Solve theses equations by elimination y= 3/2x -10 and -2x -4y =-8

Abraham, this is the solution of the polynomials division:

5x^3 - 3x^2 + 2x - 1/ x+1

Step 1:

5x² + (-8x² + 2x - 1)/(x + 1)

Step 2:

5x² - 8x + (10x - 1)/(x + 1)

Step 3:

5x² -8x + 10 + (-11/x + 1)

The four numbers below the line are: 5 -8 10 - 11

Explanation

Step 1

the sp

The answer is 92400

To solve this, we can count how many letters we have. There are 11 letters.

If those 11 letters were different from each other, the answer would be 11!

But we have letters that repeats:

3 P's

3 Y'2

3 G'2

2 U's

Since we want to know the quantity of distinct arrangements, we can divide by the repetition. This means:

We divide by 3! times 3! times 3! times 2!, because we have 3P's, 3Y's, 3G's and 2U's

Then on the calculator write the division and give us the answer 92400

The Solution:

The Regression Model that best fits the data given in the question is

From the Desmos plotter analysis attached above, we have that

So, by substituting the values of the parameters, we get the required logistic Regression Model is given below:

b. The model predicts that the population of California in 2025 will be:

So, the population of California in 2025 will be 42.1 million people.

c. To find when the model predicts that the population of California will be 40 million,

we shall substitute 40 (in millions) for P in the model, and find t as below:

Cross multiplying, we get

Taking the ln of both sides, we get

So, 14 years from 2010 will be in the year 2024

d. According to the model, the carrying capacity for California's capacity is 74.9 million people.

In order to find the exponential regression we are going to select some values of the given data.

An special value is when x=0.

On the table we can see that when x=0 then y=9

Replacing x by 0 in the given choices, we have that:

Observing the results we have that the two choices with closer results to 9 are A (with 8.04) and C (with 6.61)

Now, we are going to select two additional values from the table in order to find which is the best answer: A or C.

Let's take x=1.

When x = 1, then y=10.

Replacing on the equation A we have:

and for the equation C:

For x=1, the nearest result is from the equation C.

Let's verify what happens when x=2.

When x=2 then y=16. Replacing on the equation A we have:

and for the equation C:

Again, for x=2, the nearest result is from the equation C.

Then, we can conclude that the best candidate is equation C.

We could try other values of x to double check:

Solution

For this case the general expression for a parabola is given by:

y- k= a(x-h)^2

From the info given we know that h = 1 and k= 2

And replacing we got:

y -2 = a(x-1)^2

And replacing the point given we got:

6-2 = a(3-1)^2

4= 4a

a=1

And the equation would be given by:

y-2 = (x-1)^2

Given:

To solve: The system of equations by substitution

Explanation:

Substituting equation (1) in equation (2), we get

Substitute the x value in equation (1), we get

Final answers: The solutions are,

Probability that they are both raspberry = 5/33

From the question, we have

probability that they are both raspberry = 5/12*4/11

=5/33

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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We need to find in which month we have that the total cost is the same, so we are going to do the equations of cost of the two companies

For the Tyson's Ethernet we have that the equation is

with m the month. And for the Darriana's DSL the equation is

We need to equalize the equations, so we have

Now to see the cost we replace in the two equations( wiith this we also verify), we have that

The answer is: after 10 months the total cost is the same, and this cost is $300.

Let 'n' represent the number of people. Sin the arcade charces 15 per person, then we have the following first term:

since the charge to reserve is $125, we have:

thus, if 'c' represents the total cost, then the expression to represent this situation is:

a. Solve for F(5).

To solve for F(5), substitute x = 5 to the given function, and evaluate accordingly to the operation

b. Solve for F(x+b)

Again we substitute the paremeters by x+b to the given function, and we get

c. Solve for F(-3)

Substitute x = -3

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Figures logos

Lines of symmetry = ?

Step 02:

We must analyze the logos to find the solution.

Volkswagen ===> 1 line of symmetry

Lincoln ===> 2 lines of symmetry

Lexus ===> 0 lines of symmetry

Red Cross ===> 4 lines of symmetry

That is the solution.

Answer:

VW: 1

Lincoln: 2

Lexus: 0

Red Cross: 2

Step-by-step explanation:

VW can be split in half once, and have the same thing son both sides.

Lincoln be split in half horizontally and vertically and be identical on both sides

Lexus cannot be split in half at all and be identical.

The red cross can be split horizontally and vertically and still have identical pieces.

-Hope this helped

Notice that the set of data is already ordered from lowest to highest, therefore the minimum value is 4 and the maximum value is 17.

The median is 8, the first quartile Q₁=5, and Q₃=14.

Then, the corresponding box and whiskers plot is:

a) The temperature at Milwaukee by 6am is given to be -5 degree fahrenheit.

By noon, this temperature has risen to 13 degree fahrenheit, thus this implies;

Hence, the temperature at Milwaukee by noon will be 8 degree fahrenheit

b) Temperature in Winnipeg = -17 degree fahrenheit

Temperature in Orlando = 61 degree fahrenheit

Temperature in Winnipeg is lower than in Orlando implies;

Hence, the temperature in Winnipeg is 78 degree fahrenheit lower than in Orlando

Given:

The perimeter of a rectangle is 32 meters and the length is 4 meters longer than the width

Let, x = the length of the rectangle

And, y = the width of the rectangle

So, we have the following system of equations:

We will use the method of substitution to solve the system

So, from equation 2:

substitute with (x) from equation (3) intp eqaution (1)

solve the equation to find (y):

Now, substitute with (y) into equation (3) to find (x):

So, the answer will be:

The length of the rectangle = 10 m

The width of the rectangle = 6 m

p = 400.00

r = 1% = 1/100 = 0.01

t = 3 years

Therefore,

After three years the amount will be = $412.12

The permutation formula is given as:

In this case n=27 and k=3; plugging the values in the formula we have:

Therefore, we have that P(27,3)=17550

We know that the proportion of the sides of a 30°-60°-90° triangle is:

The shorter leg is K, then:

Using this result, we can calculate the length of the longer leg:

The domain of the given piecewise function are all the values that x can take.

These are:

x < -4 and

It can be written as:

The range is:

The value of the function h(x) in part (a) is equal to h(x) = 2x.

The value of the function h(x) in part (b) is equal to h(x) = 5x/2 - 2.

In this exercise, you are required to calculate the value of the function h(x), which is a product of the addition of function f(x) and function g(x). This ultimately implies that, the value of function h(x) can be calculated by adding function f(x) and function g(x) together.

For the first part (a), the value of function h(x) would be calculated as follows:

Function h(x) = Function f(x) + Function g(x)

Substituting the given parameters into the formula, we have;

Function h(x) = (x + 4) + (x - 4)

Function h(x) = x + 4 + x - 4

Function h(x) = 2x

For the second part (b), the value of function h(x) would be calculated as follows:

Function h(x) = Function f(x) + Function g(x)

Substituting the given parameters into the formula, we have;

Function h(x) = (2x - 4) + (x/2 + 2)

Function h(x) = 2x - 4 + x/2 + 2

Function h(x) = 5x/2 - 2.

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Answer:

Lily drank 5 cartons of juice in February.

Explanation:

From the question, we're told that in January, Lily drank 2 1/2 cartons of juice and drank twice of that amount in February, so all we need to do is multiply the amount she drank in January by 2 to get the amount she drank in February.

Solving this, we'll have;

Therefore, Lily drank 5 cartons of juice in February.

Given:

The graph is g(x) is given and the function h(x) is,

To classify the asymptotes:

Since the translated transformation of 5 units left,

There are no changes in the horizontal asymptote.

But, the vertical asymptote is,

Thus, the graph h(x)=g(x+5) has the same horizontal asymptote as the function g

The prime factorization of 54 is

54 = 2 × 3 × 3 ×3

Using the exponential form of the prime factorization that is

54 = 2 × 3³

The answer is, Three times the sum of twice a number and one is equal to twelve less than the product of three and the same number.

Three times the sum of twice a number and one is equal to twelve less than the product of three and the same number.

It has a wide spread throughout the Mathematics. It is referred to as the integer part of a division, or as the fraction, or as a ratio. It is used when indicating the presence or the degree of a characteristic in something or by someone. Quotient is the result of a division. It is obtained when we divide one number by another. Quotient means how many times. And it is derived from the Latin.

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The first choice is the correct answer.

It represents a linear function because its points are on a straight line

Given

Santa is saving money for a new bike that costs $175.62. He already has $39.59.

Answer

Total money needed = 175.62 - 39.59 = $136.03

EXPLANATION:

We are given the following coordinates for a figure on the coordinate plane;

To reflect any figure or any set of coordinates across the x-axis, we shall apply the rule;

Note that the x-coordinate remains the same whereas, the y-coordinate changes its sign.

Imagine folding a graph page in two equal halves along the horizontal axis. You'll observe the y-coordinates will switch sides from top to bottom (positive to negative) or bottom to top (negative to positive). The x-coordinate remains the same since moving the folded page does not affect values along the horizontal line.

Therefore, for the vertices given, the reflection across the x-axis would be;

ANSWER:

The coordinates of the reflection across the x-axis therefore will be;

By definition, two angles are adjacent if they share one side and the vertex.

To determine if ∠3 and ∠4 are adjacent, you have to look at each image and determine if they share the vertex and one side:

1.

In this image ∠3 and ∠4 share, the vertex but they do not share one side, this indicates that these angles are not adjacent.

2.

In this image ∠3 and ∠4 share the vertex and one side (blue line), which indicates that they are adjacent angles.

3.

In this image ∠3 and ∠4 share one side (blue line) but each angle has its own vertex (green dots). You cannot conclude these angles are adjacent.

4.

Two angles are complementary of they add up to 90º, they don't necesarly have to be adjacent.

Any acute angle, meaning, any angle that measures less than 90º, has a complement.

For example, you have the following angles:

- If both ∠1 and ∠2 are acute angles and complementary, then we know that they add up to 90º:

-For example, ∠1= 46º, then you can determine the measure of ∠2 as follows:

Both ∠1=46º and ∠2=44º are acute and add up to 90º

-If one of the angles is a right angle, for example, ∠2=90º, then no matter what measure does ∠1 take, they will never add up to 90º.

We can say that right angles do not have a complement.

-If one of the measures of the angles is more than 90º (it is an obtuse angle), let's say, for example, ∠1= 124º, no matter what measure ∠2 has, if you add both angles, they will never add up to 90º.

So we can say that obtuse angles have no complements.

In conclusion, not all angles can have a complement, only acute angles have complements.

ANSWER

The solution is (5, 3)

EXPLANATION

To use elimination method, we have to subtract (or add) one equation from the other, in order to eliminate one of the variables. Then we'll have one equation with one variable. We solve it for that variable and then replace into one of the equations of the system to solve for the eliminated variable.

In these equations, we have +y in the first one and -y in the second one. We can add both equations to eliminate y:

Solving for x:

Now, we have to replace x = 5 into one of the equations and solve for y. Replacing in the first equation:

The solution to this system is (5, 3)

To find:

The derivative of function f(x) using the first principle.

Solution:

By the first principle, the derivative of the function f(x) is given by:

So, the derivative of the given function can be obtained as follows:

Thus, the derivative of the given function is: