What’s the range of grades on the fifth exam that results in earning a B is _. If the highest grade is 100 then _ .

Solution:

Given the functions:

The graph of f(x) is as shown below:

The graph of g(x) is as shown below:

Description:

In the above graph, we observe that in the transformation, the f(x) plot is reflected across the x-axis and shifted downwards by 2 units to obtain the g(x) plot.

Explanations:

• Take note that the sides of a rectangle are parallel

• All 4 angles are 90 degrees, when they intercept they form a perpendicular line .

• The reflection, rotation and the transformation, will still maintain and preserve the properties of rectangle,

• opposite side are still going to be parallel and congruent,

90 degrees angles will still remain the same .

This shows that the properties of a rectangle are maintained

To find the scale factor, we have to divide two corresponding sides

Using the given information, we have

After performing some mathematical operations, the length of RA is 15 feet.

So, the length of RA is:

As both the pentagons are similar, then:

Similarly,

Therefore, after performing some mathematical operations, the length of RA is 15 feet.

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Answer:

The solution is x < - 11/4.

Step-by-step explanation:

In inequality notation, 7(x+4) less than 2(-5)+3(x+9) simply means:

7(x+4) < 2(-5)+3(x+9) ⇒7x + 28 < - 10 +3x +27

To collect like terms, subtract 3x and 28 from both sides of the inequality, thus:

7x - 3x < - 10 + 27 - 28 ⇒ 4x < -11 ⇒ x < -11/4 [by dividing both sides of the inequality by 4]

Therefore, the solution is x < - 11/4.

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Given:

The lengths of two sides of a triangle are 55 and 20.

Required:

To find the possible lengths of the third side.

Explanation:

So, if the third side is x cm, then

So, we got

Now

Hence the conclusion is the value of x lies between 35 and 75.

Therefore, the possible third sides are 45, 72 and 60.

Final Answer:

The possible third sides are 45, 72 and 60.

The domain of the relation is [1,6]. The domain can be written in the roster form method like {x I x ∈ {1,....,6}} The range of the function is  [1,2].

As we can see that the range of values in x-axis is from  [1,6]. Hence, it is the domain of the relation.

Also, he range of values in y-axis is from  [1,2]. Hence, it is the range of the relation.

Domain of a relation

The domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Range of a relation

The set of the second elements of all the ordered pairs of a relation is the range of a relation.

Set roster form

The elements (or members) of a set are listed in a row inside the curly brackets.

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The product of the polynomials (3x+2) and (-x^3-3) is:

(3x+2)*(-x^3-3) = (3x)*(-x^3) + (3x)*(-3) + 2*(-x^3) + 2*(-3) = -3x^4 - 2x^3 -9x - 6

Multiplying it by (3 + x), we got:

(3 + x)*(-3x^4 - 2x^3 -9x - 6) = 3*(-3x^4) + 3(-2x^3) + 3*(-9x) +3*(-6) + x*(-3x^4) + x*(-2x^3) + x*(-9x) + x*(-6) = -3x^5 -11x^4 -6x^3 -9x^2 - 33x - 18

Therefore, the coefficient of x^4 is -11.

We need to complete the perfect square. A perfect square has the following form:

In our case we have:

We can immediately deterine the value of "a", which is the root of number multiplying x², since this number is 1, then:

This also means we can find "b", because the second term is equal to the product of 2, a, and b. So we have:

With this we can determine the blank, because it is b². So we have:

The first missing space is 16 and the second is 4.

2(m + 1) + 5m​

step 1

Apply distributive property

2*(m)+2*(1)+5m

2m+2+5m

Combine like terms

The formula for the variance of the binomial distribution is o = √npq

Equating the value is the equation

o = √npq,

[tex]o = \sqrt{80\times1\times\0.4}[/tex]

o = 5.6568

The binomial distribution is defined as the number of trials or observations when each trial has the same probability of reaching a certain value. The binomial distribution determines the probability of observing a certain number of successful outcomes for a given number of trials.

The binomial distribution model allows us  to calculate the probability of observing a certain number of "successes" if a process is repeated a certain number of times (eg, in a patient population) and the result for a given patient is either successful. or failure.

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Answer: 7 months

Step-by-step explanation: by 7 months you would have paid both memberships $300

start by writing a relation

find x using the relationship

An expression for the combined total dollar Josh earned this month is X = 15t + 13(95 - t).

A mathematical expression is a statement using a combination of numbers, variables, and mathematical operands.

Mathematical expressions may also use the equal symbol (=) to show that the two expressions are equal.  Sometimes, the inequality signs are used when two expressions are not equivalent.

The pay rate per hour as a tutor = $15

The pay rate per hour as a waiter = $13

The combined total hours worked for the month = 95 hours

Let t = the number of hours worked as a tutor

Let X = Josh's total dollars earned for the month.

Josh's total earnings as a tutor for the month, A = 15t

Josh's total earnings as a waiter for the month, B = 13(95 - t)

The combined total dollar Josh earned this month, X = A + B

X = 15t+ 13(95 - t).

Thus, the total earnings by Josh for this month can be expressed as X = 15t+ 13(95 - t).

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The equation of the line that passes through the points (-2,4) and (-4,3) is y = (1/2)x + 5.

We know the slope intercept form of a line is given by:-

y = mx + c

Where,

m represents the slope of the line,

c represents the y-intercept, and

(x,y) represents the ordered pair of each point on the line

We know that,

m = (3-4)/(-4-(-2)) = -1/-2 = 1/2

We can write,

4 = (1/2)(-2) + c

4 = -1 + c

4 + 1 = c

c = 5

Hence, the equation of the line is :-

y = (1/2)x + 5

The graph of the equation is attached below.

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We can form an equation to solve this

What is an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definitions of the word equation and its cognates in various languages might vary slightly. For instance, in French, an equation is defined as having one or more variables, but in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. An equation can be compared to a scale on which objects are weighed. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance. Algebra focuses on two primary families of equations: the specific case of linear equations and polynomial equations.

We form an equation as 0.6x=330

The equation can be solved as

0.6x = 330

or, x = 330/0.6 = 550 grams

Hence Mr. Butcher used = 550 - 330 = 220grams of sugar

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The equation of the line in point-slope form passing through ( - 1, - 4 ) and slope 3 is y + 4 = 1( x + 1 ).

The set of points that make up a line in a coordinate system is represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

The point-slope form of an equation of the line is given as:

y - y₁ = m( x - x₁ ) where m is the slope and ( x₁, y₁ ) is the point on the line.

Now, the equation of line passes through ( - 1, - 4 ) and m = 1

Then,

y - y₁ = m( x - x₁ )

y - ( - 4 ) = 1( x -  ( - 1 ) )

y + 4 = x + 1

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The problem says Seth earns $25 a day and $3 for each ticket he sells.

Let's for each ticket he sells.

Let's

Answer:

5.

Step-by-step explanation:

1. the formula of the required distance:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} ;[/tex]

2. according to the formula above:

[tex]d=\sqrt{3^2+4^2}=5.[/tex]

when we rotate a point 180°, we have to change the sign in every coordinate. Therefore we get that the new point is (3,5)

If we plot the values of x representing the given interval on the number line, the least value would be - 12. It would be on the left and also non inclusive. The greatest value of x would be 8 on the right and inclusive. By writing it in set builder notation, it is expressed as shown in the attached photo

If triangle HJK has a centroid P then we know that the side HP will be the double of PM so we can made an equation for HM

Now we can replace the value of HM and solve for PM so:

40 people are seated. (Solved using the equation 4x + x = 50)

What is an equation?

An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance. Equations involving one or more functions and their derivatives are known as differential equations. By identifying a derivative-free formulation for the function, they may be resolved. Processes are modeled using differential equations.

The equation below is formed according to the question

4x + x = 50

or, 5x = 50

or, x = 50/5 = 10

Hence, no. of people seated = 4x10 = 40

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The value of the amount after the second year is $10163.817.

In order to compute compound interest, we multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. Then we are left with the principal amount of the loan plus compound interest.

Amount after Compound Interest [tex]A = P(1+\frac{r}{nt} )^{nt}[/tex] where A is the amount, P is the Principle value, r is the rate of interest, n is the number of times it is compounded daily, and t is the time.

Given Information :

For 1st year, Principal Amount (P) = $5000

Interest (r) = 1.5 %

Time = 1 year

The amount is calculated compounded daily,

So, Calculating the amount after 1 year,

[tex]A = P( 1+\frac{r}{nt}) ^{nt} \\A = 5000(1+\frac{1.5}{365*100}) ^{365*1} \\A = 5000(1+0.00004109)^{365} \\A = 5000*1.015\\A =5075.55[/tex]

For 2nd Year, Principal Amount= (P) $5000

Rate of Interest (r) = 1.75%

Time (t) = 1 year

The amount is calculated compounded daily,

So, Calculating the amount after 1 year,

[tex]A =P(1+\frac{r}{nt}) ^{nt\\}\\A= 5000(1+\frac{1.75}{365*100}) ^{365*1} \\ A = 5000(1.00004795)^{365} \\A =5000*1.077\\A =5088.26[/tex]

Now, the value of the amount after the second year = $5075.55 +$5088.26 =$10163.817.

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Explanation:

To determine the numbers, we need to find factors of -50:

We only have one of the numbers with negative because we are finding factor of a negative number.

Multiplication of opposite signs give negative number.

From the factors listed above, we find the two numbers sum up to give -50:

Answer:

Slope Intercept Form

y = mx + b

Where

m is slope

b is y- intercept (y axis cutting point)

Now,

Slope is change in y's over change in x's:

[6-1]/[2--3] = 5/5 = 1

So, we have:

y = 1x + b

y = x +b

We can just plug in a point (let it be (2,6) ) in x and y and solve for b:

y = x + b

6 = 2 + b

b = 6-2

b = 4

Final equation:

Combinations are a method of calculating the total outcomes of an event where the order of the outcomes is irrelevant. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.

They can select one  republican from the four  republican by 4 ways, and than select the remaining 4 members

from the 7 republicans by  [tex]C^{4} _{7}[/tex]= 7 x5 = 35 ways.

In all,  4 × 35= 140 selections are possible.

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Jake

There is no flat fee = $0

To buy a movie = 50 cents = $0.50

Joshua

Flat fee = $5

To buy a movie = 50 cents = $0.50

Jonathan

Flat fee = $8

To buy a movie = 20 cents = $0.20

Then, we have the following expressions:

Next, to pay the same amount of money from each website. This is:

Let y = number of movies

So, solve the system: