Berti is the Shape Factory's top employee. She has received awards every month for having the top sales
figures so far for the year. If she stays on top, she will receive a $5000 bonus for excellence. She currently has
sold 16, 250 shapes and continues to sell 340 per month.
EMPL
Since there are eight months left in the sales year, Sarita is working hard to catch up. While she has only sold
8,830 shapes, she is working overtime and on weekends so that she can sell 1, 082 per month. Will Sarita
catch up with Berti before the end of the sales year? If so, when?

The image of the function after it is vertically stretched is f'(x) = 4|x + 3|

The function is given as

f(x) = |x + 3|

The transformation is given as

Vertical stretch by a factor of 4

This implies that we stretch the function f(x) by a factor of 4

This transformation is represented mathematically as

(x, y) = (x, 4y)

So, we have

f'(x) = 4 * f(x)

So, we have the following equation

f'(x) = 4 * (|x + 3|)

Remove the bracket

So, we have

f'(x) = 4 * |x + 3|

Evaluate the products

So, we have

f'(x) = 4|x + 3|

Hence, the equation of f'(x) is f'(x) = 4|x + 3|

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Answer:

Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted.  The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.

Step-by-step explanation:

The question is difficult to answer.  It doesn't specify that the $75 counts agains the $500.  It simply asks how many hours of work does she need to earn $500.

Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula:  x hours at :

  y = ($9/hr)*x

If we set y = $500:

  $500 = ($9/hr)*x

   x = $500/($9/hr)

x = 55.56 hours.

However, if we set y = $500 - $75, the Jessica only needs to work:

      $425 = ($9/hr)*x

      x = $425/($9/hr)

     x = 47.222 hours

His friend's house is 1.2 miles away from his house.

Well, the solution to this math problem is very simple. We just need to remove a number away from another. In other words, we only need to do some subtraction.

Subtraction is one of four main arithmetic operations in which we use to take away a number or an amount from another number or amount. Remember that the commutative law doesn't apply to subtraction, so we really need to be careful to pick what number is subtracted by the other number.

The distance from Greg's house to the store is 8.9 miles away. That's the number that is going to be subtracted. His friend's house is 7.7 miles away from the store. This is the number that we're going to subtract from the previous number. Mathematically, we can express this as:

8.9 - 7.7 = 1.2

We're left with 1.2, which is the distance in miles from Greg's house to his friend's house.

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Answer:

2 divided by 3 is 0.6 or 2/3

Step-by-step explanation:

Answer:

2/3 or 0.66666666667...

Answer:

f(1) = 15

f(-9) = -65

f(0) = 7

Step-by-step explanation:

f(1) = 8(1) + 7

f(1) = 8 + 7

f(1) = 15

f(-9) = 8(-9) + 7

f(-9)  = -72 + 7

f(-9) = -65

f(0) = 8(0) + 7

f(0) = 7

The greatest possible integer of the inequality is 19.902.

What is the inequality?

In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equal. But various inequalities are used to compare the values, as to if it is less than or greater than. The different inequality symbols, properties, and methods for resolving linear inequalities inside one variable and two variables will all be covered in this article along with examples.

Given that,

3.806< 19.902

In which, less than inequality is used.

The given numbers are in decimal form.

comparison be between the given numbers and check which one is greater.

3.806< 19.902

19.902 is the greater than 3.806

Hence, the greatest possible integer is 19.902.
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The correct option is option B that is "The graph of f(x) is shifted 17 units up". It is shifted 17 units up. By adding 17 to the equation, y increases by 17. If y increases by 17, the graph shifts up by 17.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.

The process of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the modification of algebraic equations, it is a typical kind of algebraic problem.

It is shifted 17 units up.

By adding 17 to the equation, y increases by 17.

If y increases by 17, the graph shifts up by 17.

Option B, "The graph of f(x) is shifted 17 units up," is the answer. It is moved upward 17 units. Adding 17 to the formula causes y to rise by 17. The graph moves up 17 units if y rises by 17.

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this is the answer to your equation hope it helps thanks

Answer:

D. [tex]\dfrac{27}{4}\\\\[/tex]

Step-by-step explanation:

[tex]\mathrm{With\;x=\dfrac{1}{8}\;and\;y = \dfrac{3}{16}\;we\;get}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right)-\left(\dfrac{3}{16}\cdot 8\right)\\\\[/tex]

[tex]\mathrm{Calculate\:within\:parentheses}\:\left(\dfrac{1}{8}+4\right) = \dfrac{1}{8}+\dfrac{32}{8}} = \dfrac{33}{8}\\\\[/tex]

[tex]2\left(\dfrac{1}{8}+4\right) = 2\cdot \dfrac{33}{8} = \dfrac{33}{4}[/tex]

[tex]y \cdot 8 = \dfrac{3}{16} \cdot 8} = \dfrac{3}{2}\\\\[/tex]

So

[tex]2(x + 4) - y\cdot 8 = \dfrac{33}{4} - \dfrac{3}{2}\\\\\\= \dfrac{33-6}{4}\\\\= \dfrac{27}{4}\\\\[/tex]

Answer: b+6 (less or equal to sign) -23

Step-by-step explanation: b increased by 6 is b+6

Answer:        b+6[tex]\leq[/tex]-23        b[tex]\leq[/tex]-29

Step-by-step explanation:

Graph C has a function

Since the line L intersects the graph at the point, A (2, -5)

To find the slope of the line we will differentiate the f(x) and substitute x by 2

The slope of the line is 8, substitute it in the form of the linear equation

To find b substitute x by 2 and y by -5

Subtract 16 from both sides to find b

Then the equation of the line is

Answer:

Step-by-step explanation:

[tex]5(2-x)-10=25-2(3x+40)\\\\10-5x-10=25-6x-80\\\\-5x=-6x-55\\\\-5x+6x=-55\\\\x= -55 [/tex]

Answer:

x = -55

Step-by-step explanation:

Hello!

We can solve for x by isolating the variable.

The value of x is -55.

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

Answer:

[tex]5 \times 107 = 535[/tex]

This is equivailent to the following

Answer:

2y-4x=6

Step-by-step explanation:

it can be correct i dk

We have the following expression

This can't be a vertex, since, in geometry, a vertex is a point where two or more elements meet.

A domain is not either, since, in mathematics, the domain of a function is the set of the existence of itself, that is, the values for which the function is defined.

The Standard Form of a Quadratic Equation looks something like this:

Where a, b, and c are known values and a cannot be 0.

In conclusion, the answer is that is a Quadratic

The probability of winning the game is 1/11.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the  probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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The distance between the two cyclists changing exists 38.4 meters per second.

A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

A differential equation in mathematics is an equation that includes one or more functions and their derivatives. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others.

There exists at least a couple of ways to work this. One exists to write the equation for the distance between the cyclists and differentiate it.

d² = (3900 + 32t)² + (5200 + 24t)²

simplifying the above equation, we get

(2d)d/dt = 2(3900 + 32t)(32) +2(5200 + 24t)(24)

At t = 0,

dd/dt = (32·3900 + 24·5200)/√(3900² + 5200²)

simplifying the above equation, we get

= (124800 + 124800)/√(15210000 + 27040000)

= 249600/6500 = 38.4 meters per second

Therefore, the distance between the two cyclists changing exists 38.4 meters per second.

The complete question is:

A road running north to south crosses a road going east to west at the point P. Cyclist A is riding north along the first road, and cyclist B is riding east along the second road. At a particular time, cyclist A is 39 hundred meters to the north of P and traveling at 32 meters per second, while cyclist B is 52 hundred meters to the east of P and traveling at 24 meters per second. How fast is the distance between the two cyclists changing?

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Answer:

5

Step-by-step explanation:

Applying the law of indeces for the fraction with radicals, the value of A=3, b=14 and c=-5

In mathematics, the term radical expressions such that contain a square root. In this question, we have fractions at both sides of the equation with radicals.

To solve this question, let's see some laws below that will help us:

[tex] \sqrt[x]{a} = {a}^{ \frac{1}{x} } [/tex]

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

[tex] \frac{1}{ {a}^{x} } = {a}^{ - x} [/tex]

From the given equation; the left hand side will be simplified as follows;

[3^(1/7)]÷[3^(1/2)]=[3^[(2-7)/14]=3^(-5/14)

And the right hand side will be simplified as follows;

1÷[A^(c/b)]=A^-(c/b)

Hence, by comparing both sides of the equation after simplifying the fractional radicals, the value of A is 3, b is 14 and c is -5.

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The relationship between the graph of f(h) and graph of g(h)

A graph is a pictorial representation of information

The difference in the two graphs is the part of the non refundable deposit which will affect the intercept.

In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%

The increment is solved below

solving the percentage increased

15% of $10 = 0.15 * 10 = $1.5

adding to the initial deposit

10 + 1.5 = 11.5

g(h) = 8h + 11.5

The graph of g(h) will have same slope as graph of f(h) which is 8

The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10

both graphs will form parallel lines

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Answer:

To create a perfect square of given expression,

On solving the above expression we get,

we have that,

To create a perfect square: add ( half the coefficient of the x- term )²

Coefficient of x term is 3

half the coefficient of the x- term is 1.5

( half the coefficient of the x- term )² is 2.25

Add 2.25 to the quadratic expression inside the bracket, we get,

In general, we adding 11.25 (that is, 2.25x5=11.25) to the given expression.

we get,

Multiply 5 to the above equation, we get

Based on the above calculation, we adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

2, 4, 5, 10 and 20 cast members were possible attendees at the celebration.

The acting teacher provided 20 biscuits and 40 carrot sticks as refreshments in light of this.

What are the factors?

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

2, 4, 5, 10, and 20 make up the factors of 20 and 40.

Additionally, the number of cast members must be greater than one and a divisor of 20 and 40.

Therefore, there could be 2, 4, 5, 10, or 20 cast members.

Therefore, 2, 4, 5, 10 and 20 cast members may have attended the celebration.

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Given data:

The given expression is -4/9 x=3/8

The given expression can be written as,

The product is less than both the factors.

Thus, option C) is correct.

Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.

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Answer:

6000

Explanation:

The expected profit from the investment can be calculated as the multiplication of each possible profit or loss by their respective probability.

Therefore, the expected profit is equal to:

E = 50,000(0.2) + 10,000(0.6) + (-50,000)(0.2)

E = 10,000 + 6,000 - 10,000

E = 6,000

Because there is a 20% of probability to win $50,000 (economy remain strong), there is a 60% of probability to win $10,000 (economy grows at a moderate pace), and there is a 20% of probability a loss of $50,000 (the economy goes into recession).

Therefore, the expected profit from this investment is:

6000

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

By the concept of linear equation :

$1,500 was spent on flights,

$680 was spent on hotels,

$7,300 was spent on other purchases.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y). For the purpose of resolving systems involving two linear equations, this form is also highly helpful.

Given:

Flights: 4 points per dollar

Hotels: 2 points per dollar

Other: 1 point per dollar.

Total spent = $9,480

Points earned = 14,660

Let

x = money spent on flights

y = money spent on hotels

z = money spent on other purchases.

Because the money spent on flights was $140 more than twice the money spent on hotels, therefore

x = 2y + 140          (1)

Total charges were $9,480, therefore

x + y + z = 9480    (2)

Total points earned was 14,660. Therefore

4x + 2y + z = 14660   (3)

Subtract (2) from (3).

4x + 2y + z - (x + y + z)

= 14660 - 9480

3x + y = 5180             (4)

Substitute (1) into (4).

3(2y + 140) + y = 5180

7y + 420 = 5180

7y = 4760

y = 680

From (1), obtain

x = 2y + 140

= 2(680) + 140

= 1500

From (2), obtain

z = 9480 - (x + y)

= 9480 - (1500 + 680)

= 7300

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