PLEASE HELP!! THIS IS CONFUSING!! Given f (x) = 2/3x -1, complete Parts A and B. Part A: Using the table provided, create five points to demonstrate that for the function f (x) = 2/3x -1, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table. Part B: On a separate sheet of paper, use the points created in Part A to graph the function f (x) = 2/3x -1. Label the values on the x - and y-axes, and all points on the graph.

Answer:

yesssss

Step-by-step explanation:

yesss

Estimating the Error in a Taylor Polynomial is used to estimate the error in a Taylor polynomial for a function. It helps us find an interval in which the approximation differs from the actual function value. Here's how we can use Theorem 5.10 for the given problem:

We want to find the value of the series with an error less than 0.001, where n ≥ 2, and n(In n)³.Using Theorem 5.10, the error of the series can be written as: Rn(x) ≤ | f(n+1) (c) / (n+1)! | * |x - a|ⁿ⁺¹where Rn(x) represents the error term and c is any value between x and a.

Let's first find the value of the first few derivatives of the given function: n 1 2 3 4 f(n)(x) In x 1/x -1/x² 2/x³(-1)•3! / x⁴.

Simplifying the above expression, we get:f(n+1) (x) = 6 / x⁵, Taking c = 2, we get:Rn(x) ≤ | f(n+1) (c) / (n+1)! | * |x - a|ⁿ⁺¹≤ |6/(n+1)!| * |x-2|ⁿ⁺¹.

We need to find the value of n for which the above error term is less than 0.001.

That is,|6/(n+1)!| * |x-2|ⁿ⁺¹ < 0.001.

Substituting x = 2 and 0.001 for the above expression, we get:|6/(n+1)!| * (0.001)ⁿ⁺¹ < 0.001. This simplifies to:|6/(n+1)!| < 1.

Therefore, we need to find the value of n for which |6/(n+1)!| is less than 1.

We can do this by checking for different values of n. We get: When n = 2, |6/(n+1)!| = |6/6| = 1, When n = 3, |6/(n+1)!| = |6/24| = 0.25, When n = 4, |6/(n+1)!| = |6/120| = 0.05, When n = 5, |6/(n+1)!| = |6/720| < 0.01.

Hence, we need to add 5 terms of the series to n = 2 to find the value of the series with an error less than 0.001.

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The Law of Sines and the Law of Cosines are essential mathematical tools in trigonometry that play a significant role in solving triangles and analyzing their properties.

The Law of Sines and the Law of Cosines enable us to solve triangles when we have limited information about their angles and sides. They provide formulas that relate the lengths of the sides of a triangle to the measures of its angles, or vice versa.

The Law of Sines is particularly important when dealing with the ambiguous case of solving triangles. This occurs when we have information about an angle, its opposite side, and one other side.

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Answer:

(0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)

Step-by-step explanation:

Answer:

\( \sqrt{19} \)

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

=>

10² = 9² + b²

100 = 81 + b²

19 = b²

b = sqrt(19) (≈ 4.36)

Answer:

14 ft

Step-by-step explanation:

area = length * width

140 sq ft = 10 ft * width

width = (140 sq ft)/(10 ft)

width = 14 ft

Answer:

Yes

Step-by-step explanation:

An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.

Answer:

39 + 2x

Step-by-step explanation:

Answer:

False

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 3x - 3

y = -4x + 4

Step 2: Solve for x

Substitution

Here we see that our x-value would equal 1.

∴ (-3, 0) is NOT a solution to the systems.

Answer:

Do 01 to x/21 and then it will get 0–238

Step-by-step explanation:

5

Answer:

look at the pic below!

Step-by-step explanation:

Answer:

he will score 10 goals in 5 games

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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The equation for the function described, using the translations, is given as follows:

f(x) = 2^(x - 4) + 5.

There are four cases for the translation of a parent function, and they can be represented as follows:

In the context of this problem, the parent function is defined as follows:

f(x) = 2^x

The definitions for each translation are given as follows:

Hence the translated function is defined as follows:

f(x) = 2^(x - 4) + 5.

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Answer: 63.8

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

Based on the given information, we cannot definitively determine if the system is consistent or inconsistent.

If a 5×9 coefficient matrix has 5 pivot columns, it means that there are 5 leading variables in the associated system of linear equations. Each pivot column represents a leading variable, and the number of pivot columns indicates the number of leading variables. In this case, since there are 5 pivot columns, there are 5 leading variables.

To determine if the system is consistent, we need to consider the number of equations and variables. The number of equations is equal to the number of rows in the coefficient matrix (5), and the number of variables is equal to the number of columns in the coefficient matrix (9). In this scenario, there are more variables (9) than equations (5).

When the number of variables exceeds the number of equations, it is possible to have infinitely many solutions or no solution at all. In other words, the system can be inconsistent.

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Answer:

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

Answer:

\(x = 4\)

Step-by-step explanation:

1. Regroup terms.

\(4x - 1 = 3x + 3\)

2. Add 1 to both sides.

\(4x = 3x + 3 + 1\)

3. Simplify 3x + 3 + 1 to 3x + 4.

\(4x = 3x + 4\)

4. Subtrect 3x from both sides.

\(4x - 3x = 4\)

5. Simplify 4x - 3x to x.

\(x = 4\)

Therefor, the answer is, x = 4.

By the radius-tangent theorem, the radius is equal to 39/10 units.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;

r^2 + 8^2 = (r + 5)^2

r^2 + 64 = r^2 + 10r + 25

r^2 - r^2 = -10r + 64 - 25

10r = 39

r = 39/10 units.

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Answer:

h = 2\(\sqrt{3}\)

b = 3\(\sqrt{2}\)

Step-by-step explanation:

to find 'h' we can use the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : \(\sqrt{3}\) : 2

so we can set up this proportion:

h/2 = 1/\(\sqrt{3}\)

cross-multiply:

h = 2\(\sqrt{3}\)

to find 'b' we can use the ratio of sides in a 45-45-90° triangle which, respectively, is 1 : 1 : \(\sqrt{2}\)

we can set up this proportion:

3/b = 1/\(\sqrt{2}\)

cross-multiply:

b = 3\(\sqrt{2}\)

sinθ is equal to the division of the opposite side of the reference angle (θ) by the hypotenuse.

the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse

tan30 = h/2

\(tan30 = \frac{1}{ \sqrt{3} } \)

1/sqrt3 = h/2

\(h = \frac{2}{ \sqrt{3} } \)

sin45 = 3/b

\(sin45 = \frac{1}{ \sqrt{2} } \)

1/sqrt2 = 3/b

b/sqrt2 =3

\(b = 3 \sqrt{2} \)

Answer: 7 1/2 pounds

Step-by-step explanation:

Answer:

Y=5X because the slope is 5 and the Y-intercept is 0

Answer:

Its 8

Step-by-step explanation:

This is the highest peak

Therefore, the average height of the particle on the interval [-1, 5] is approximately 33.67 feet.

To find the average height of the particle on the interval [-1, 5], we need to evaluate the definite integral of the position function f(x) = 3x^2 + 6x over that interval and divide it by the length of the interval.

The average height (H_avg) is calculated as follows:

H_avg = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, a = -1 and b = 5, so the average height is:

H_avg = (1 / (5 - (-1))) * ∫[-1 to 5] (3x^2 + 6x) dx

To evaluate the integral, we can use the power rule of integration:

∫ x^n dx = (1 / (n + 1)) * x^(n+1) + C

Applying this rule to each term in the integrand, we get:

H_avg = (1 / 6) * [x^3 + 3x^2] evaluated from -1 to 5

Now, we can substitute the limits of integration into the expression:

H_avg = (1 / 6) * [(5^3 + 3(5^2)) - ((-1)^3 + 3((-1)^2))]

H_avg = (1 / 6) * [(125 + 75) - (-1 + 3)]

H_avg = (1 / 6) * [200 - (-2)]

H_avg = (1 / 6) * 202

H_avg = 33.67 feet

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Answer:

Alr Look search up desmos press desmos then press graphing calculator input the function and it shows the graph

Step-by-step explanation:

The graph of the given equation is attached.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

A graph is a structure consisting of a set of objects called vertices or nodes, and some pairs of them are connected by lines or curves called edges or links.

A graph can also be a curve or line that shows a mathematical function or equation, usually drawn in a coordinate system.

Given is an equation, h = -16t² + 80, we need to graph it,

So, as we see that the function is a quadratic function, then the graph will be parabolic also the equation has negative sign so the parabola will open downwards,

Finding the coordinates,

Put t = 0,

h = 80

(0, 80)

Put t = 1,

h = 64

(1, 64)

plot these points on the graph and join them, the curve we will get is the graph for the equation.

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Answer:

shape as that of the base of the solid

Step-by-step explanation:

A solid has a three dimensional shape. A three dimensional shape has both length, breadth and height. If the solid is being cut parallel to the base, a two dimensional shape (has length and width) is formed.

The shape of the two dimensional shape is the same as the shape of the base. Hence if solid is cut parallel to the bases, the shape formed would have the same shape as that of the solid base.