Choose the value of x for f(x)= x^2-3x when f(x) = 10.

Answer:

a. $14.99k + $24+ $25 = x

b. $14.99(3) + $24+ $25 = x

   $44.97 + $24 + $25 = $93.97

Step-by-step explanation:

Answer:

i) C= $14.99 k + $24

ii) $93.97

Step-by-step explanation:

Let the number of models be represented by -----------k

Let the amount spent on books to be--------$24

The equation that represent amount spent in the mall is given as;

C= $14.99 k + $24   ---------------where ;

C= the equation for the total amount spent in the mall

k = the number of plane models

ii)

Using the equation : C= $14.99 k + $24    and if k = 3 and the amount spent on the store is $25  then ;

C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97

C+ 25 = $68.97 + 25 =$93.97

Answer:

y=63, x=20, x=47, b=70, c=89, x=133

Step-by-step explanation:

1) y=63- alternate angles are the same

2) 4x+5x=180

9x=180

x=20

3) x=47

4) b=70- angles on a line equal to 180

c=89- angles in a triangle add up to 180

5) x=133- angles that are alternate are the same

Answer:

To multiply two positive numbers, multiply their absolute values. The product is positive. To multiply two negative numbers, multiply their absolute values.

Step-by-step explanation:

Answer:

I think the answer is y=\(\frac{x-2}{3}\)

Step-by-step explanation:

Answer:

Both the answers will be B

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:

5x - 7 + 7 = 4x + 3 + 7

5x = 4x + 10

x = 10

2.  6 + 2x = 7x - 9

To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:

6 + 2x + 9 = 7x - 9 + 9

2x = -3

x = -3/2

3. 8x + 1 = -8 - x

To solve for x, we can add x to both sides of the equation and add 8 to both sides:

8x + 1 + x = -8 - x + x + 8

9x + 1 = 0

x = -1/9

4. -5 + 12x = 18x + 7

To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:

-5 + 12x - 12x = 18x + 7 - 12x

-5 = 6x + 7

x = -6

5.  -4x + 3 = 5x - 13 - x

To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:

-4x + 3 + x = 5x - 13 - x + x + 3

-3x = -10

x = 10/3

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3

That gives you the letters "joke"

Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

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Answer:

  -16

Step-by-step explanation:

You want the difference (5.42x10^-15)-(4.98x10^-15).

Consider the difference of the coefficients:

  0.44

Multiplying and dividing by 10 gives ...

  0.44 = 4.4/10 = 4.4 × 10^-1

When this is multiplied by the original numbers' factor 10^-15, we have ...

  0.44 × 10^-15

  = (4.4 × 10^-1) × 10^-15

Exponents are combined in the usual way:

  = 4.4 × 10^-16

The value of k in 4.4×10^k is -16.

__

Additional comments

The rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The power of 10 multiplier of the number tells you the place value of the digit immediately to the left of the decimal point. Place values to the right of that have a power of 10 that is 1 less for each digit position. Perhaps the second attachment can help you visualize this.

Answer:

-16

Step-by-step explanation:

Answer:

14 miles

Step-by-step explanation:

Isaac is walking 14 miles because if it is seven miles to the store, he has to walk seven miles back. Seven plus seven is fourteen.

none of these

Step-by-step explanation:

ans : 514 496+18 = 514

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Your final map should include two streets, a highway, and labels for each angle with their corresponding measures. The key should clearly explain each type of angle and their relationships.

Maps are also used to help people understand the relationship between different places and their relative size and position. Maps can provide information about the landforms of an area, such as mountains, rivers, valleys, and deserts.

To begin, draw two parallel lines on the map, and then add a transversal crossing them. Label the parallel lines as “streets” and the transversal as “Highway.” Then, label each pair of angles with the corresponding names listed above. For example, the angles that form when the two parallel lines are crossed by the transversal would be labeled as “Alternate Interior Angles.”

Next, measure the angles using a protractor or a ruler. For example, if two parallel lines are crossed by a transversal, measure the four resulting angles. Each angle should be measured and labeled with its degrees.

Finally, add a key to your map. This should include an explanation of each type of angle and their relationships with one another. For example, the key should explain that complementary angles add up to 90 degrees, supplementary angles add up to 180 degrees, etc.

Your final map should include two streets, a highway, and labels for each angle with their corresponding measures. The key should clearly explain each type of angle and their relationships. By completing this assignment, you will have a visual understanding of the different types of angles and lines we have learned in class.

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48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

b

Step-by-step explanation:

The distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function d(t) = 500t represents the number of miles traveled in t hours.

Plug t = 3.5 hours in the equation of the function.

d(3.5) = 500(3.5)

d(3.5) = 1,750.0 miles

Thus, the distance is 1,750.0 miles if a Boeing 737 airplane travels about 500 miles per hour option (D) is correct.

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True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.

True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.

A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).

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All of these numbers are Multiples of 2, 8, and 16, and they are between 67 and 113.

A number between 67 and 113 that is a multiple of 2, 8, and 16, we need to find the least common multiple (LCM) of these three numbers.

The prime factorization of each number is:

2 = 2

8 = 2 × 2 × 2

16 = 2 × 2 × 2 × 2

The LCM is the product of the highest power of each prime factor that appears in any of the three numbers. In this case, the LCM is:

LCM(2, 8, 16) = 2 × 2 × 2 × 2 = 16

Therefore, Lena must choose a number that is a multiple of 16 between 67 and 113. To find all the numbers that she could choose, we need to list all the multiples of 16 between 67 and 113.

The smallest multiple of 16 that is greater than or equal to 67 is:

4 × 16 = 64

The largest multiple of 16 that is less than or equal to 113 is:

7 × 16 = 112

Therefore, Lena could choose any of the following numbers:

64, 80, 96, 112

All of these numbers are multiples of 2, 8, and 16, and they are between 67 and 113.

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Answer:

There is no picture below?

Step-by-step explanation:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Option (d) is the correct choice.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

A parallelogram has the following qualities:

The opposing sides are equally spaced and parallel.

Angles on either side are equal.

The following or neighboring angles are supplemental.

All of the angles will be at right angles if any one of them is a right angle.

The two diagonals cut across one another.

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Stating that the area under the standard normal distribution curve between z=0 and z=1.00 is 0.3413, is the same as stating that the probability of randomly selecting a standard normally distributed variable z with a value between 0 and 1.00 is 0.3413.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

In science, the probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Therefore, the given statement is completed as:

Stating that the area under the standard normal distribution curve between z=0 and z=1.00 is 0.3413, is the same as stating that the probability of randomly selecting a standard normally distributed variable z with a value between 0 and 1.00 is 0.3413.

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Complete Question:

Which of the following statements is not true?

Choose the incorrect statement below.

Answer:

B. A system of linear equations in two variables must have at least one solution.

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.

Similarly, a linear equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

For example, y = 2x + 1 is a linear equation.

a. To find the value of y;

When x = 0

y = 2(0) + 1

y = 2 + 1

y = 3

b. To find the value of x;

When y = 0

0 = 2x + 1

2x = -1

x = -½

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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Answer:

64.8 in

Step-by-step explanation:

The pipe is 324 in and you cut in in two. Since we know that one piece is five times the length of the other, we can make the equation  324=5x. Divide both sides by five gets us 64.8 = x.

To check our work, let's multiply 64.8 by 5. It does equal 324 so we are correct.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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Answer:

2x^2-4/3x^4+3x^3+4x-4

Step-by-step explanation:

Answer:

y8x122

Step-by-step explanation:

Simplify this expression.

Answer:

I think the answer would be 10%.