What is the first step to solving
the following equation?
3(3x 8) = 4x+6

Is it Combine Like Terms
Subtraction Property of Equality
Or
Distribution Property
Division Property of Equality

The approximate values for the definite integral of x⁶ over the interval [1, 2].

An integral is a mathematical tool used to calculate the total amount of some quantity that changes continuously over a given interval.

The Trapezoidal rule approximates the definite integral of a function by dividing the interval of integration into a number of smaller subintervals, and then using trapezoids to approximate the area under the curve.

The formula for T6 is:

T6 = (b-a) * (f(a) + f(b)) / 2,

where a and b are the limits of integration, and f(x) is the function being integrated.

However, instead of using trapezoids, the Midpoint rule uses rectangles to approximate the area under the curve.

The formula for M6 is:

M6 = (b-a) * f((a + b) / 2)

To calculate T6 and M6 for the integral (a=1)(b=2)x⁶dx, we need to use the formulas above and plug in the appropriate values for a, b, and f(x). The function f(x) is x⁶, so:

T6 = (2 - 1) x (1⁶ + 2⁶) / 2 = 1 x (1 + 64) / 2 = 32.5

M6 = (2 - 1) x (2⁶)¹/₂ = 1 x (64)¹/₂ = 8

So, T6 = 32.5 and M6 = 8.

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Answer:

x = 4, (-2/3)

Step-by-step explanation:

3(x^2) – 10x = 8

3(x^2) – 10x - 8 = 0

(3x + 2)(x - 4) = 0

(3x + 2) = 0

3x = -2

x = (-2/3)

(x - 4) = 0

x = 4

Answer:

x = -2/3, 4

Step-by-step explanation:

move all terms to one side

3x^2 - 10x - 8 = 0

split the terms in 3x^2-10x-8 into two terms

3x^2+2x-12x-8=0

factor out common terms in first to and last to

x(3+2)-4(3x+2) =0

factor out common term 3x+2

(3x+2) (x-4)=0

solve for x

x=-2/3,4

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Answer:

2g+7

Step-by-step explanation:

g represents gails age

2 times gails age

2g

7 more than is addition

2g+7

The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.

In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'

We need to state whether it is true or false.

We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.

Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.

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Answer: See attached

Step-by-step explanation:

   [] Since the inequality uses greater than (>) and not greater than or equal to (≥), the line will be dashed.

   [] The inequality is greater than (>) so we will shade above the line as values "above" are greater.

Answer:

here is what i got

Step-by-step explanation:

the Venn diagram illustrates the relationships a ⊂ b and b ⊂ c, indicating that set a is a subset of set b, and set b is a subset of set c.

In the Venn diagram, we can represent the sets a, b, and c using overlapping circles. Let's label the circles as A, B, and C, respectively. Since a is a subset of b, the circle representing a (A) will be completely contained within the circle representing b (B). This indicates that every element in a is also an element of b.

Similarly, since b is a subset of c, the circle representing b (B) will be completely contained within the circle representing c (C). This indicates that every element in b is also an element of c.

By overlapping the circles A, B, and C, we can visually represent the relationships a ⊂ b and b ⊂ c. The overlapping portion of circles A and B represents the elements that are common to both sets a and b. The overlapping portion of circles B and C represents the elements that are common to both sets b and c.

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The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Answer:

undefined or no solution

Step-by-step explanation:

it repeats the same x-value

Answer:3

Step-by-step explanation:

9-6

over

6-5

=3/1

simplify

m=3

according to question The correct answer is D.) given.

The proof given in the two-column format is already complete, and none of the answer choices provide a reasonable completion to the proof. The theorem has been proven by showing that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length, which was accomplished by calculating the coordinates and lengths of the segments and their slopes. Therefore, the correct answer is "given," indicating that the theorem has been proven as given.

what is coordinate?

In mathematics, coordinates are values that represent the position of a point in space or on a plane. They are used to specify locations and to describe the movement of objects. In two-dimensional Cartesian coordinate systems, coordinates are usually written as an ordered pair of numbers (x, y) that represent the distance from a fixed point called the origin. The x-coordinate represents the horizontal distance from the origin, while the y-coordinate represents the vertical distance from the origin. In three-dimensional coordinate systems, coordinates are usually written as an ordered triplet of numbers (x, y, z).

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Answer:

16.64

Step-by-step explanation:

SA=H*B*0.5*4

SA=3.16*2*0.5*4

SA=12.64

AND THE BASE SURFER IS 2*2=4

SO 12.64+4=16.64

Answer:

4

Step-by-step explanation:

Rate of change forumla

\(m = \frac{y2 - y1}{x2 - x1} \)

We have our X points, -7 and -2. Now to find the Y value at those places.

For -7, Y is 5

For -2, Y is 25

Now we plug this into the equation

\( = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4\)

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:    d

Step-by-step explanation:

Answer:

Answer:

a2-14=-5a is a=2, a=-7

Step-by-step explanation:

Add 5a to both sides a\(x^{2}\)-14+5a= -5a+5a

Simplify a\(x^{2}\)+5a-14=0

after we solve with the quadratic formula we get -7

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Based on the cost of the copy paper and the discount on ink cartridges, the cost of the ink cartridge is $15 each.

First find the amount paid for the ink cartridges:

= Total spent - cost of copy paper

= 175 - 45

= $130

He got a discount of $2 per cartridge. For 10 cartridges he got a discount of:

= 2 x 10

= $20

The cost of each ink cartridge is:

= (Amount spent on ink cartridges + Discount) / Number of cartridges

= (130 + 20) / 10

= $15 each

In conclusion, each cartridge cost $15.

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Answer:

Inequality form: x < -10   Interval Notation: (-∞,-10)

Step-by-step explanation:

Hope this helps!

Answer:

a+b<280

25a+30b less than or equal too 10000

Step-by-step explanation:

Answer:

Step - by - step explanation.

The estimated standard error for a sample of n = 9 scores with ss = 288 is 2. Among your choices, it should be B; s2 = 36 and sM  = 2.

Hope that helps!

Sally's conclusion that high school GPA is an excellent and useful predictor of performance ratings at work is not entirely supported by the correlation coefficient of 0.09 with a significance level of p<.01.

Although a significant correlation suggests a positive association between high school GPA and performance ratings, the strength of the relationship is weak. The practical significance of such a weak correlation may be limited in real-world scenarios where multiple factors can influence job performance.

It is also important to note that correlation does not imply causation.

Therefore, even if high school GPA is significantly correlated with performance ratings at work, it does not necessarily mean that high school GPA is a causative factor in better job performance. Other variables such as work experience, motivation, and personality may also contribute to predicting job performance, and their effects should also be taken into account when assessing the usefulness of high school GPA as a predictor.

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Answer:

Step-by-step explanation:

Distribute the 2

y + 7 = 2x + 10

Subtract 7 on both sides

y = 2x +3

Answer: y = 2x +3

Step-by-step explanation: hope this helped

The number of minutes that it will take to remove all at the same time is: 60 minutes

Given that:

- The scones bake for 15 minutes, the muffins bake  for 12 minutes, and the cookies bake for 10 minutes.

Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.

Based on the above information, the calculation is as follows:

Here we have to determine the L.C.M of each number:

12 = 2 * 2 * 3

15 = 3 * 5

20 = 2 * 2 * 5

Final LCM = 2 * 2 * 3 * 5 = 60

Therefore we can conclude that He will remove all trays at every 60 minutes interval.

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Answer:

1 teacher teaches Science.

Step-by-step explanation:

If 11 teach math and 3 teach math and science, the number of teachers that teach only science will be...

Total- (only math + math and science)

15 - (11 + 3)

15 - 14

= 1 teacher

I hope this helps. Please give brainliest, like and rate 5 stars.

Answer:

im just using people for points lol

Step-by-step explanation:

Explanation:-

To determine whether the given expressions are functions and analyze their properties, examine each case:

(a) Given f: Z → Z+, f(x) = |x - 2| + 1

This expression represents a function since each input value from the set of integers (Z) maps to a unique output value from the set of positive integers (Z+). To check if it is one-to-one,  to verify whether different inputs yield different outputs.

For f(x) = |x - 2| + 1, consider two different inputs: x₁ and x₂.

If f(x₁) = f(x₂), then x₁ = x₂.

Assume x₁ ≠ x₂:

If x₁ > 2 and x₂ > 2:

Then |x₁ - 2| = x₁ - 2 and |x₂ - 2| = x₂ - 2.

Since f(x₁) = |x₁ - 2| + 1 and f(x₂) = |x₂ - 2| + 1, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

If x₁ < 2 and x₂ < 2:

Then |x₁ - 2| = -(x₁ - 2) and |x₂ - 2| = -(x₂ - 2).

Since f(x₁) = |x₁ - 2| + 1 and f(x₂) = |x₂ - 2| + 1, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

If x₁ < 2 and x₂ > 2:

Then |x₁ - 2| = -(x₁ - 2) and |x₂ - 2| = x₂ - 2.

Since f(x₁) = |x₁ - 2| + 1 and f(x₂) = |x₂ - 2| + 1, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

If x₁ > 2 and x₂ < 2:

Then |x₁ - 2| = x₁ - 2 and |x₂ - 2| = -(x₂ - 2).

Since f(x₁) = |x₁ - 2| + 1 and f(x₂) = |x₂ - 2| + 1, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

In all cases, if x₁ ≠ x₂, f(x₁) ≠ f(x₂). Therefore, f(x) = |x - 2| + 1 is a one-to-one function.

To determine if it is onto (surjective), to check if every positive integer has a preimage.

consider a positive integer y ∈ Z+.

If y = 1, there is only one preimage: x = 2. (|2 - 2| + 1 = 1)

For any y > 1,  find at least two preimages: x = y - 1 and x = -y + 3.

For example, if y = 3, then x = 2 and x = -1 are both preimages. (|2 - 2| + 1 = 3 and |-1 - 2| + 1 = 3)

Since every positive integer has at least one preimage, f(x) = |x - 2| + 1 is onto.

In conclusion, f(x) = |x - 2| + 1 is a one-to-one and onto function, also known as a bijection.

(b) Given f: Z → Z+, f(x) = -3x + 2

This expression represents a function since each input value from the set of integers (Z) maps to a unique output value from the set of positive integers (Z+).

To determine if it is one-to-one, we need to verify whether different inputs yield different outputs.

Assume x₁ ≠ x₂:

If x₁ > x₂:

Then -3x₁ + 2 < -3x₂ + 2.

Since f(x₁) = -3x₁ + 2 and f(x₂) = -3x₂ + 2, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

If x₁ < x₂:

Then -3x₁ + 2 > -3x₂ + 2.

Since f(x₁) = -3x₁ + 2 and f(x₂) = -3x₂ + 2, if x₁ ≠ x₂, f(x₁) ≠ f(x₂).

In both cases, we observe that if x₁ ≠ x₂, f(x₁) ≠ f(x₂). Therefore, f(x) = -3x + 2 is a one-to-one function.

However, f(x) = -3x + 2 is not onto (surjective) because for any positive integer y, there is no integer x that satisfies -3x + 2 = y. The range of this function is limited to positive integers.

In conclusion, f(x) = -3x + 2 is a one-to-one function but not onto.

(c) Given f: R → R, f(x) = x^2 – 2x + 1

This expression represents a function since each input value from the set of real numbers (R) maps to a unique output value also from the set of real numbers (R).

To determine if it is one-to-one, to verify whether different inputs yield different outputs.

Assume x₁ ≠ x₂:

If f(x₁) = f(x₂), then x₁ = x₂.

For f(x) = x^2 – 2x + 1, consider two different inputs: x₁ and x₂.

If x₁ = 1 and x₂ = 3,  f(x₁) = f(x₂) = 1^2 – 2(1) + 1 = 3.

In this case, x₁ ≠ x₂, but f(x₁) = f(x₂), so f(x) = x^2 – 2x + 1 is not a one-to-one function.

Since it is not one-to-one, it cannot be a bijection or onto.

In conclusion, f(x) = x^2 – 2x + 1 is a function but not a one-to-one or onto function.

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Answer:the width =5x-2 hight=6x+1

Step-by-step explanation: