What is 5x-2=28
Solve algebraically

Given

\(7 - px - x^2 = 16 - (q + x)^2\)

expanding the right side gives

\(7 - px - x^2 = 16 - (q^2 + 2qx + x^2)\)

\(7 - px - x^2 = 16 - q^2 - 2qx - x^2\)

Two polynomials of equal degree are the same if their coefficients are identical. This means

\(\begin{cases}16 - q^2 = 7 \\ -2q = -p\end{cases}\)

\(16 - q^2 = 7 \implies q^2 = 9 \implies q=\pm3\)

\(-2q = -p \implies p = 2q = \pm6\)

Both \(p\) and \(q\) are positive, so \(\boxed{p=6}\) and \(\boxed{q=3}\).

He sold the goat at 2 10% profit so he sold the goat for:  15,000 x 1.10 = 16,500

He sold the cow for a loss, so he sold the cow for 35000 x 0.80 = 28,000

Total he paid for both: 15,000 + 35,000 = 50,000

Total he sold both for: 16,500 + 28,000 = 44,500

He sold them for less than what he paid so he lost money.

Subtract sold amount from bought amount:

50,000 - 44,500 = 5,500

Divide the difference by the amount he paid:

5,500 / 50,000 =  0.11 x 100 = 11%

His loss percentage was 11%

The solution to the given differential equation is obtained by separating variables and integrating. The final solution is y = -2x - 4/x².

To solve the given differential equation, we can use the method of separable variables. Let's rearrange the equation by moving all the terms involving y to one side:

y' - x³y² = 4x³

Now, we can rewrite the equation as:

y' = x³y² + 4x³

To separate the variables, we divide both sides of the equation by (y² + 4x³):

y' / (y² + 4x³) = x³

Now, we integrate both sides with respect to x. Integrating the left side requires a substitution, u = y² + 4x³:

∫(1/u) du = ∫x³ dx

The integral of (1/u) is ln|u|, and the integral of x³ is (1/4)x⁴. Substituting back u = y² + 4x³, we have:

ln|y² + 4x³| = (1/4)x⁴ + C

To determine the constant of integration C, we can use the initial condition - y(0) = 2. Substituting x = 0 and y = 2 into the equation, we get:

ln|2² + 4(0)³| = (1/4)(0)⁴ + C

ln|4| = 0 + C

ln|4| = C

Therefore, the equation becomes:

ln|y² + 4x³| = (1/4)x⁴ + ln|4|

To eliminate the natural logarithm, we can exponentiate both sides:

|y² + 4x³| = 4e^((1/4)x⁴ + ln|4|)

Taking the positive and negative cases separately, we obtain two possible solutions:

y² + 4x³ = 4e^((1/4)x⁴ + ln|4|)

and

-(y² + 4x³) = 4e^((1/4)x⁴ + ln|4|)

Simplifying the second equation, we have:

y² + 4x³ = -4e^((1/4)x⁴ + ln|4|)

Notice that the constant ln|4| can be combined with the constant in the exponential term, resulting in ln|4e^(1/4)|.

Now, we can solve each equation for y by taking the square root of both sides:

y = ±√(4e^((1/4)x⁴ + ln|4e^(1/4)|))

Simplifying further:

y = ±2√(e^((1/4)x⁴ + ln|4e^(1/4)|))

y = ±2√(e^(1/4(x⁴ + 4ln|4e^(1/4)|)))

Finally, simplifying the expression inside the square root and removing the absolute value, we have:

y = ±2√(e^(1/4(x⁴ + ln|16|)))

y = ±2√(e^(1/4(x⁴ + ln16)))

y = ±2√(e^(1/4x⁴ + ln16))

Therefore, the solution to the given differential equation is:

y = ±2√(e^(1/4x⁴ + ln16))

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When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

Sorry

Step-by-step explanation:

I not know this one

Answer:

its a 48 lol (kkkkkkkkkkk)

Answer:

Step-by-step explanation:

Given, 12 / (-4) * 3 + 5

Here we can use the BODMAS rule and solve this problem.

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Now, let’s solve this by applying the BODMAS rule.

In the given sum we can find the Brackets in (-4).

12 / -4 * 3 + 5

There is no Of in this sum.

Let’s gust ignore it.

12 / -4 * 3 + 5

In this sum we can Divide 12 and -4.

-3 * 3 + 5

In this sum we can Multiply -3 and 3.

-9 + 5

In this sum we can Add -9 and 5.

-4

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

\((a+b)^2=a^2+2ab+b^2\)

            \(=x^2+8x+16\)

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

\((x+4)^2=x^2+8x+16\)

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

\((x + 4)^2 = x^2 + 8x + 16.\)

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

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The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

4x - 5 > 4

4x > 9

x > 2.25

Integers lying in between in open interval  (1, 8) are 3, 4, 5, 6, 7

Thus, integers lying in between in interval  (1, 8) are 3, 4, 5, 6, 7, which  satisfy the given inequality.

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The correct question is-

State all integer values of x in the interval (1, 8) that satisfy the following inequality:

4x - 5 > 4

The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The measure of side length x in the right triangle is approximately 38.5.

The figure in the image is a right triangle with one of its interior angle at 90 degrees.

Angle A = 33 degree

Adjacent to angle A = x

Opposite to angle A = 25

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( A ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 33° ) = 25 / x

Cross multiplying, we get:

tan( 33° ) × x = 25

x = 25 / tan( 33° )

x = 38.5

Therefore, the value of x is 38.5.

Option D) 38.5 is the correct answer.

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Answer:

Associative Property

Step-by-step explanation:

Answer:

The change in temperature is 28°C

Step-by-step explanation:

Answer:

10(-4x+10)-3 +(8-5x)

-40x+100-3+8-5x

-40x-5x+105

-45x+105

-45x+105=0

-45x=-105

x=-105/-45

x=7/3

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

\(10x^2 - 3x - 6, x=3\\\)

substitute all values of x.

\(10(3)^2 -3(3)-6\)

then simplify the equation.

\(90-9-6\)

=\(75\)

Hope this helps!

Brainliest is much appreciated!

Answer:

75

Step-by-step explanation:

10(3)^2-3x3(or 9)-6

Using inverse function concepts, it is found that the domains that make the function invertible are: \(t \in [0, 2.5]\) of \(t \in [2.5, 5]\).

-----------------------------------

-----------------------------------

Thus, the domains that make the function invertible are: \(t \in [0, 2.5]\) of \(t \in [2.5, 5]\).

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The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

The graph of a function is given below.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

From the given graph we can see the graph of function is passing through the x-axis at -5.

The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.

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Answer:

2070 people.

Step-by-step explanation:

We can set up the following proportion:

\(\frac{46}{100}=\frac{x}{4500}\)

Then, cross multiply, and you'll get your answer: 2070 people.

Hope this helped!

Answer:

2,070 people

Step-by-step explanation:

46% of 4,500 is 2,070

you can also solve this by doing 4,500 x .46 which will also give you 2,070

hope this helps :)

Area depends on the product of sides,

so if the sides are shortened by a factor of 2, area will reduce by a factor of 4. (2×2)

new area = 10/4=2.5 cm²

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer:

Step-by-step explanation:

Without a domain you cannot answer this question.  We can find the maximum value of the function if the spread of acceptable input values (x-values) is specified and the range is likewise specified.

For example, if acceptable input values x are {0, 2} and acceptable input values y are {4, 5}, then the maximum value of p would be 3(2) + 2(5), or 16.

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

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A - 27/5

An integer can be a negative number but it can't be a decimal.

The property tax on their home is $3,975.b. They pay $331.25 monthly toward property taxes.

Value is a subjective concept that refers to the worth or importance that an individual or group of people places on something. It is often associated with principles, beliefs, and standards that are accepted by society. Value can be seen as a measure of how important something is to a person or organization. It is often seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is not an absolute and can vary depending on the context and circumstances.

a. The property tax on Christine and Gene's home would be $17.50 x $230,000/1000 = $3,975.

b. To find out how much they pay monthly, they would need to divide $3,975 by 12 months. This would equal $331.25 which rounded to the nearest cent is $331.25 monthly.

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Answer: The correct answers are:

a. $4,025

b. $335.42

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Area of rectangle = LxB = 4.6X3.15= 14.49

2. Area of right angle triangle= 1/2x base x height = 1/2x 3.3 x 3.15= 5.1975

3. Area of another right angle traingle= 1/2x base x height= 1/2x 3 x (6.3-3.15)*=4.725

add 1+2+3= 24.413 in2

*6.3-3.15 because 3.15 forms part of the rectangle and we want to find the height of the triangle only thus the side of the rectangle is subtracted.