If f (x) = 2x – 6 and g(x) = -3x, find g(2) a
and f (1)

Answer:

3/ 16

Step-by-step explanation:

I hope this helps :)

Answer:

I think the y= (-7)

The length of the wall for the ladder reach will be 3.4 meter.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The foot of a ladder is 1.5 m from a vertical wall.

And, The ladder makes an angle of 68° with the horizontal.

Now,

By the figure,

The length of BC = 1.5 m

The measure of ∠ACB = 68°

So, Find the length of AC as;

cos 68° = 1.5 / AC

AC = 1.5 / 0.44

AC = 3.4 m

Therefore,

The length of the wall for the ladder reach will be 3.4 meter.

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The probability that the sample contains 2 female voters is 0.31104

Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.

Probability that a random voter is female is 0.40(p).

Sampled voters are 6(n).

Let X be the number of females in the sampled voters.

Then,

X∼ Bin (n, p)

∼Bin (6,0.4)

Probability that the sample contains exactly 2 female voters is,

P (X =2) = 6C2 (0.4)2 (1−0.4)6−2

=0.31104

Therefore, the probability that the sample contains exactly 2 female voters is 0.31104

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We have the following system of equations,

\(\left \{ {{y=x^2-1} \atop {y=5-x}} \right.\)

We are asked to solve the system of equations using substitution.

What is substitution?

Substitution is a method of solving a system of equations where you solve for one of the equations (pick either equation) for one of the variables (pick one of the variables), then using this new equation to "substitute" back in to the other.

Given this set of equations, \(\left \{ {{y=x^2-1} \atop {y=5-x}} \right.\), notice how both of the equations are already solved for the variable, \(y\). Since both these equations equal \(y\), we can set them equal to each other and solve for, \(x\).

\(\left \{ {{y=x^2-1} \atop {y=5-x}} \right.\)

\(\Longrightarrow 5-x=x^2-1\), substituted "\(5-x\)" for \(y\) into the top equation.

\(\Longrightarrow -x^2-x+6=0\)

\(-1[\Longrightarrow -x^2-x+6=0]\)

\(\Longrightarrow x^2+x-6=0\)

\(\Longrightarrow (x-2)(x+3)=0\)

\(\Longrightarrow x=2 \ and \ x=-3\)

Now take these values of x (\(x=2 \ and \ x=-3\)) and plug them into either of the two original equations to solve for \(y\).

When x=2:

\(y=5-x;x=2\)

\(\Longrightarrow y=5-(2)\)

\(\Longrightarrow y=3\)

When x=-3:

\(y=5-x;x=-3\)

\(\Longrightarrow y=5-(-3)\)

\(\Longrightarrow y=5+3\)

\(\Longrightarrow y=8\)

Thus, we get two solutions to the given system of equations, (-3,8) & (2,3).

Answer:

A

Step-by-step explanation:

The higher the negative number is the farther left it will be.

Answer:

only answering for the other person to get brainliest

Step-by-step explanation:

The perimeter is defined as the total length measurement of the curcumference of a polygon.

But generally we are given the measurements of sides of the polygon.

So the perimeter is found by summing up all these sides that act as a circumference or boundary of the polygon,

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.

Under the mentioned conditions a problem can be solved option A, B and D are there to be mentioned using central limit theorem.

According to the central limit theorem, a statistical theory, samples will be normally distributed and their means will be about equal to those of the entire population when the big sample size has a limited variance.

In other words, according to the central limit theorem, the distribution of the sample mean for sample size N has mean and standard deviation / n for any population with mean and standard deviation.

If the sample size is higher than or equal to 30, the central limit theorem states that the sampling distribution is roughly normal.

No of the sample size, the sampling distribution will be about normal if the primary population has a normal distribution.

Option-A) If the problem does not say it is normal, but the sample size is greater than or equal to 30

Option-B) If the problem says it is normal, and the sample size is less than 30

Option-D) If the  problem says the distribution is normal and the sample size is greater than or equal to 30.

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Answer:

Step-by-step explanation:

Lets begin with 5x.  The opposite sides of a rectangle are parallel, so 5x = 50 and x = 10

Then do the same for y.  3y = 27 so y = 9

2n + n = 90

3n = 90

n = 30

The corner = 90º

m = 90 - 10

m = 80º

Hopefully this helps.

Answer: the answer would be six sixtieths 6/60 or simplified one tenth 1/10

Step-by-step explanation:

take seven times two plus one, which is fifteen, and put it over two(15/2), then flip it so it is two over fifteen 2/15. then multiply two fifteenths times three fourths. two times three is six, so that would go on top, and fifteen times four is sixty, so that is the bottom. So, six over sixty 6/60. now, to simplify, both six and sixty are divisible by six, so six divided by six is one, and sixty divided by six is ten, so you would have one tenth 1/10. i have also included a image showing how i worked it out below.

Answer:

20 percent of what

Step-by-step explanation:

Answer:

A=4 ft

Midline: y=14

Step-by-step explanation:

When talking about sinusoidal waves, we know the amplitude will be the distance between the midline and the highest or lowest point of the graph. This can be found by first, finding the distance between the lowest point and the highest point:

d= 18ft - 10ft = 8ft

and divide this distance into 2:

\(A=\frac{8}{2}\)

A= 4 ft

in order to find the midline, we need to figure the midpoint between the highest and lowest value. We can do so by using the following formula:

\(Midpoint=\frac{high+low}{2}\)

so:

\(Midpoint=\frac{18+10}{2}\)

Midpoint = 14

so the midline is located at the line:

y=14

The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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The angle B in the triangle is 67.5 degrees.

The sum of angles in a triangle is 180 degrees. A triangle is a polygon that three sides.

Therefore, let's find the angle B in the triangle as follows:

Hence, let's find x

2x + 3x + 3x  = 180

8x = 180

divide both sides of the equation by 8

x = 180 / 8

x = 22.5

Therefore,

angle B = 3(22.5)

angle B = 67.5 degrees.

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The result of \(f(x) \times g(x)\) is \(x^3 + 13x^2+ 55x+ 75\)

Composite functions are functions that are gotten by combining multiple functions

The functions are given as:

\(f(x) = x^2 + 8x + 15\)

\(g(x) = x+5\)

To calculate f(x) * g(x), we have:

\(f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5]\)

Expand the above expression

\(f(x) \times g(x) = x^3 + 8x^2 + 15x + 5x^2 + 40x + 75\)

Collect like terms

\(f(x) \times g(x) = x^3 + 8x^2 + 5x^2+ 15x + 40x + 75\)

Evaluate the like terms

\(f(x) \times g(x) = x^3 + 13x^2+ 55x+ 75\)

Hence, the result of \(f(x) \times g(x)\) is \(x^3 + 13x^2+ 55x+ 75\)

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Answer:

here it is

Step-by-step explanation:

This trapezoid has been divided into two right triangles and a rectangle.

How can the area of the trapezoid be determined using the area of each shape?

Enter your answers in the boxes.

The area of the rectangle is in², the area of the triangle on the left is in², and the area of the triangle on the right is in².

The area of the trapezoid is the sum of these areas, which is in².

Trapezoid ABCD with parallel sides DC and AB. Points F and E are between D and C. FEBA form a rectangle with 4 right angles. D F is 2 inches, F E is 14 inches, E C is 2 inches, A B is 14 inches., and E B is 12 inches.

The expression of the inequality on the graph is;

y ≥ -x+6

y ≥ x - 4

From the graph, we can see that there are 2 lines. Therefore, this is a system of 2 simultaneous inequalities.

The formula for equation of a line in slope intercept form is;

y = mx + c

Let's start with coordinates for the line slanting rightwards.

At x = 0, y = 6

At x = 1, y = 5

Thus;

6 = 0(m) + c

c = 6

Also;

5 = 1(m) + 6

5 - 6 = m

m = -1

Thus, the equation is;

y = -x + 6

We can see the line is a broken line and the shaded portion is above the line. This represents;

y ≥ -x+6

For the second line;

At x = 5, y = 1

At x = 6, y = 2

Thus;

1 = 5m + c

2 = 6m + c

Subtract eq 1 from eq 2 to get;

m = 1

Thus;

1 = 5(1) + c

c = 1 - 5

c = -4

This represents;

y = x - 4

We can see the line is a broken line and the shaded portion is above the line. This represents;

y ≥ x - 4

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Answer:

Step-by-step explanation:

-12x + 3 = 51                Subtract 3 from both sides

-12x =51-3                    Combine

-12x = 48                      Divide by -12

x = 48/-12

x = - 4

Answer:

5050 and 100 pairs

Step-by-step explanation:

Expression: 2500 + m

Just substitute m with 300 and solve like that.

2500 + 300 = 2800

Answer:

2 and 4 hours

Step-by-step explanation:

Check with substitution in the inequality: 10 + 3h < 27

Answer:

From 3:23-3:24

Step-by-step explanation:

Answer:

The moon equals 7

and the stars equal 4

Step-by-step explanation:

Equation 1:

(substitute the symbols for the numbers)

7 + 1 = 4 + 4 (<< This is correct, both sides equal 8)

Equation 2:

(again, substitute the symbols)

7 = 3 + 4

That is correct.

Hope this helped! Please give Brainiest!

(Asher)

A subset of the population used by statisticians to make predictions about a population is called a sample. In statistical analysis, it is usually not practical or feasible to study an entire population, hence a representative sample is selected instead.

The sample is selected based on specific criteria that must be met, such as age, gender, income, location, or any other relevant factors that might affect the population being studied.
The sample must be a true representation of the population, which means it should be chosen randomly and without any bias. This is important because if the sample is not representative of the population, then any conclusions drawn from it may not be accurate or applicable to the population as a whole.
Once the sample is selected, statisticians use various methods to analyze and interpret the data collected from it. The results obtained are then used to make inferences and predictions about the entire population. These predictions can be used to inform policies, decisions, or actions that affect the population.
In conclusion, a sample is a subset of a population that is selected by statisticians to make predictions about the population. It must be representative, randomly selected, and without any bias to ensure accurate results.

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Answer:

amount = £1415.57  

Step-by-step explanation:

given data

computer buy = £1600

depreciates rate = 4% per year

time = 3 year

solution  

we get here amount that is express here as

amount = P × \((1-r)^{t}\)    ...................................1                                    

here r is rate and t is time put here value

amount will  be              

amount = 1600 × \((1-0.04)^{3}\)  

solve it we get

amount = £1415.57  

Answer:

42 km apart

Step-by-step explanation:

1 cm : 7km scale

6 cm apart on map means 6*7km.

6*7 = 42km apart.

The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²) = 0 are equal to zero if and only if a1 = a2 = a3 = 0. Therefore, the given set of functions is linearly independent.

(a) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1 sin x + a2(0) + a3 ln x

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(b) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(3) + a2(-sin²(x)) + a3(cos²(x))

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.(c) The given set of functions is linearly independent on the interval (-∞, ∞) if and only if the coefficients of the equation a1f1(x) + a2f2(x) + a3f3(x)

= 0 are equal to zero. The given set of functions is linearly independent since the coefficients of the equation a1(1 + x) + a2(2x) + a3(x²

= 0 are equal to zero if and only if a1

= a2

= a3

= 0. Therefore, the given set of functions is linearly independent.

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Answer:

Annyeonghaseyo! Whats the question ?

Step-by-step explanation: