f(x)=x^2-6x-7
g(x)=3x+7
find (f o g) (0)

The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

A map is a real-world example of a coordinate plane.

What is a coordinate plane?

A coordinate plane is a rectangular plane consisting of a horizontal and a vertical axis.

On a coordinate plane, the x-axis is the horizontal axis, and the y-axis is the vertical axis.

To graph the points that are not whole numbers, use the grid lines on the graph to estimate the position of the point.

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The presence of the coefficient "a" in ax^2 + bx + c requires that we look for numbers that have a product of ac

From the question, we have the following parameters that can be used in our computation:

ax^2 + bx +c and x^2 + bx +c

The presence of the coefficient "a" in the first expression makes a difference in the factoring process.

When factoring x^2 + bx + c, we are looking for two numbers that multiply to give c and add up to b.

For ax^2 + bx +c , we look for the product of ac and sum of b

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a : 10<x<=20

b: 20<x<=30

After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer:

x = 4

Step-by-step explanation:

First, we need to get the 3x by itself on the left. To do this, we subtract 5 from both sides. 3x + 5 - 5 = 17 - 5; 3x = 12. Now, to find x, we divide both sides by 3 to get 3x/3=12/3; x = 4

Answer:

Step-by-step explanation:

\( \mathsf{3x + 5 = 17}\)

Move constant to R.H.S and change it's sign

⇒\( \mathsf{3x = 17 - 5}\)

Subtract 5 from 17

⇒\( \mathsf{3x = 12}\)

Divide both sides of the equation by 3

⇒\( \mathsf{ \frac{3x}{3} = \frac{12}{3} }\)

Calculate

⇒\( \mathsf{x = 4}\)

Hope I helped!

Best regards!

The number of lights L that are on after t minutes of the stage shows is,

A. L = (1/2)t + 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, When the show starts, 10 lights are on which is a constant in out function.

Every 30 seconds or (1/2) a minute 1 more light comes on.

∴  The function best models the number of lights that are on after t minutes of the stage shows is,

L = (1/2)t + 10.

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To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

9

Step-by-step explanation:

Let the unknown number be x

Sum means add

7 + 3x = 34

Subtract 7 from each side

7+3x-7 = 34-7

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

i think its 14. if not sorry

Step-by-step explanation:

again sorry if im wrong sorry

Answer:

By flipping the second fraction (finding its reciprocal) we change the equation mathematically. In order to maintain the equation mathematically, we must turn the division question into a multiplication question.

Step-by-step explanation:

Answer:

c+2 increases linearly with c. That means that if c increases by 1, c+2 will increase by 1; if by 2, c+2 will increase by 2.

Step-by-step explanation:

The best type of graph for the data set below is a bar graph. So the correct option is A.

The pictorial representation of data which is generally grouped, in the form of vertical or horizontal rectangle-shaped bars is called a bar graph. In this type of graph, the length of bars is a representation of the measure of data. They are also called bar charts. In statistics, bar graphs are one of the ways of data handling.

Statistics is the collection, presentation, analysis, organization, and interpretation of data observations. There are various methods for the representation of this statistical data. These can be tables, bar graphs, pie charts, histograms, frequency polygons, etc.

There are three main characteristics of bar graphs. These are:

It helps in comparing the different sets of data among different groups.

The relationship using two axes is shown where the categories are on one axis and the values are on the other axis.

Major changes in data over time are shown.

Therefore the correct option is A.

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The complete question is:

Answer:

He paid 5,000 for the old home, which was the original price of it.

And he paid 15,000 for the new home.

Step-by-step explanation

Twice the selling price of his old one, the selling price was 7,000

7,000 * 2 = 14000.

14000 + 1000 = 15000.

15,000 is three times more than he originally paid for his old home.

n Purchased a new one for 1,000 more than twice the selling price.

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Answer: h2=a2-x2

Step-by-step explanation:

e2020

The equation that is solved for h² will be given as h² = (a² + c²)² / b².

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

From the graph, the equation is given as,

x = a² / h            ....1

b - x = c² / h     .....2

From equations 1 and 2, then we have

x + b - x = a² / h + c² / h

b = (a² + c²) / h

h = (a² + c²) / b

h² = (a² + c²)² / b²

The equation that is solved for h² will be given as h² = (a² + c²)² / b².

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Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer:=102.5

Step-by-step explanation:

Answer:

I'm not 100% sure but if I had to pick one I would go with B.

Step-by-step explanation:

Let me know if I'm correct if you decide to pick mine

The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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?=118°

Answer:

<6+62=180 co interior angle

<6=180-62=118°

Answer:

solution given:

<6+<62°=180°[co- interior angle]

<6=180°-62°=118°

<6=118° is your answer

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Answer:

children

Step-by-step explanation:

Answer:

The equation \(-4x^2+10x-8\) does not have any real zeroes.

Step-by-step explanation:

The given equation is \(-4x^2+10x-8\).

Let us compare it with standard quadratic equation \(ax^2+bx+c\)

a = -4

b = 10

c = -8  

The nature of zeroes is determined by Discriminant 'D'.

1. If D = 0, the quadratic equation has two equal real zeroes.

2. If D > 0, the quadratic equation has two unequal real zeroes.

3. If D < 0, the quadratic equation has two non-real or imaginary zeroes.

Formula for D is:

\(D=b^{2} -4ac\)

Putting the values of a, b and c to find D:

\(\Rightarrow 10^2 - 4(-4)(-8)\\\Rightarrow 10^2 - 4(4)(8)\\\Rightarrow 100 - 4(32)\\\Rightarrow 100 - 128\\\Rightarrow D = -28\)

Here, D is negative so the zeroes of this quadratic equation are imaginary.

Hence, no real zeroes for the given equation \(-4x^2+10x-8\).