3a + 5b = 3
a + 2b = 13

Answer: 2/ Points

Step-by-step explanation:

The points can't make up the answer to the equation, so it can't be 3!

I don't think it is the solution, because on a table points are just points of an equation!

Answer: The answer would be x = -3 + 0.5y.

Step-by-step explanation: pls give me brainliest. may help w/ my depression.

Comparing the slopes of both lines, the correct statement is: 3. Yes, the lines are perpendicular because the product of their slopes equals −1.

The formula to find the slope is:

Given that, EF has endpoints (3, 7) and (13, 17)

RT has end points (4, 9) and (8, 5).

Slope of line EF:

m = change in y / change in x = (17 - 7) / (13 - 3)

m = 10/10

Slope (m) of EF = 1

Slope of line EF:

m = change in y / change in x = (5 - 9) / (8 - 4)

m = -4/4

Slope (m) of EF = -1

-1 is the reciprocal of 1. Therefore, the correct answer is: 3. Yes, the lines are perpendicular because the product of their slopes equals −1.

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The false statement is (D) One of the constraints is XX.

All the other statements are true based on the given scenario:

The resource constraint for the finishing department in hours is: 2X - 3X ≤ 42. This constraint ensures that the total labor hours used in the finishing department for both types of chairs (swivel and no-swivel) does not exceed 42 hours. Here, X represents the number of swivel chairs produced.

The resource constraint for the fabrication department in hours is: 7X + 8Y ≤ 180. This constraint ensures that the total labor hours used in the fabrication department for both types of chairs does not exceed 180 hours. Here, X represents the number of swivel chairs produced, and Y represents the number of no-swivel chairs produced.

The total number of constraints in this model is 5, including the resource constraints for the finishing department and the fabrication department, as well as the additional constraints mentioned in the scenario (e.g., selling at least twice as many no-swivel models as swivel models).

The objective function is to maximize Z = 100X + 130Y, where Z represents the net profit. This objective function represents the goal of maximizing the net profit based on the production of swivel and no-swivel chairs.

Therefore, the false statement is One of the constraints is XX.\

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The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

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In the expression given as -5 - (-7) = -5 + x, the value of x is 7.

In Mathematics, expression simply means the mathematical statements which have at least two terms which are then related by an operator. It should be noted that they illustrate the relationship between the data given.

In this situation, it should be noted that the expression is given as:

-5 - (-7) = -5 + x

Collect like terms

-5 + 7 = -5 + x

x = -5 + 5 + 7

x = 7

The value of x is 7.

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Answer:

x=5.5

Step-by-step explanation:

Perimeter of ABCD=85

The perimeter is everything around the outside added together.

Form an equation:

3x+4+4x+6x-11+5x-7=85

Collect the like terms:

Like terms are terms that have the same powers and coefficient.

3x+4x+6x+5x=18x

4-11-7= -14

Put it back into an equation:

18x-14=85

Do inverse operations to find out what x is:

85+14=99

18x=99

99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)

x=5.5

Hope this helps :)

Answer:

Step-by-step explanation:

To evaluate such, the following must be comprehended:

Slope: Rise/Run.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:

m = (y2 - y1) / (x2 - x1)

Points utilized or given: (-1, 2) and (7, 2).

2 - 2 / 7 + 1 = 0/8 ==> 0

Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).

Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:

Point-Slope Formula:

Y- y1 = m(x - x1)

Y - 2 = 0(x - 7)

Y - 2 = 0

Y = 2

Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).

*I hope this helps.

Answer:

\(-\frac{4}{9}\)

\(-\frac{8}{27}\)

Step-by-step explanation:

Answer:

-4/9 and -8/27

Step-by-step explanation:

im not the best at this though, so yeah

The correct answer is, [–5, 3]. In the other words, the interval in which the function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing is [–5, 3].

To determine the interval in which the radical function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing, we need to find the interval(s) where the derivative of the function is positive.

Let's first find the derivative of f(x):

\(f'(x) = (1/2) * (x^2 + 2x - 15)^(-1/2) * (2x + 2)\)

To find where f'(x) > 0, we set f'(x) = 0 and solve for x:

\((1/2) * (x^2 + 2x - 15)^(-1/2) * (2x + 2) = 0\)

Since the derivative is never equal to zero (since the denominator (x^2 + 2x - 15)^(-1/2) is never equal to zero), there are no critical points.

To determine the intervals of increase, we can evaluate f'(x) at test points in each interval. We'll consider the intervals defined by the given answer choices:

[3, ∞):

Choose a test point x > 3, let's say x = 4.

Evaluate \(f'(4) = (1/2) * (4^2 + 24 - 15)^{(-1/2)} * (24 + 2)\)

\(= (1/2) * (16 + 8 - 15)^{(-1/2)} * 10\)

\(= (1/2) * (9)^{(-1/2)} * 10\)

= (1/2) * (1/3) * 10

= 5/3

Since f'(4) > 0, the function is increasing in the interval [3, ∞).

(4, ∞):

Choose a test point x > 4, let's say x = 5.

Evaluate f'(5) = (1/2) * (5^2 + 25 - 15)^(-1/2) * (25 + 2)

= (1/2) * (25 + 10 - 15)^(-1/2) * 12

= (1/2) * (20)^(-1/2) * 12

Since f'(5) = 0, the function is not increasing in the interval (4, ∞).

[–5, 3]:

Choose a test point x in the interval, let's say x = 0.

Evaluate \(f'(0) = (1/2) * (0^2 + 20 - 15)^{(-1/2)} * (20 + 2)\)

\(= (1/2) * (-15)^{-1/2} * 2\)

\(= (1/2) * (1/\sqrt{15}) * 2\)

\(= 1/\sqrt{15}\)

Since f'(0) > 0, the function is increasing in the interval [–5, 3].

(–∞, –5] ∪ [3, ∞):

Since we have already determined the function is increasing in [–5, 3] and [3, ∞), this interval is valid.

Therefore, the correct answer is, [–5, 3]. In the other words, the interval in which the function \(f(x) = \sqrt{x^2 + 2x - 15}\) is increasing is [–5, 3].

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Answer:

6(3r + 2s)

Step-by-step explanation:

Find the gcf of 18 and 12, then divide both and put it inside the parentheses.

Using the Laplace transform lookup table, we can find that the Laplace transform of u(t-a) is e^-as/s. Therefore, the Laplace transform of u(t-2) is: f(s) = e^-2s/s

To calculate the Laplace transform f(s) of a function f(t), we can use the Laplace transform lookup tables and the known properties of the Laplace transform.

Here are the Laplace transform lookup tables for some common functions:

Function f(t)          |   Laplace Transform f(s)
------------------------------------------------------
1                           |   1/s
t^n                       |   n!/s^(n+1)
e^-at                     |   1/(s+a)
sin(at)                  |   a/(s^2+a^2)
cos(at)                  |   s/(s^2+a^2)
u(t-a)                  |   e^-as/s

Now let's use these lookup tables and the properties of the Laplace transform to calculate the Laplace transform f(s) of some sample functions:

Example 1: f(t) = 3t^2

Using the Laplace transform lookup table, we can find that the Laplace transform of t^n is n!/s^(n+1). Therefore, the Laplace transform of 3t^2 is:

f(s) = 3/s^3

Example 2: f(t) = e^-4t

Using the Laplace transform lookup table, we can find that the Laplace transform of e^-at is 1/(s+a). Therefore, the Laplace transform of e^-4t is:

f(s) = 1/(s+4)

Example 3: f(t) = 2sin(3t)

Using the Laplace transform lookup table, we can find that the Laplace transform of sin(at) is a/(s^2+a^2). Therefore, the Laplace transform of 2sin(3t) is:

f(s) = 6/(s^2+9)

Example 4: f(t) = u(t-2)

Using the Laplace transform lookup table, we can find that the Laplace transform of u(t-a) is e^-as/s. Therefore, the Laplace transform of u(t-2) is:

f(s) = e^-2s/s

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Answer:

John would jog 1 more mile than any

Step-by-step explanation:

If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour

Answer:

Whether a team had zero, one, or two Liberos for the first

sets of the match, they may designate new Liberos for the

deciding set.​

sheet at the start of the match. If zero or one Libero is designated on the line-up sheet, the coach may select a different Libero for subsequent sets, but may not have two Liberos. If two Liberos are designated on the line-up sheet for Set 1, those are the only two Liberos who may play for that team for the match. b.

Step-by-step explanation:

No. Whether a team designates one or two Liberos for the start of the match, the player(s) designated as Libero prior to the match will be the only players who may participate as a Libero in the match, except in the cases where re- designation is permitted

(a) 0.65542 proportion of pupils receive a score below 33.

b) the score that falls within the 80% range is 35.64.

Given that,

English test results have a mean of 30.6 and a standard deviation of 6, and they are normally distributed.
We have to find

(a) What proportion of pupils receive a score below 33.

b) Determine the score that falls within the 80% range.

We know that,

X: Scores of an english test

X≈N(30.6 , 6²)

(a) P(X<33)= P(Z<33-30.6/6)

=P(Z<0.4)

=1-P(Z>0.4)

=1-0.34458

=0.65542

(b) P(X<x)=0.80

P(Z<x-30.6/6)=0.80

1-P(Z>x-30.6/6)=1-0.80

P(Z>x-30.6/6)=0.20

x-30.6/6=0.20

x= 35.64

Therefore,

(a) 0.65542 proportion of pupils receive a score below 33.

b) the score that falls within the 80% range is 35.64.

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Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Answer:

4 1/2

Step-by-step explanation:

4 full sections of 2 and one section that is just 1

also 3 divided by 2/3 is also 9/3 divided by 2/3 and 2 goes into 4.5 times

Answer:

y=-9/10x+8/5

Step-by-step explanation:

(-6,7) and (4,-2)

Use rise over run to solve for the slope:

(y1-y2)/(x1-x2)

(7- -2)/(-6-4)

(7+2)/(-6-4)

9/-10

-9/10 Move negative sign to make it easier to read

Now you have y=-9/10x+b

Plug in the values from either of the two points to solve for b:

(4,-2)

-2=-9/10 (4)+b

-2=-36/10+b

-2= -18/5 +b

-2+18/5=b

-10/5 +18/5=b

8/5=b

y=-9/10x+8/5

\(82 - 6(7 - 4) + 2 \\ 82 - 6(3) + 2 \\ 82 - 18 + 2 \\ 64 + 2 \\ 66\)

The value of the expression when it is simplified is 66.

The first step to remember the BODMAS rule. BODMAS stands for bracket, of, division, multiplication, addition and subtraction. It gives the order in which mathematical operations should be solved.

The expression that is equivalent to (3m)(4m)² is (a) 48m³

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

(3m)(4m)²

When this expression is expanded, we have

(3m)(4m)² = (3m)(4m) * (4m)

Evaluate the products of the factors

This gives

(3m)(4m)² = 48(m)(m) * (m)

Evaluate the products of the variables

This gives

(3m)(4m)² = 48m³

Hence, the expression that is equivalent to (3m)(4m)² is (a) 48m³

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The answers are

(a) \(\(f(0)\)\) is undefined.

(b) \(\(f(1) = 2\)\)

(c) \(\(4(-1) = -4\)\)

(d) \(\(f(-x) = -\frac{{x^2 + 1}}{{x}}\)\)

(e) \(\(-f(x) = -\frac{{x^2 + 1}}{{x}}\)\)

(f)\(\(f(x+5) = \frac{{x^2 + 10x + 26}}{{x+5}}\)\)

(g) \(\(f(4x) = \frac{{1}}{{4x}}(16x^2 + 1)\)\)

(h) \(\(f(x+h) = \frac{{x^2 + 2hx + h^2 + 1}}{{x+h}}\)\)

Let's evaluate each of the given expressions for the function \(f(x) = \frac{{x^2 + 1}}{{x}}\):

(a) \(f(0)\):

Substitute \(x = 0\) into the function:

\(f(0) = \frac{{0^2 + 1}}{{0}} = \frac{1}{0}\)

The value is undefined since division by zero is not allowed.

(b) \(f(1)\):

Substitute \(x = 1\) into the function:

\(f(1) = \frac{{1^2 + 1}}{{1}} = \frac{2}{1} = 2\)

(c) \(4(-1)\):

Multiply 4 by -1:

\(4(-1) = -4\)

(d) \(f(-x)\):

Replace \(x\) with \(-x\) in the function:

\(f(-x) = \frac{{(-x)^2 + 1}}{{-x}} = \frac{{x^2 + 1}}{{-x}} = -\frac{{x^2 + 1}}{{x}}\)

(e) \(-f(x)\):

Multiply the function \(f(x)\) by -1:

\(-f(x) = -\left(\frac{{x^2 + 1}}{{x}}\right) = -\frac{{x^2 + 1}}{{x}}\)

(f) \(f(x+5)\):

Replace \(x\) with \(x + 5\) in the function:

\(f(x+5) = \frac{{(x+5)^2 + 1}}{{x+5}} = \frac{{x^2 + 10x + 26}}{{x+5}}\)

(g) \(f(4x)\):

Replace \(x\) with \(4x\) in the function:

\(f(4x) = \frac{{(4x)^2 + 1}}{{4x}} = \frac{{16x^2 + 1}}{{4x}} = \frac{{1}}{{4x}}(16x^2 + 1)\)

(h) \(f(x+h)\):

Replace \(x\) with \(x + h\) in the function:

\(f(x+h) = \frac{{(x+h)^2 + 1}}{{x+h}} = \frac{{x^2 + 2hx + h^2 + 1}}{{x+h}}\)

Therefore, the answers are:

(a) \(f(0)\) is undefined.

(b) \(f(1) = 2\)

(c) \(4(-1) = -4\)

(d) \(f(-x) = -\frac{{x^2 + 1}}{{x}}\)

(e) \(-f(x) = -\frac{{x^2 + 1}}{{x}}\)

(f) \(f(x+5) = \frac{{x^2 + 10x + 26}}{{x+5}}\)

(g) \(f(4x) = \frac{{1}}{{4x}}(16x^2 + 1)\)

(h) \(f(x+h) = \frac{{x^2 + 2hx + h^2 + 1}}{{x+h}}\)

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Answer:

y = x -3

Step-by-step explanation:

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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Recall that:

Therefore the given equation has no solutions.

Answer: Option B.

Answer:

If you make $16 per hour, then your yearly salary would be $31,200.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

divide 36 by 2

Answer:

18

Step-by-step explanation:

36/4=9

1lb=9

2lbs=18

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Answer:

ang hirap naman plss answee