Solve the equation -128 = 4x for x

The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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Answer:

-4

Step-by-step explanation:

I use this equation to solve it^^

The required linear equation that represents the table is y = -x + 4.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The values of x are 0, 1, 2, 3,

And values of y are 4, 3, 2, 1.

The linear equation that represents the values, can be written as,

y = -x + 4

When the values of x are substitute in the above equation, the values of y are,

At x = 0, the value of y = 4

At x = 1, the value of y = 3

At x = 2, the value of y = 3

And at x = 3 the value of y = 1

Hence, the required linear equation is y = -x + 4.

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The {-4, 0, 1} represents members of the domain of the graphed function.

What is the domain of the function?

A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.

A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.

The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.

The range refers to the outputs which are actually used.

We have,

collection of the ordered pairs represents a function:

{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)

a) Domain of the function is:

{ -2, -3, 0, 1/2, 1, 4, 100}.

b) Range of the function is:

{ 0, 9/5, 10, 19, 77,  100}.

Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77,  100}.

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The greatest number of containers is 2⁴ = 16 containers.

Since Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. To find the number of containers, we need to find the highest common factor (H.C.F) of both numbers.

So, writing both numbers in prime factorization, we have

For the 80 colored pencils,

80 = 2 × 2 × 2 × 2 × 5

= 2⁴ × 5

Also, the prime factorization for the 64 markers, we have

64 = 2 × 2 × 2 × 2 × 2 × 2

= 2⁶

So, the highest common factor is 2⁴

So, the greatest number of containers is 2⁴ = 16 containers.

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The domain is R(-∞,∞) and the range is R(-∞,∞) for this graph.

What do you mean by the domain and range of the graph?

Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values, or range.

According to the given question,

We have a given graph in the question.

Now, we can see that line on the graph is covering both sides of the x-axis and y-axis on the graph,

Domain of the graph is  R(-∞,∞).

Range of the graph is  R(-∞,∞).

Therefore, the domain is R(-∞,∞) and the range is R(-∞,∞) for this graph.

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According to the given information the domain of this graph is (− ∞, + ∞)  and the range of this graph 2.

Graphs may be used as another tool for determining the domain as well as range of functions. The domain of something like a graph is made up of each of the input values displayed on the x-axis since the term "domain" refers towards the set of potential input values. The y-axis of a graph represents the potential output values, or range.

In order to identify the numbers of something like the autonomous variable x and acquire the domain, we simply solve the formula y = f(x). Simply put, x=g(y) will determine the function's range once we identify g's domain (y).

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The standard deviation of the sample of monthly salaries is 2.74

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

>Standard deviation gauges a dataset's dispersion from its mean.

>It is determined as the variance's square root.

Mean  = [tex]\frac{(8+6+12+11+13)}{5} = 10[/tex]

Variance = [tex]\frac{((8-10)^{2}+(6-10)^{2}+(11-10)^{2}+(13-10)^{2} )}{(5-1)} = 6[/tex]

Standard deviation = [tex]\sqrt{7.5} = 2.7386[/tex]

when rounded off to two decimals 2.7386≈2.74.

The standard deviation of the sample of monthly salaries is 2.74

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Answer:

Below

Step-by-step explanation:

h = height = 0 when it hits the ground

sooooo...

  0 = -16t^2 + 20t + 1200   <==== you equation ommited the t' s  and 20t

           Use Quadratic Formula   a = -16    b = 20   c = 1200

                           to find t = 9.3 s

Answer:

B and D

Step-by-step explanation:

While D is a given factor for any number, 3 is the only number that 9 and 12 can be evenly divided by.

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

answer in image blow

Step-by-step explanation:

Answer:

appt

Step-by-step explanation:

The length, b, which is the longest side of the triangle, can be found to be 13.172 cm.

To find the area of 22.4 cm², the formula used was:
Area = 1/2 x a x b x Sin(C)

Using this formula, we can find the value of side a to be :
22.4 = 1/2 x 3.7 x a x Sin(97°)

a = 12. 199 cm

We can then use the Cosine rule to find the value of b, which is the longest side:

b² = a² + c² - 2 x a x c x Cos(B)

b = √ ( a² + c² - 2 x a x c x Cos(B))

b = 13. 172 cm

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Answer:

y is equal to or greater than 1x

Step-by-step explanation:

Answer:

equal 3/8 or 0.375 siuuuuu

Answer: y = -x + 5

(0, 5), (1, 4), (2, 3), (3 2) ...

Answer:

14

Step-by-step explanation:

[tex]\frac{90n+90n}{n+1}=168 \\ \\ 180n=168n+168 \\ \\ 12n=168 \\ \\ n=14[/tex]

Answer:

Step-by-step explanation:

Let the sum of the original list of n numbers be S. The average of the list is given by:

average = S/n

Since the average is 90, we can write:

90 = S/n

Multiplying both sides by n, we get:

90n = S

After the number 90n is added to the list, the average of the list becomes 168. The sum of the list is now S + 90n. The number of elements in the list is now n+1. The average of the list is given by:

average = (S + 90n) / (n+1)

Since the average is 168, we can write:

168 = (S + 90n) / (n+1)

Multiplying both sides by n+1, we get:

168(n+1) = S + 90n

Substituting for S using the equation S = 90n, we get:

168(n+1) = 90n + 90n

Simplifying, we get:

168n + 168 = 180n

Subtracting 168n from both sides, we get:

168 = 12n

Dividing both sides by 12, we get:

14 = n

Therefore, n = 14.

The length of the hypotenuse of the right triangle is 4.1in

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

In trigonometry, if θ is the angle opposite the 4 in line, then sinθ= opp/hyp

cosθ=adj/hyp

tanθ= opp/adj

to find the hypotenuse

sin80= 4/hyp

hyp= 4/sin80

hyp = 4/0.985

therefore the hypotenuse = 4.1 in

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Answer:

y=2x-2

Step-by-step explanation:

formula for the equation of a line is y=mx+b

formula for slope is (y2 - y1)/(x2-x1)

which makes the slope 2 (m=2)

then calculate for b which is -2

finally the formula is y = 2x - 2

Assume "in the event that p, q" is the given contingent assertion "in the event that ∼q, ∼p" is its contrapositive assertion. Consider the situation in which the conditional statement "if p, then q" serves as its converse statement.

Reversing the two statements that make up a categorical or implicational statement yields its opposite in logic and mathematics. The opposite of the implication P Q is Q P.

The converse statement (q p) and inverse statement (p q) of a conditional statement p q are equivalent to one another. The statement p q and its counter positive counterpart, q p, are equivalent.

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The total maximum electrical work the battery could perform during discharge is 11 kj.

When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is actually a function. Simply drawing a vertical line will reveal whether the graph is a function if it touches it once. The graph is not a function if the vertical line is higher. A function is defined technically as a relationship between a set of possible outputs and a set of inputs, where each input is associated to exactly one outcome.

Given

Work is dependent on power.

Power is function on voltage.

Voltage is linear, according to the query, so:

V(t) = at + V

a = Slope

a = 0.70 - 1.45/3600s

P(t) = V*I = V(t) *I (I= 2850 mA)

Then,

W= ∫03600 P(t) dt

=  ∫03600 ( at +1.45 )*I dt

= I × ∫03600 ( at +1.45 )dt

W= 2.850( a*36002 /2  + 1.45*3600)

W = 11

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2000/3

Hope it helps

Mark Brainlist

The translated vertices from the given vertices are:

A(3, -4) → A'(-2, -6)

B(-4, -2) → B'(-9, -4)

C(1, 1) → C'(-4, -1)

The translation rule for the coordinates of a graph is given by

(x, y) → (x + a, y + b)

Here the coordinates (x, y) are translated by (a, b) units.

The given vertices of a ΔABC are:

A(3, -4), B(-4, -2), and C(1, 1)

If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b)  is (-5, -2).

Thus,

A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)

B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)

C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)

Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).

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Answer:

136 in^2

Step-by-step explanation:

The rectangle withOUT the missing part is 20 X 8 = 160 in^2

  now subtract the 4-12 traingle

           160   -   1/2 (4 X 12) = 136 in^2

Answer:

area of triangle = 1/2bh

= 1/2(4)(20-8)

= 1/2(4)(12)

= 24 in²

area of rectangle = lw

= 20(8)

= 160 in²

answer

= area of rectangle - area of triangle

= 160 - 24

= 136 in²

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the equations that are quadratic in form.

A polynomial equation is "quadratic in form" if the powers of the variables are integer multiples of {0, 1, 2}, or some subset of these that includes 2. That is, it will be "quadratic" if some substitution z = f(x) is possible such that the resulting equation in z is a polynomial equation of degree 2.

Term are degrees 0, 2, 4, so this is "quadratic in form". The substitution z=x^2 will give a quadratic in z.

Term degrees are 1 and 4, so this is not quadratic.

The substitution z = (x+5)^2 is suggested by the 4th-power term, but the remaining terms cannot be written as a linear function of z. This is not quadratic.

This is a straight quadratic equation. One could substitute z=2x+4, but that is not necessary. This is "quadratic in form."

Term degrees are 0, 2, 4, so this is "quadratic in form."

Term degrees are 1, 2, 4, so this is not quadratic.

Answer: The wording may be confusing, but the problem is simple.

All they are asking you to do is to plot those x-y value pairs as data points on a graph. Doing that is very basic to science. In science, you put your data on a chart and look at how it shapes up to draw conclusions.

So your first point has x=325.0 and y=1.10,

your second point has x=348.9 and y=1.40, and so on.

If using pencil and paper, your best bet is to use graphing paper, or at least grid paper. Then your first step would be setting up the scale on the axes. You need to fit points with y values between 0.25 and 1.40, so you may want to set the scale on the y-axis so it covers the range from 0 to 1.6 at least (maybe even 0 to 2). Your x values are between 230.0 and 348.9, so you could set up your x-axis so that it includes 0 to 360 (or 0 to 400). Alternatively, you may not include x values all the way down to zero and set your x scale from 200 to 360 only,

The conclusion that you would draw from your plot is that the power seems to vary linearly with speed. The data points are almost in a straight line. They are not perfectly aligned, of course. There is always some variability in accurate data, but you can see a trend. You could draw a line that seems to fit the points best and use it to predict that the power at 250 rpm would be 0.44 hp for example.

Step-by-step explanation:

The ratio of the length of the piece of wire to the length of the rope to the length of the piece of string is 6:5:1.5

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Let the length of the rope = x

Length of a piece of wire = (5/6)x

Length of a piece of string = (1/4)x

Length of the piece of string = 4.5cm

This can be written as,

4.5cm = (1/4)x

45/10 x 4 = x

x = 9 x 2

x = 18 cm

Now,

Length of the rope = 18 cm

Length of a piece of wire = 5/6 x 18 = 15 cm

Now,

Length of the rope : Length of a piece of wire : Length of a piece of string

18:15:4.5

We can simplify the ratio as,

Taking out the common factor 3.

6:5:1.5

Thus,

The required ratio is 6:5:1.5

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The Maid of the Mist is a boat tour at the bottom of Niagara Falls. the fare that will maximize the revenue of the Maid of the Mist boat tours is $30.

Generally, To maximize the revenue of the Maid of the Mist boat tours, we need to find the fare that results in the highest total revenue.

The total revenue is equal to the price of the ticket multiplied by the number of tickets sold. We are given that the boat tour currently charges a fare of $20/each and that for each $1 increase in fare, 20 fewer people will take the trip.

Let's call the number of tickets sold at a given fare "x". We can express the total revenue as a function of the fare as follows:

Total revenue = Fare * x

We are also given that for each $1 increase in fare, the number of tickets sold decreases by 20. We can express this relationship as follows:

x = 500 - (Fare - 20) * 20

Substituting this expression for x into our equation for total revenue, we get:

Total revenue = Fare * (500 - (Fare - 20) * 20)

To find the fare that maximizes the total revenue, we can take the derivative of this function with respect to Fare and set it equal to zero:

d(Total revenue)/d(Fare) = 0 = 1 - (Fare - 20) * 40

Solving for Fare, we find that the fare that maximizes the total revenue is $30.

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The best description of a simple random sample of size n from the population of size N is that any method of sampling in which every individual is equally likely to be selected. The correct answer is option C.

Simple random sampling is a kind of probability sampling in which the researcher randomly chooses a subset of participants from a population. Every member of the population has an equal chance of being chosen. Then, the data is collected from as large a percentage as possible of this random subset.

A simple random sample is identical to a random sample. The difference is that in a simple random sample, each member in the population has an equal chance of being selected. With random sampling, each member does not automatically have an equal chance of being selected.

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a. The response variable in this study is the draft.

The response variable is the variable that is being measured or predicted in a study. It is also known as the dependent variable. The treatments are the standard hitch and the new hitch. The experimental units are the 25 randomly selected points in each plot.

b. Yes, randomization was used properly in this study.

By randomly assigning one plot to use the standard hitch and the other plot to use the new hitch, the researcher is ensuring that any difference in draft observed between the two plots is not due to any other factors besides the hitch.

c. No, replication was not used properly in this study. Replication involves taking multiple measurements of the same treatment to ensure that any observed differences between treatments are not due to random variation.

By only taking 25 measurements of each treatment, it is impossible to determine whether any observed differences are due to the treatment or just random variation.

d. Plot of land is a confounding variable in this experiment.

This is because the two plots may differ in soil type, terrain, and moisture, which can all affect the draft. This means that any observed difference in draft between the two plots may be due to the hitch, but it may also be due to the difference in environment between the two plots.

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