HELP! DUE SOON!! SO CONFUSED!!!

Answer:

Problem 9:  One solution

Problem 10:  Infinitely many solutions

Problem 11: One solution

Problem 12:  No solution

Step-by-step explanation:

Solving one-variable equations

When solving a one variable equation, there are two steps:

During Step 1 of that process, usually one will be combining like-terms to take two terms that contain x, and merging them into one term that contains x.  However, occasionally, the like terms contain x will completely cancel, leaving an equation with no variable left in it.

At that point, there are one of two possibilities:

If the remaining equation is true, it doesn't matter what the value of x is, the equation will be true.  This means there are infinitely many solutions (any value of x will make the equation true).

Similarly, if the remaining equation is false, it doesn't matter what the value of x is, the equation will be false.  This means there are no solutions (no values of x that will make the equation true).

Problem 9

\(3-x=x-3\)

Add "x" to both sides to move the x-term on the left side of the equation from the left, to the right side, and group like terms.

\(3=2x-3\)

We were able to combine like terms containing the x into a single term.  This equation will have one solution.

The remaining work is unnecessary to answer the question, but shows that there is one solution, the steps to find it, and what it is.

\(6=2x\)

\(3=x\)

Problem 10

\(4x-8=4(x-2)\)

Use the distributive property on the expression on right hand side of the equation ...

\(4x-8=4x-8\)

Observe that at this point, the entire left hand side of the equation EXACTLY matches that of the entire right hand side of the equation.

They are not just equal, they are exactly the same.

Attempting to move the term with x on the left hand side to the right hand side will require subtracting 4x from both sides, but combining like terms will cancel all terms with x on both sides....

\(-8=-8\)

Since negative eight is ALWAYS equal to negative eight, no matter what value you choose for x, the equation must be true because each side is the same exact expression.  This means there are infinitely many solutions.

Problem 11

\(5(1-x)=5+5x\)

Apply the distributive property on the expression on left hand side of the equation ...

\(5-5x=5+5x\)

Add 5x to both sides of the equation to move the terms with x on the left side to the right side of the equation, and combine like terms...

\(5=5+10x\)

Again, we were able to combine like terms containing the x into a single term.  This equation will have only one solution:

Subtract 5 from both sides...

\(0=10x\)

Divide both sides by 10...

\(0=x\)

Problem 12

\(x+2(x-7)=3x-7\)

Apply the distributive property on the expression on left hand side of the equation ...

\(x+2x-14=3x-7\)

Combine like terms on the left hand side of the equation...

\(3x-14=3x-7\)

To move the term with x from the left side to the right side, subtract 3x from both sides, and combine like terms...

\(-14=-7\)

Here, when combining like terms, the x all canceled out, and negative 14 is not equal to negative 7.  So, there is no solution so this equation.

Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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Step 1: Let's recall the formula for the Average Rate of Change:

ARC = (f (b) - f(a)=/b - a

Step 2: According to the graph provided, we have:

f (-3) = 0

f (-2) = 2

Step 3: Replace the values we know in the formula:

ARC = 2 - 0/-2 - (-3)

ARC = 2 /-2 + 3

ARC = 2/1

ARC = 2

Now you can decide which of the alternatives given is the correct

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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Answer: y = 2x - 8

Step-by-step explanation:

When x = 0, y = -8. This is the y-intercept.

As x increases by 1, y increases by 2. This makes 2 the slope.

The equation for the linear relationship given, in slope-intercept form is y = 2x-8

The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.

Given that, coordinates representing a linear relationship.

x → 0, 1, 3, 4

y → -8, -6, -2, 0

We need to find an equation for the given linear relationship in slope-intercept form,  

Considering points, (0, -8) and (4, 0)

We know that, the equation of a line passing through, two points is given by,

y-y₁ = (y₂-y₁) / (x₂-x₁) (x-x₁)

Here, y₁ = -8, y₂ = 0, x₁ = 0, x₂ = 4

Therefore, the equation is =

y+8 = 8/4(x-0)

y+8 = 2x

y = 2x-8

Hence, the equation for the linear relationship given, in slope-intercept form is y = 2x-8

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Therefore, nine rabbits will need 7.5 sacks of food for one week.

The unitary method is a mathematical technique that involves finding the value of a single unit to determine the value of a given number of units. It is a method of solving mathematical problems that involve proportional relationships between quantities. The unitary method is commonly used in various areas of mathematics, such as algebra, arithmetic, and geometry. It is also used in everyday life to solve problems related to money, time, distance, and other quantities.

Here,

To solve this problem, we can use proportionality. We know that the number of sacks of food needed is directly proportional to the number of rabbits.

Let x be the number of sacks needed for 9 rabbits. Then, we can set up the following proportion:

6/10 = 9/x

Cross-multiplying, we get:

6x = 90

Dividing both sides by 6, we get:

x = 15/2 or 7.5

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Complete question:

If six rabbits need 10 sacks of food per week, how many sacks will nine rabbits need to eat for one week?

Answer:

25 Meter

Step-by-step explanation:

Answer:

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Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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The logarithmic equation is equivalent to this exponential equation is x = log (8/25) (option c).

In this case, we are asked to find the logarithmic equation that is equivalent to the given exponential equation:

2,400 = 7,500(10)⁻ˣ

To solve for x, we need to isolate it on one side of the equation. We can start by dividing both sides by 7,500:

2,400/7,500 = (10)⁻ˣ

The choice of base for the logarithm doesn't matter, as long as we use the same base for both sides. Let's use base 10:

log(2,400/7,500) = log(10⁻ˣ)

Using the properties of logarithms, we can simplify the right-hand side:

log(2,400/7,500) = -x*log(10)

We know that log(10) = 1, so we can simplify further:

log(2,400/7,500) = -x

x = log(8/25) = log(8) - log(25) = 0.9031 - 1.3979 = -0.4948

So the only answer choice that gives us the same equation as the original exponential equation is (C) x = log (8/25).

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Complete Question:

Which logarithmic equation is equivalent to this exponential equation?

2,400 = 7,500(10)^(-x)

A. x= -log (25/8)

B. x = log(-25/8)

C. x = log (8/25)

D. x = -log (8/25)

The length of EF is 18 cm.

A triangle is a three-sided polygon with three angles that add up to 180 degrees. It is the simplest polygon and has a variety of properties and formulas associated with it.

Since triangles ABC and DEF are similar, their corresponding sides are in proportion. Specifically, we have:

AB/DE = AC/DF = BC/EF

Using the given information, we can solve for EF:

AC/DF = 9/18 = 1/2

BC/EF = 12/EF

Therefore, we have:

1/2 = AC/DF = AB/DE

12/EF = BC/EF

Multiplying these two equations gives:

(1/2) * (12/EF) = AB/DE

6/EF = AB/DE

Since AB/DE = BC/EF, we can substitute the given values to get:

6/EF = 12/EF

Solving for EF, we get:

EF = 18 cm

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Answer:I think i remember this i think is A.

Step-by-step explanation:

The value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We are given that tan θ = -1, and we need to find the value of sec θ in the interval 3π/2 < θ < 2π.

Since tan θ = -1, we know that θ is in the third quadrant, where both x and y coordinates are negative. In the third quadrant, the reference angle for θ is π - θ, so we have:

tan θ = -1 = tan(-π/4)

π/4 = π - θ

θ = 3π/4

Now, we can use the fact that sec θ is the reciprocal of cos θ, and find cos θ in the third quadrant.

In the third quadrant, cos θ is negative. We can use the Pythagorean identity to find cos θ:

sin²θ + cos²θ = 1

Since sin θ is positive and we know that θ is in the third quadrant, we have:

sin θ = -√(1 - cos²θ)

tan θ = sin θ/cos θ = -1

Substituting sin θ and simplifying, we get:

-√(1 - cos² θ)/cos θ = -1

√(1 - cos² θ) = cos θ

Squaring both sides:

1 - cos²θ = cos²θ

2cos²θ = 1

cos²θ = 1/2

cos θ = -√2/2 (since θ is in the third quadrant)

Finally, we can find sec θ:

sec θ = 1/cos θ = -√2

Therefore, the value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

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Answer:

i meant 7 bc it is isosceles.

Step-by-step explanation:

Answer: 70 cats

Step-by-step explanation:

add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.

The x intercept is the value of x at the point where the curve touches the x axis of the graph. Looking at the graph,

x intercept = - 1

It is written as (- 1, 0)

The zeros of the quadratic function is the same as the x intercept. Since the curve touches the x axis at only x = - 1, the zeros would be

x = - 1 twice

The number of square feet of carpet needed for the rooms is 889 ft².

The total square footage of your house is 1200 square feet.

He wants to put new carpet in all rooms except for  the kitchen, dining room and bathroom.

Therefore,

total area = 1200 ft²

Area of the other rooms with no carpet  = (10 × 12) + (11 × 13) + (6 × 8)

Area of the other rooms with no carpet  = 120 + 143 + 48

Area of the other rooms with no carpet  = 311 ft²

Hence, the number of square feet for the house = 1200 - 311 = 889 ft²

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Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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Answer:

-1 7/10 and -1.7

Step-by-step explanation:

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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25 hope that helps you out

Answer: The probability is approximately 20.51%.

Step-by-step explanation:

Answer:

One of these

Step-by-step explanation:

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.

What is Logical Error/Fallacies?

Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.

Basic Logic - knowing the study of current reasoning is basic logic.

Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.

Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the  promises that he did.

Legislative assembly member's contestant told in his addressing that we  promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .

Therefore, this is an example of logical error.

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