Find the x-intercept and y- intercept of the function f(x) = (2x + 3)/(x ^ 2 + 3)can u draw the function of f(x) = (2x + 3)/(x ^ 2 + 3)?Need solution ^^

Answer:

The variable x represents the number of fish tanks he/she sells.

Explanation:

Given that Eric's base salary is still $1400, but now he makes a commission of

$100 for each fish tank that he sells and Nancy now gets a base salary of $500 per month, but her commission has stayed the same at $250 per fish tank.

Eric's total income would be;

$1400 plus $100 times the number of fish tanks he sells.

and Nancy's total income would be;

$500 plus $250 times the number of fish tanks she sells.

Therefore, the variable x represents the number of fish tanks he/she sells.

The number of fish tanks each of them sells will determine the total commission and also determines their total income.

Answer:

80.58

Step-by-step explanation:

do you need an explanation or will this be fine?

Volume of a cone =

From the question;

r= 4 h=7

π is a constant and it is equal to 22/7

substitute the values into the formula;

The system of equations given has infinitely number of solutions.

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

system of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

In the given question, we can solve for the equation given;

[tex]y = 4x + 5\\-8x + 2y = 10\\[/tex]

Solving for both x and y;

The solution of the equation is y = 4x + 5

The system has infinitely many solutions;

In the second system of equations;

y = 0.5x + 3, x = 2y = -16

This equation is not correct.

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The two values for the quadratic equation [tex]x^{2} +3x-5=0[/tex] is [tex]\frac{-3+\sqrt{29} }{2}[/tex] and [tex]\frac{-3-\sqrt{29} }{2}[/tex]

What is quadratic equation?

Quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

The solution of the x = [-b±√(b2-4ac)]/2a

where b= 3 a= 1 and c = -5.

x = -3±[tex]\sqrt{3^{2}-4(1)(-5) } /2[/tex]

x=[tex]\frac{-3-\sqrt{29} }{2}[/tex]

and x = [tex]\frac{-3+\sqrt{29} }{2}[/tex]

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The amount of space taken by 39 of these pictures is 117 megabytes.

The unitary approach is a problem-solving process that begins by identifying the value of a single unit and then multiplying that value by the needed value.

Given:

Number of pictures downloaded by Kelly from her cell phone to her computer = 195

Amount of space taken by the pictures = 585 megabytes

Now, an equal amount of space is taken by each picture.

To determine, the megabytes taken by 39 of these pictures.

By the unitary method,

195 pictures = 585 megabytes

39 pictures = ? megabytes

Divide 585 megabytes by the number of pictures 195 and then multiply it by 39.

= (585/195) × 39

= 117 megabytes

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Explanation

An absolute maximum point is a point where the function obtains its greatest possible value.

Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Step 1

check the graph of g:

The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function

so, for G

Step 2

Now, for h

I hope this helps you

Answer:

3: 113.04 m^2

Step-by-step explanation:

pi r^2

3.14 x 36

= 113.04 m^2

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The measures of the angle x in the triangle is 100 degrees

From the question, we have the following parameters that can be used in our computation:

Angles = 34, 46 and x

The sum of angles in a triangle add up to 180 degrees

This is represented as

Sum of angles = 180

Substitute the known values in the above equation

So, we have

34 + 46 + x = 180

Evaluate the like terms in the above equation

So, we have

80 + x = 180

Evaluate the like terms in the above equation

So, we have

x = 100

Hence, the value of x is 100

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If the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

As given in the question,

Side mirror of a small pick up truck is similar to larger full size pick up truck.

Smaller truck has rectangular side mirror

Width = 5.0 in.

Height = 6.0 in.

Larger mirror

Width = 10.0 in.

Let h be the height of the larger mirror

Both the mirrors are similar and rectangular in shape.

Hence, sides are in proportion

5 /6 = 10 /h

⇒h = (6 ×10) / 5

⇒ h = 12 in.

Therefore, if the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

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The value of the set  (A∪C)'∩B is {9 , 12} .

A subfield of mathematical logic called set theory examines sets, which are essentially collections of objects.

The given sets are:

U ={1,2,3,4,5,6,7,8,9,10,11,12,13}

A = {3,7,11,13}

B = {3,6,9,12,13}

C = {2,3,5,6,7,8}

Now B' = {1,2,4,5,7,8,10,11}

b) B'∩C = {2,5,7,8,}

c) A∪C = {2,3,5,6,7,8,11,13}

(A∪C)' = {1,4,9,10,12}

(A∪C)'∩B = {9 , 12}

Hence the value of the set (A∪C)'∩B is {9 , 12} .

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The volume of a rectangular prism can be calculated with the following formula:

Where "l" is the length, "w" is the width and "h" is the height.

In this case, you can set up that:

Answer:

The sequence cannot be arithmetic.

Explanation:

Given the sequence: 6,12,24,48

We want to determine if the sequence is arithmetic.

An arithmetic sequence is a sequence made in which the next term is obtained by the addition of a constant term called the common difference.

In the given sequence:

The difference between the terms is not constant.

Therefore, the sequence cannot be arithmetic.

The number written in scientific notation is 1.12 × 10⁻² .

Scientific notation can be used to describe values that are either too large or too little to be conveniently presented in decimal form (typically would result in a long string of digits).

The given number is 4.501795324E⁻⁶

So simplifying we get :

4.501795324E⁻⁶  =  1.11588350 × 10⁻²

Therefore the number written in scientific notation is 1.12 × 10⁻² .

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we have those angles must measure the same so

so x=39

(3) The question state that we should explain the relationship between angle ACB and A'C'B' in the given diagram.

From the the diagram in the question, we can see that wa have two different triangle which are ABC and A'B'C'.

The relationship between angle ACB and angle A'C'B' is that they are corresponding angles. because they are on the same side of the line.

Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a trasnsversal and on the same side of the transversal.

Therefore, the relationship between angle ACB and angle A'C'B' is that they are corresponding angles.

Answer:  The average rate of change is 1.

Step-by-step explanation:

The average rate of change f(x) on the interval [a,b] is (f(b)−f(a))/(b−a)

a=−2 , b=2, f(x)=4X^2+x+3.

(f(b)-f(a))/(b-a)= (3+(2)+4(2)^2-(3+(-2)+4(-2)^2)) / (2-(-2)) = 1

Answer:

2%/100% ×20=

Step-by-step explanation:

from this one of the zeros from the hundred would cancel the zero from 20 which will give you 2/10×2 and mind you percentage cancel percentage. from this 2 will cancel 10 leaving the answer 2 over 5

Answer:

-3

Step-by-step explanation:

the 'y- intercept ' is  ACTUALLY the 'y-axis intercept'.......this is where the graph crosses the y - axis    ....for this graph this is -3

The error interval for the combined mass (m) of the car and the person is 2047.7 ≤ m < 2049.7

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

The error interval for the mass of car is given by:

Mass of car = 1990 ± 0.5;

Mass of car = 1990 + 0.5 = 1990.5

Mass of car = 1990 - 0.5 = 1989.5

The error interval for the mass of a person is given by:

b = 1990 ± 0.5;

b = 58.7 + 0.5 = 59.2

b = 58.7 - 0.5 = 58.2

For the value of a and b, we have:

a = 1989.5 + 58.2 = 2047.7

b = 1990.5 + 59.2 = 2049.7

Next, we would calculate the combined mass (m):

m = 1990 + 58.7

m = 2048.7

Now, we can write the error interval for the combined mass (m) of the car and the person as follows:

a ≤ m < b

2047.7 ≤ m < 2049.7

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Lets assume that the input values are x values and the output values are y values.

Then you will have pairs of coordinate values as shown;

(-1,7) , (0,2) , (1,-3) , (2,-8), (3,-13), (4,-18)

Using the coordinates find the slope a;

(-1,7) and (0,2) ---------slope is change in y-values/ change in x-values , (2-7) /(0--1)

= -5/ 1 = -5

Do the same for the next pair of coordinates ,(0,2) and (1,-3) , (-3-2) / (1-0) = -5/1 = -5

If you continue the procedure to the next pair which is (1,-3) and (2,-8) to get the slope as : (-8- -3) / (2-1) = -5/1 = -5

This means that the slope is -5

The relation will be represented by the equation y= mx + c where m is the slope and c is the y-intercept

First plot the points to visualize the graph

From the plot, you notice that when the points are joined, a straight graph is formed sloping to the negative side and intersecting the y-axis at point (0,2).

So to determine the rule, we apply the equation y= mx + c with m= -5 and c =2

This gives y= -5 x + 2

The rule is f(x) = -5x +2 -----------answer

Step 1

Given;

Step 2

The confidence interval is given as follows;

The test statistic for a 95% confidence interval with α = 0.05, the degrees of freedom, df= n-1 = 381-1=380

Answer;

Answer:

He should use a 375% zoom to create a 30-inch wide poster.

Step-by-step explanation:

30/8 = 3.75, and 8*3.75=30. So 375%.

Mark as brainliest please.

Part A:

Since the population is showing a linear decline, we can express the function P(t) as

Given two points

(1995,24100), and (2005,14800)

Now that we have solved for the slope, we can now solve for the y-intercept. We will use the point (2005,14800), but using (1995,24100) will work just as well.

Convert the function x into a function of time t, then the the function is

Part 2:

What will be the population in 2007.

Substitute t = 2007.

Therefore, in the year 2007, the population will be 12940.

Answer: x=5

Step-by-step explanation: Based on the given conditions formulate:: 4+3[tex]x[/tex]x=19

Rearrange variables to the left side of the equation: 3x=19-4

Calculate the sum or difference: 3x=15

Divide both sides of the equation by the coefficient of the variable: x=[tex]15/3[/tex]

Cross out the common factor: x=5

Answer: Standard Deviation, σ: 0.23979157616564

Count, N: 8

Sum, Σx: 33.6

Mean, μ: 4.2

Variance, σ2:  0.0575

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(4.5 - 4.2)2 + ... + (4.1 - 4.2)2

8

=  

0.46

8

=  0.0575

σ =  √0.0575

=  0.23979157616564

Step-by-step explanation: but here

it isnt letting me do the fraction or the other things so yeah it will look wrong but its write for the entire graph

we have the following:

standard form

Therefore:

A = 0

B = 5

C = -8

Answer:7464

Step-by-step explanation:

90 is the score to get

let c represent correct and w represent wrong

if they get 134 points for it being correct, we can look at it like 134c

if they get -14 points for it being incorrect, we can look at it like -14w

now to put this in the right sense we fill in those letters with how many they got right and wrong : 134(58) -14(22)

This would get 7772 -308

after subtracting these two you'd get: 7464