Please help find the x​

a) We can see that an increase in the number of employees (x) also leads to an increase in the number of products produced monthly, thus we can say that there is a positive correlation between the number of employees in the plant and the number of products produced monthly.

A positive correlation occurs when one variable increases with respect to another variable.

b) The function that best fits.

Let's first Find the rate of change(slope).

Take the points;

(x1, y1) ==> (0, 120)

(x2, y2) ==> (10, 200)

Use the slope formula:

We have:

Use the form:

y = mx + b

Where m is the slope and b is the y-intercept

We have:

y = 8x + b

Substitue 0 for x and 120 for y, to solve for b.

120 = 8(0) + b

120 = b

Thus, we have the function:

y = 8x + 120

f(x) = 8x + 120

c) The slope, m is = 8

The slope indicates that the avearge rate of change between both variables is 8.

The y-intercept can be said to be the point where the line of the plot crosses the y-axis. This means when the number of employees are is zero, the number of products will be 120.

It can also be called the constant value.

To detremine the ordered pairs that represent the system of inequalities given, from the choices given, the corredct ordered pairs are:

(x, y) ==> (-6, 3), (-4, 2), (-6, 6), (-4, 0)

7

400 ÷ 64 = 6.25

This doesnt mean its 7 because if u multiply

6 x 64 =384

Multiply 64 x 7 it gives you 448 which means she has enough to go on the trip

Given the system of equations:

-4x + y = 5

-2y = -8x + 4

To solve the system of equations by graphing, apply the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

Rewrite each equation to slope-intercept form

Equation 1:

-4x + y = 5

Add 4x to both sides:

-4x + 4x + y = 4x + 5

y = 4x + 5

Equation 2:

-2y = -8x + 4

Divide all terms by -2:

We have the equations in slope intercept form:

y = 4x + 5

y = 4x - 2

From the slope intercept form of both equatios, we can see both equations have the same slope.

Slope = 4

Since they have the same slope, they are parallel lines.

The solution will be the points of intersections, but parallel lines do not intersect.

Therefore, we can say the system has no solution.

We have the graph below:

From the graph above, both lines do not intersect. Therefore, there is no solution.

ANSWER:

No solution

8 hours

Explanation

Step 1

Let

distance = 239000 miles

speed = 500 miles per minute

time( hours) = t

Step 2

to find the time, use

replace

Hence, time = 478

Step 2

convert the minutes into hours

if 1 hour = 60 minutes

then, x=hurs for 478 minutes

Now, solve for x

Step 3

Round to the nearest hour

8 hours

Let's say that the two objects have 5 centimeters and 7 centimeters of diameter.

The circumference of a circle is defined as

Where d is the diameter. Using the measures above, we have

According to Descartes’ Rule of Signs, if we let

be a polynomial function with real coefficients:

then,

the number of positive real zeros is either equal to the number of sign changes of f(x) or is less than the number of sign changes by an even integer.

the number of negative real zeros is either equal to the number of sign changes of f(-x) or is less than the number of sign changes by an even integer.

In this case,

We will now check the number of sign changes of f(x)

There are 3 sign changes.

Therefore, f(x) has 3 or 1 positive real roots

Next we find f(-x),

We will now check the number of sign changes of f(-x)

There are 1 sign changes.

Therefore, f(x) has 1 negative real root

Number of possible positive roots: 1 or 3

Number of possible negative roots: 1 only

Answer: x = -1/2 and x = -3

Given the following quadratic function

The solution of the above quadratic function is x = -1/2 and x = -3

The fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example -  5/9. Here, (5) is called numerator and (9) is called denominator.

Given is Melinda who ate 3/5 of the cookies and left the rest for Suzanne.

Assume that the fraction of cookies left for Suzanne is represented by [x].

Fraction of cookies ate by Melinda = [y] = 3/5

The sum of the fractions representing the cookies eaten by both Suzanne and Melinda will be equal to 1. Mathematically -

x + y = 1

x + 3/5 = 1

x = 1 - 3/5

x = (5 - 3)/5

x = 2/5

Therefore, the fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.

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Answer:

Symmetric Property

Step-by-step explanation:

ok

7 < x + 13

7 - 13 < x

-6 < x

When the overdraft occurred, the balance was -48.31.

Major Takeaways. When your account balance drops below zero, you have an overdraft. If you have overdraft protection, your bank may permit a negative balance on your account or may provide one-time exceptions, but they may charge you for each transaction. Bank clients are required by federal regulations to choose to participate in overdraft protection schemes.

Let x represent the balance at the time the account entered overdraft.

He consistently made deposits totaling $30.84 a week in order to return to a positive balance.

Amount deposited per week = $30.84

Amount deposited 3 weeks =  30.84 × 3 = 92.52

Now amount in account after 3 weeks =x+ 92.52

We are given that After 3 weeks, he had $44.21 in the account.

So,x+92.52=44.21

x=44.21-92.52

x=-48.31

Hence The balance when the account went into overdraft was -48.31

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(10,5) and (250, 120)

1) Since we don't have the exact points, all we can do is a visual approximation of the line that best fits in.

2) So let's draw a line, like this on that graph also known as the eye-ball method. We are going to make it half, or almost half of it for each side.

3)Hence, examining the options we pick (10,5) and (250,120) as the best options that could represent the relationship between the number of miles ad the cost of that trip.

Since the line represents an average cost, and those points are approximately the same distance from the line.

According to the direct variation model, the value of the variable y is the mixed number [tex]3 \frac {1}{5}[/tex]. (Correct choice: C)

If a variable y varies directly with the variable x, then we can derive the following relationship to find the missing value:

y₁ / x₁ = y₂ / x₂

Where:

If we know that x₁ = 3 / 5, y₁ = [tex]2 \frac{2}{5}[/tex] and x₂ = 4 / 5, then the value of y₂ is:

y₁ = 2 + 2 / 5 = 12 / 5

y₂ = (y₁ / x₁) · x₂

y₂ = [(12 / 5) / (3 / 5)] · (4 / 5)

y₂ = (12 / 3) · (4 / 5)

y₂ = 4 · (4 / 5)

y₂ = 16 / 5

y₂ = 15 / 5 + 1 / 5

y₂ = 3 + 1 / 5

y₂ = [tex]3 \frac{1}{5}[/tex]

The value of the missing variable is the mixed number [tex]3 \frac{1}{5}[/tex].

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Given the graph in the attached image.

we want to find the y-intercept b.

The y intercept b is the point at which the line graph intercept the y axis.

For the given graph the line touches the y axis at;

So, the y-intercept is;

Answer:

Step-by-step explanation:

degree 6 -- triple root, double root, single root

leading coefficient is negative -- it opens downward

3 distinct roots

3 relative extrema

In this problem the total price (p) will be equal to the price per kilogram (p) times the number of kilograms of food (k) so the equation will be:

In order to calculate the volume of a cylinder, we can use the formula below:

If the base diameter is 6 in and the height is 8 in, we have:

Therefore the volume is 226.2 in³.

For the value of c = 0,c=1 then A is not invertible

For given matrix  A is invertible if  c≠ 0 and c≠ 1

[tex]Given \ $A=\left[\begin{array}{ll}1 & 1 \\ c & c^2\end{array}\right]$ \\A matrix $A$ is invertible if $|A|={det}(A) \neq 0$.\\Now consider $|A|={det}(A)=0$.[/tex]

[tex]$$\begin{aligned}&\Rightarrow\left|\begin{array}{ll}1 & 1 \\c & c^2\end{array}\right|=0 \\&\qquad \quad \text { If } A=\left[\begin{array}{ll}a & b \\c & d\end{array}\right] \text { then }|A|={det}(A)=a d-b c\end{aligned}$$[/tex][tex]$$\begin{aligned}&\Rightarrow c^2-c=0 \\&\Rightarrow c(c-1)=0 \\&\Rightarrow c=0, c=1\end{aligned}$If $c=0$ or $c=1$ then \A \is \\not \ invertible. \\$\therefore$ Given matrix $A$ is invertible iff $c \neq 0$ and $c \neq 1$. \\ie Given marix $A$ is invertible for $c \in \mathbb{R}-\{0,1\}$.[/tex]

Matrix, a collection of numbers arranged in rows and columns forming a rectangular array. The number is called the elements or entries of the matrix. Matrices have wide applications in engineering, physics, economics and statistics, as well as in various areas of mathematics. Matrices also have important applications in computer graphics, where they have been used to represent image rotations and other transformations.

Different types of matrices are

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"5x + 15y = -80" + "0.1x = -4.1 -0.3y" using the addition method given equation "5.1x + 15.3y = -12.1".

So, "5x + 15y = -80" + "0.1x = -4.1 -0.3y" using addition method:

The resulting equation is: 5.1x + 15.3y = -12.1

Therefore, "5x + 15y = -80" + "0.1x = -4.1 -0.3y" using the addition method given equation "5.1x + 15.3y = -12.1".

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Answer:

a. Translation

b. M'(-11, 0)

N'(-6, 2)

O'(-2, 3)

Explanation:

<-6, -2> indicates that the triangle MNO will be translated 6 units left and 2 units down, so <-6, -2> is a translation.

On the other hand, to know the new vertices, we need to apply the following rule:

(x, y) ----> (x - 6, y - 2)

So, the vertices of the image after the transformation are:

M(-5, 2) ----> (-5 - 6, 2 - 2) = M'(-11, 0)

N(0, 4) ----> (0 - 6, 4 - 2) = N'(-6, 2)

O(4, 5) ----> (4 -6, 5 - 2) = O'(-2, 3)

Therefore, the answers are:

a. Translation

b. M'(-11, 0)

N'(-6, 2)

O'(-2, 3)

14 ounces of peppers ---------- 7 ounces of onions

wee need satisfy always this equivalence

B. satisfy the equivalence

2 ounces of peppers ---------- 1 ounce of onions

D. satisfy the equivalence

1 ounce of peppers ---------- 0.5 ounces of onions

we always need to have the relations 2:1

the correct statements are B and D

Two lines are 2linese intersect to form linear pairs with equal measures one angle measures 2x other measure 11y+2. x is 45 and y is 8.

The sum of a linear pair of angles is 180 degrees.

Now, we are given two pieces of information. We will use these to develop equations and then solve the equations simultaneously.

First, we know that the two angles are equal, therefore:

2x = 11y+2-------.> equation 1

Second, we know that the two angles form a linear pair of angles, therefore:

2x +11y+2 = 180 -------.> equation 2

Substitute by equation 1 in equation 2:

2x +2x = 180

4x       = 180

        x =  45

Substitute with the value of x in equation 1 to get y as follows:

2x = 11y+2

2 (45) -2 = 11y

         88 = 11y

         y = 8

Therefore:

the first angle = 2x = 2(45) = 90 degrees

the second angle = 11(8)+2 = 90 degrees

The two angles are equal and their sum is 180 .

Line pairs of angles occur when two lines intersect at a single point. Angles are considered linear if they are adjacent after the intersection of these two lines. The sum of the angles of a linear pair is always 180°. Such angles are also called supplementary angles.

If there is a pair of adjacent angles, the pair is a linear pair if the sum of the two angles (their measures) is 180°. Thus, linear pairs of angles always add up to 180°.

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The numbers of the intersections of the two lines represent the solution for the problem

for this, the point is (5,3) since they are the corresponding ages of them

5^3 = 5x5x5 = 125

6^2 = 6x6 = 36

2^7 = 2x2x2x2x2x2x2 = 128

From least to greatest

36 - 125- 128

6^2- 5^3 - 2^7

Price = 72.87

The markup is 30% or 30/100 = 0.3

Let's find the markup of the price:

The retail price, or selling price, is the price + markup.

Thus, retail price is:

Answers:

1) ∠4 ≅∠1

Vertically opposite angle

2) ∠4 ≅∠5

Alternate angle

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

An acute angle is one that is smaller than 90 degrees. Right Angle: An angle with a 90 degree exactness. More than 90 degrees but less than 180 degrees is referred to as an obtuse angle. A straight angle is one that has a 180 degree angle. An angle that is more than 180 degrees but less than 360 degrees is called a reflex angle.

Given Data

∠1 ≅∠5

1) ∠4 ≅∠1

Vertically opposite angle

2) ∠4 ≅∠5

Alternate angle

3) p ║r

When a transversal cuts two lines so that the accompanying angles are congruent, the lines are said to be parallel. When a transversal cuts two lines so that their opposing interior angles coincide, the lines are said to be parallel.

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Answer: -37

Step-by-step explanation:

standard: -13 -[tex]\frac{37}{x-3}[/tex]

quotient: -13

Remainder: -37

Answer:

[tex]x^{2} + \frac{-5x^{2} + 2}{x - 3}[/tex]

Step-by-step explanation:

Attached on file below.