EASY ALGEBRA! HELP PLEASEEE <3

Fill in the blank with a number to make the expression a perfect square.

v²-14v+__

(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!

The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.

The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.

The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.

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Answer:

A

Step-by-step explanation:

Answer:

Dependent clause

Step-by-step explanation:

Look at the sentence ----> "When you want the report."

Heres a trick that you can use whenever a sentence starts with before, if, since, that, until, what, when, where, who, which, and why etc.

This means that its a dependent clause.

Also another way of why it is a dependent clause is because it doesn't express a complete thought.

In this case you want to know what happens next (curiosity)

Hope this helps!

According to the given information, System A has no solution, System B has exactly one solution, and System C has infinitely many solutions.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

System A

To solve the system of equations:

y = 5x + 4

y = 7(4x + 1) - 23x

We can use the second equation to solve for y in terms of x and then substitute that expression for y in the first equation. This gives us:

7(4x + 1) - 23x = 5x + 4

28x + 7 - 23x = 5x + 4

5x + 7 = 5x + 4

7 = 4

We have reached a contradiction. This means that the system of equations has no solution.

Geometrically, this means that the two equations represent two lines in the coordinate plane that do not intersect, and therefore, there is no point that satisfies both equations simultaneously.

System B

To solve the system of equations:

y = 7x - 6

y = 3(x + 2) + x

Now we have a system of two equations in two variables:

y = 7x - 6

y = 4x + 6

We can solve for x by setting the right-hand sides of the two equations equal to each other:

7x - 6 = 4x + 6

3x = 12

x = 4

Now we can substitute x = 4 into either of the original equations to find y. Let's use the first equation:

y = 7x - 6

y = 7(4) - 6

y = 22 the solution to the system of equations is (x, y) = (4, 22).

System C

To solve the system of equations:

y = 14x + 6

y = 3(4x + 2) + 2x

We can simplify the second equation by distributing the 3:

y = 3(4x) + 3(2) + 2x

y = 14x + 6

Now we have a system of two equations in two variables:

y = 14x + 6

y = 14x + 6

We see that the two equations are identical, which means that any point on the line defined by one of the equations will also satisfy the other equation. Therefore, there are infinitely many solutions to this system of equations.

Therefore, According to the given information, System A has no solution, System B has exactly one solution, and System C has infinitely many solutions.

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Using it's concept, it is found that the probabilities are given by:

a) 0.26 = 26%.

b) 0.179 = 17.9%.

c) 0.615 = 61.5%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:

p = 13/50 = 0.26 = 26%.

Item b:

5 correct translations out of 28, hence:

p = 5/28 = 0.179 = 17.9%.

Item c:

There are 13 correct translations, and of those, 8 are from section 2, hence:

p = 8/13 = 0.615 = 61.5%.

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Answer:

25.4 L

Step-by-step explanation:

Charles's Law

\(\sf \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\quad \textsf{(when pressure is constant and temperature is in kelvin)}\)

where:

Given:

Convert Celsius to kelvin.

Kelvin = Celsius + 273.15

\(\implies \sf T_1= 25 + 273.15 = 298.15 \;K\)

\(\implies \sf T_2 = 30 + 273.15 = 303.15\; K\)

Substitute the given values into the formula:

\(\implies \sf \dfrac{25}{298.15}=\dfrac{V_2}{303.15}\)

\(\implies \sf V_2 =303.15 \cdot \dfrac{25}{298.15}\)

\(\implies \sf V_2 =\dfrac{7478.75}{298.15}\)

\(\implies \sf V_2 =25.41925205...L\)

Therefore, the volume of air in the tire if the temperature increases to 30.0 °C is 25.4 L (nearest tenth).

The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

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Answer: b - r/5 + 7

explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

b = r/5 + 7

Step-by-step explanation:

Distribute first: 5b - 35 = r

Add 35 to both sides: 5b = r + 35

Divide by 5: b = r/5 + 7

Factors multiply to get a product. You can take this process in reverse.

As another example, the number 12 factors into 3*4, where 3 and 4 are the two factors. This idea applies to both numbers and variable expressions as well.

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Hey there!

5(x + 2) = 40

5(x) + 5(2) = 40

5x + 10 = 40

5x + 10 - 10 = 40 - 10

5x = 30

5x/5 = 30/5

x = 6

Answer: x = 6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5(x+2)=40  Equation/Question

Step 2

5(x+2)=40  Remove parenthesis

5x+10=40

Step 3

5x+10=40  Subtract 10

5x=30

Step 4

5x=30  Divide sides by 5

Answer

x=6 ☑️

Hope this helps

Answer:

Explanation:

The slope of the line,

m

, is found by

m

=

y

2

−

y

1

x

2

−

x

1

So

m

=

−

2

−

0

3

−

(

−

1

)

=

−

2

4

=

−

1

2

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Similar triangles due to A - A - A

Set up ratios

QR is to RS   as  QP is to TS

(x+2) / (2x-5) = 3/5       Cross multiply to get

5x+10 = 6x-15               subtract 5x from both sides of the equation

10 = x - 15                     add 15 to both sides

25 = x

Answer: d. $264 hope this helps :)

Step-by-step explanation:12x22=264

If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

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The simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

The square root of any number is equal to a number, which when squared gives the original number. Let us say n is a positive integer, such that  \(\sqrt{n.n}=\sqrt{(n)}^2=n\)

Given that, the two numbers,

3 square root of 5= \(3\sqrt{5 }\)

2 square root of 2 = \(2\sqrt{2}\)

Sum of these two numbers = \(3\sqrt{5}+2\sqrt{2}\)

We cannot simplify this term further.

The simplest form by adding two numbers is \(3\sqrt{5}+2\sqrt{2}\)

As it is clear, it is a irrational number.

Because, \(\sqrt{2}\) and \(\sqrt{5}\) is a irrational number.

Hence, the simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

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For solving y, we can use this inequality:  y≤(168-7x)/4

An inequality is an equation which compares two non equal expressions using operators  ≤,≥,<,> .

Steps for solving inequalities:

For given inequality, 168≥ 7x + 4y

Adding -7x both sides,

168-7x ≥ 7x+4y-7x

168 - 7x ≥ 4y

Dividing both sides by a positive number 4,

(168-7x)/4 ≥ y

we can solve for y using above expression that y will be less than or equal to (168-7x)/4

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Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are \(n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3\), and the number of systems is:

\(N = 6 \times 4 \times 5 \times 3 = 360\)

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Answer:

1289155 golf balls

Explanation:

The total volume of all the balls equals to the storage unit space volume.

Let the number of total balls in the storage be b.

Conversion:

1 ft³ = 1728 in³

For the ball:

diameter = 1.6 in

radius = diameter/2 = 1.6/2 = 0.8 in

Equation created:

\(\sf \rightarrow volume \ of \ all \ balls = volume \ of \ storage\)

\(\sf \rightarrow b\left(\dfrac{4}{3} \pi r^3\right) = length \times width \times height\)

\(\sf \rightarrow b\left(\dfrac{4}{3} \pi (0.8)^3\right) =20 \times 10 \times 8 \times 1728\)

\(\sf \rightarrow b =\dfrac{20 \times 10 \times 8 \times 1728}{\left(\dfrac{4}{3} \pi (0.8)^3\right)}\)

\(\sf \rightarrow b =1289155\)

The function represents the frog population after x years is f(x) = 1200 × (0.97)ˣ which is correct option (C)

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Given as:

The average rate  decreasing = 3% per year

Determine the reduction rate.

So, net rate = (100 - 3) %

⇒ 97 %

The frog population at 1,200

Determine the frog population after 1 year.

f(1) = 97% of 1200

f(1) = (0.97) × 1200

f(1) = 1200 × (0.97)

Determine the frog population after 2 years.

f(2) = (0.97) ×  1200 × (0.97)

f(2) = 1200 × (0.97)²

Determine the frog population after 3 years.

f(3) = (0.97) ×  1200 × (0.97)²

f(3) = 1200 × (0.97)³

Determine the frog population after x year.

f(x) = 1200 × (0.97)ˣ

Hence, the function represents the frog population after x years is f(x) = 1200 × (0.97)ˣ

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Answer:

1. (246÷300)100

=82٪

2.(32÷96)100

= 33٪

3.(173÷480)100

= 36٪

The domain for the given function is {-1, 2, 33, 32}.

A function's or relation's domain is the set of all possible independent values that the relation can take. It is the sum of all possible inputs.

A function's or relation's range is the set of all possible dependent values that the relation can produce from the domain values. It is the sum of all possible outputs.

When dealing with sets of ordered pairs, we simply divide the pairs into x- and y-coordinates. The domain is formed by the x-coordinates, which are independent values. The y-coordinates are the dependent values, i.e. they define the range.The domain in the set of ordered pairs {(a,b); (c,d); (e,f); (g,h)} is the set of the first number in each pair (those are the x-coordinates): {a,c,e,g}. The range is the set of all the pairs with the second number (the y-coordinates): {b,d,f,h}.

Given,

The set of ordered pair =   {(-1,5) , (2,3), (33,6), (32,7)}

then,

the Domain = {-1, 2, 33, 32}

Range = {5, 3, 6, 7}

Thus, the domain for the given function is {-1, 2, 33, 32}

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Step-by-step explanation:

I believe its D Hopefully I'm right

The two expressions are equivalent.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

The two expressions are equivalent.

At x = 6

2x + 3    and     3 + 2x

2(6) + 3   and    3 + 2(6)

12 + 3     and     3 + 12

   15        and       15

Both are equal.

At x = 2

2x + 3    and     3 + 2x

2(2) + 3   and    3 + 2(2)

 4 + 3     and      3 + 4

    7        and        7

Both are equal.

Thus the two expressions are equivalent.

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Answer:

if both expressions have the same value after submitting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, 6 for each variable, x, in both expressions. The value on both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Step-by-step explanation:

Sample response. Wait, have you smiled today? its very important:)

Answer:

The result can be shown in multiple forms.

Exact Form: m = 49/2  

Decimal Form: m = 24.5

Mixed Number Form: m = 24 1/2 (twenty-four and a half as a fraction)

Step-by-step explanation:

1. Divide each term in 2 m = 49 by 2:

2m/2 = 49/2

2. Simplify the left side.

m = 49/2

The result can be shown in multiple forms.

Exact Form: m = 49/2  

Decimal Form: m = 24.5

Mixed Number Form: m = 24 1/2 (twenty-four and a half as a fraction)

The 49 increased by twice a number m is 49+2m

Given data :

49+2m

Increase means “go up” which is another way to say addition

Twice means “two times” or “doubled”

A number would be a variable since it’s unknown

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Answer:

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and \(f^{-1}(x)= \frac{ln\ x+4}{2}\)

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

\(f^{-1}(x)= \frac{ln\ x+4}{2}\)

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and \(f^{-1}(x)= \frac{ln\ x+4}{2}\)

Answer:

Put them in this order in the fill in the blanks, X,Y, 4, 2

Step-by-step explanation:

The peak in a normal curve appears directly above the mean, which is the average value of the data set. The normal curve, also known as the Gaussian distribution, is a symmetrical bell-shaped curve that represents the distribution of data in a population.

The mean is the point of highest probability in the distribution, and as such, the peak of the curve appears directly above it. The normal curve is commonly used in statistical analysis, as it allows for the calculation of probabilities and the identification of outliers within a data set. Understanding the location of the peak in relation to the mean is key to interpreting and utilizing the information provided by a normal curve.

The peak in a normal curve appears directly above the mean. In a normal distribution, the mean, median, and mode are all equal and are located at the center of the curve. This is the highest point on the curve, representing the most frequent value in the data set. The normal curve is symmetric, with the tails extending indefinitely in both directions. As you move away from the mean, the frequency of values decreases, following the bell-shaped curve pattern. In summary, the peak in a normal curve represents the central tendency of the data, appearing directly above the mean value.

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Answer :

\(1\)