence it also has atleast one solution

Therefore;

option A, C, D and F has atleast one solution

Using a linear function, it is found that the monthly cost for 19 HCF is of $41.43.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the parameters of the function are described as follows:

As stated in the problem, the slope is of 1.45, hence:

y = 1.45x + b.

The monthly cost for 22 HCF is $45.78, hence when x = 22, y = 45.78, meaning that the intercept b can be found as follows:

45.78 = 1.45(22) + b

b = 45.78 - 1.45 x 22

b = 13.88.

Then the function is:

y = 1.45x + 13.88.

And the cost for 19 HCF is given by:

y = 1.45(19) + 13.88 = $41.43.

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Percentage is expressed in terms of 100. To find 15% of 764.69, we would multiply ratio of 15% to 100% by 764.69. Thus, we have

15/100 * 764.69

= 114.7035

To find:

We need to find two points on the linear equation y-1=0 and to plot those points on graph.

Step by step solution:

We know that:

General coordinate of any two points on line y = 1:

= (x, 1)

So let us assume any two random points on the line:

= (1,1) and (2,1)

We will now mark them on the graph:

The initial expression is:

So the first step is to multiply the numerator of the second fraction with the denominator of the first franction and the denominator of the second fraction by the numerator of the first fraction so:

So is option C)

Given the equation of exponential decay function:

The given function always decreases overall the domain

so, the answer will be the intervals of decrease is:

The expression given as negative 4 divided by a positive 6 has a value of -2/3

From the question, the expression is given as

negative 4 divided by a positive 6

Rewrite the expression properly

This is rewritten as follows

-4 divided by +6

This can be represented as

-4/6

There are no like terms in the above expression

So, we have the following equation

-4/6 = -4/6

Divide 4 and 6 by a common factor

The common factor is 2

So, we have

-4/6 = -2/3

The expression cannot be further simplified

So, we have the following equation

-4/6 = -2/3

Hence, the value of the expression is -2/3

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The expression given as "negative 4 divided by a positive 6" has a value of that is -2/3

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

From the problem, the expression is given as;

"negative 4 divided by a positive 6"

Rewrite the expression properly then;

-4 divided by +6

This can be express as;

-4/6

There are no like terms in the expression

So, we have the equation;

-4/6 = -4/6

Divide 4 and 6 by a common factor;

The common factor is 2

-4/6 = -2/3

So, we have the equation;

-4/6 = -2/3

Hence, the value of the expression will be; -2/3

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The true statement is the same distance from the center of the circle is they must be perpendicular.

We have given that,

Two chords in a given circle are the same distance from the center of the circle.

The two chords must be equally spaced apart from the circle's center if they are congruent.

A is disregarded because it's possible that the chord won't travel through the circle's center.

Because the chords are not required to be parallel, B is rejected.

Because the chords do not have to be perpendicular, C is rejected.

A chord is any line segment that joins two points on the circle's circumference. While a circle's radius connects the center to the circle's point. As a result, we can conclude that radius is not a chord based on the definitions of both terms.

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ANSWER :

The answer is 20.3971 years

EXPLANATION :

The compounding interest formula is :

where :

FV = future value ($6800)

PV = present value ($2900)

r = rate of interest (4.2% or 0.042)

n = number of compounding in a year (4 : compounded quarterly)

t = time in years

Using the formula above :

Solve for t :

Let the number be x.

Then according to the question,

Thus, the number should be greater than or equal to -12.

The measurements that show equal length exists 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently.

An equation exists an expression that indicates the relationship between two or more numbers and variables.

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd × 36 in per yd = 540 in

195 ft = 195 ft × 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length exists 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft.

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hello

to know what type of sequence they are, we need to test either for common difference of common ratio

first sequence

(98.3, 94.1, 89.9)

first term = 98.3

in this case there's a common difference here

we can find that by subtracting the second term from the first term or the third term from the second term

first sequence is an arithmetic progression

second sequence

(1, 0, -1, 0)

first term = 1

common difference or common ratio does not exist here

third sequence

(1.75, 3.5, 7, 14)

first term = 1.75

in this case, there's no common difference but rather common ratio

common ratio (r) can be found by dividing the second term by the first term or the third term by the second term

the common ratio here is 2 and this is a geometric progression

fourth sequence

(-12, -10.8, -9.8, -8.4)

first term = -12

in this sequence, there's no common difference or common ratio

fifth sequence

(-1, 1, -1, 1)

the fifth sequence is neither a geometric or artimethic progression because there no common difference or ratio

Substitute 2 for x and 1 for in the inequality to verify that ordered pair satisfy the inequality or not.

The inequality is trus so point (2,1) satisfy the inequality.

Substitute 4 for x and 1 for y in the inequality to verify that ordered pair satisfy the inequality or not.

Consider that a standard quadratic equation is given by,

The curve passes through the point (-5,0),

The curve passes through the point (3,0),

Substitute value from equation (1),

The curve passes through the point (4,9),

Substitute tha values from (1) and (2),

Substitute in equation (2),

Substitute the values in equation (1),

Substitute the values of a, b, and c, in the standard equation,

This is the equation of the given parabola.

Therefore, option B is the correct choice.

Answer:

C. y = 1.60 +.08x

Explanation:

The cost of the ice cream will be equal to the fixed cost of $1.60 plus the cost that depends on the number of toppings. So, if Natasha chooses x number of topping, the total cost of the toppings will be 8 cents times x or $0.08x

So, the total cost for the ice cream is represented by the equation:

y = 1.60 +.08x

Based on the substitution method, the solution of the system of the equation is x = 3 and y = 17.

Substitution method:

Substitution method is the way of finding the value of any one of the variables from one equation in terms of the other variable.

Given,

Here we have the system of equations

x + y = 20

y = 3x + 8

Now we need to find the solutions for these equation using the substitution method.

From the given details we know that the value of y is defined as 3x + 8.

So, we have to apply these value on the other equation in order to find the value of x,

x + (3x + 8) = 20

4x + 8 = 20

4x = 20 - 8

4x = 12

x = 3

Now apply the value of x into the other equation in order to find the value  of y,

y = 3(3) + 8

y = 9 + 8

y = 17

Therefore, the solution of the equation is x = 3 and y = 17.

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A' ∩ C U B in roster form is {3, 7, 8, 9}

To write a set in a roster form, the elements in the set are written in a row within curly brackets.

The following are set symbols and their meaning:

• U = union = it means all the elements in two or more sets.

• ∩ = intersection = it means elements that are common to two or more sets.

• ' = complement = it means elements that are not in the set but in the universal set.

A' = {3, 6, 7, 8, 9}

C U B = {2, 3, 4, 5, 7, 8, 9}

A' ∩ C U B = {3, 7, 8, 9}

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we have that

Let

x ------> the distance in miles from a point on the ground (the red line)

In the right triangle of the figure

sin(6.5)=7,000/x

solve for x

x=7,000/sin(6.5)

using a calculator

x=61,835.70 ft

Convert to miles

Remember that

1 mile=5,280 ft

so

61,835.7 ft=61,835.7/5,280=11.71 miles

therefore

For 1, we have the following triangle:

Using the cosine function to get the hypotenuse we get:

Now that we have the hypotenuse, we can find the remaining side using the pythagorean theorem:

Therefore, the value of the remaining side is 7.

Let's make y the subject of the equation.

The correct option is A

Using elimination:

Therefore, the answer is:

B) Multiply A by 1 and B by -3

the rational number :

-1 ³/₄ is located as point 1

14/8 is located as point 5

1.125  is located as point 6

-0.875 is located as point 4

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

Here,

the rational number -1 ³/₄ is located as point 1, as -1 ³/₄ is greater then -1 and less then -2 on number line and is 3/4 of the gap between -1 and -2.

the rational number 14/8 is located as point 5, as 14/8 is greater then 0 and less then 1 on number line and is 3/4 of the gap between 0 and 1.

the rational number 1.125  is located as point 6, as 1.125 is greater then 1 and less then 2 on number line and is 1/8th  of the gap between 1 and 2.

the rational number -0.875 is located as point 4, as -0.875 is greater then 0 and less then -1 on number line and is 1/8 th of the gap between -1 and 0.

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5 quarters, 3 dimes, 7 nickels

Let the number of quarters in the jar = q

Let the number of dimes in the jar = d

Let the number of nickels in the jar = n

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

The jar is filled with quarters, dimes, and nickels, totaling $1.90

This can be represented mathematically as:

0.25q + 0.1d + 0.05n = 1.90.........(1)

There are two more quarters than dime:

q = d + 2..............(2)

There are two more nickels than quarters

n = q + 2..............(3)

make d the subject of the formula in equation (2)

d = q - 2............(4)

Substitute equations (3) and (4) into equation (1)

0.25q + 0.1(q - 2) + 0.05(q + 2) = 1.90

0.25q + 0.1q + 0.05q - 0.2 + 0.1 = 1.90

0.4q - 0.1 = 1.90

0.4q = 1.90 + 0.1

0.4q = 2.0

q = 2.0/0.4

q = 5

n = q + 2

n = 5 + 2

n = 7

d = q - 2

d = 5 - 2

d = 3

There are 5 quarters, 3 dimes, 7 nickels

To know which one is the best option we have to divide the cost in the number of pencils so:

the second option is:

the thert option is:

So the best option is the second option