Which step is incorrect?

Answer:

The value of x = -4

Step-by-step explanation:

The given linear function is f(x) = -4x+8

We have to find the x corresponding to f(x) = 24

For our convenience, let f(x) = y

Then y = -4x + 8

This equation implies y in terms of x.

Isolating x to one side of the equation, we get,

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

This equation gives x in terms of y.

So when f(x) = y = 24,

x = (8-24)/4

⇒ x = -4

Answer:

A reciprocal function can be written in the form of f(x) = a / (x-h) + k, where a is a constant, h is the x-value of the vertical asymptote, and k is the y-value of the horizontal asymptote.

Given that the vertical asymptote is located at x = -2 and the horizontal asymptote is located at y = 5, we can write:

f(x) = a / (x - (-2)) + 5

Simplifying this expression, we get:

f(x) = a / (x + 2) + 5

Therefore, an equation that could represent this reciprocal function is:

f(x) = a / (x + 2) + 5

Step-by-step explanation:

The dimensions of the poster are approximately 10.64 inches by 1.15 inches.

What are dimensions of an objects?

Dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, breadth, and height.

According to the problem, the length of the poster is 8 more inches than two times the width, which can be expressed as:

length = 2x + 8

The area of the poster is given as 42 square inches, so we can set up the equation:

area = length * width

Substituting the expressions for length and width, we get:

42 = (2x + 8) * x

Expanding the right side, we get:

[tex]42 = 2x^2 + 8x[/tex]

Moving all terms to one side, we get:

[tex]2x^2 + 8x - 42 = 0[/tex]

Dividing both sides by 2, we get:

[tex]x^2 + 4x - 21 = 0[/tex]

We can solve for x using the quadratic formula:

x = (-4 ± √(4² - 41(-21))) / (2*1)

x = (-4 ± √88) / 2

x = (-4 ± 2√22) / 2

x = -2 ± √22

Since the width of the poster cannot be negative, we take the positive solution:

x = -2 + √22

Using this value, we can find the length of the poster:

length = 2x + 8 = 2(-2 + √22) + 8 = 2√22 + 4

Therefore, the length of the poster is approximately 10.64 inches (rounded to two decimal places).

Thus, the dimensions of the poster are approximately 10.64 inches by 1.15 inches.

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The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.

In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.

Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.

To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.

Therefore,  the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

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The future population of the rabbit in the first year is 290.

Logistic growth is defined as the population growth where the growth rate gets smaller as the size of the population approaches the maximum. This maximum point is called carrying capacity.

Here given that,

Carrying capacity, K = 2000

Initial population, P₀ = 200

Growth rate, r = 50% = 0.5

Population in the first year, P₁ = P₀ + r [(1 - P₀/K) P₀]

                                                 = 200 + 0.5 [(1 - 200/2000) 200]

                                                 = 200 + 90

                                                 = 290

Hence the population in the first year is 290.

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Answer:

Step-by-step explanation: OK so is A'B'C'D' a translation, rotation, or reflection of ABCD? OK so A'B'C'D' is a rotation i believe because like you i'm on the same thing. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? OK so A"B"C"D" is a reflection i believe i'm not really sure on that one. Suppose the measure of angle B is 89°. Which other angle must be 89°? OK so angle A, angle C, and angle B. But I really don't get what you trying to ask? Hope I kind of helped, like i said im in 8th grade and it is kind of hard for me too.

The solution is, the expression is -3+0i, so, a = -3 & b = 0.

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation {\displaystyle i^{2}=-1}; every complex number can be expressed in the form a + bi, where a and b are real numbers.

here, we have,

So we have:

given that,

(2+6i) - (5+6i)

First, distribute:

2+6i - 5 -6i

Combine like terms:

2 - 5 + 6i - 6i

Add:

-3 + 0

So, in the a+bi format, we will have:

-3 + 0i

Hence, The solution is, the expression is -3+0i, so, a = -3 & b = 0.

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The number of days that he was in Europe will be 42 days.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

Answer:[tex]m[/tex] = [tex]d[/tex]/[tex]25[/tex]

Step-by-step explanation:I don't know if this is correct but i think it is:

Solve D=25m

Evaluate powers D = 25m

Subtract D from both sides D= 25m[tex]1[/tex] - D

Add D to both sides D=25m1

Evaluate powers D=25m

Divide both sides by 25 D/25 =m

Solution m = D/25

The quadrilateral is most specifically a D. square, because C. all sides are congruent.

What is a square?

A quadrilateral with four equal edges is called a square. There are numerous items in our environment that have a square form. Equal sides and interior angles that are both 90 degrees distinguish each square form.

A square is a quadrilateral where all sides are congruent and all angles are right angles.

This matches the given description of the figure with 4 vertices, where the diagonal angles are same and all the sides are equal.

Therefore, the correct option for the first blank is D, and the correct options for the second blank is C.

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Answer:

The quadrilateral is most specifically a rhombus because all sides are congruent.

Step-by-step explanation:

From inspection of the given quadrilateral, we can see that:

(This is denoted by the same number of tick marks on each congruent line segment and each congruent angle).

All sides of a square and a rectangle meet at right angles, i.e. their interior angles are congruent. Since the interior angles of the given quadrilateral are not all equal, the figure cannot be a square or a rectangle.

All sides of a rhombus are equal in length, and its opposite angles are congruent. This description matches the given shape. Therefore, the quadrilateral is a rhombus.

Answer:

$53.25

Step-by-step explanation:

$[tex]\frac{355}{100}= 1[/tex]%

$[tex]15\frac{355}{100} = 15[/tex]%[tex]= 53.25[/tex]$

Answer:

53.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]6x-10=2x+18[/tex]   (opposite sides of parallelogram are equal)

[tex]4x-10=18[/tex]           (subtracted [tex]2x[/tex] from both sides)

[tex]4x=28[/tex]                   (added 10 to both sides)

[tex]x=7[/tex]                       (divided both sides by 4)

Substitute [tex]x=7[/tex] to find length AB:

[tex]AB=6x-10[/tex]

      [tex]=6[/tex]×[tex]7-10[/tex]

       [tex]=32[/tex]

Answer:

4x+14

Step-by-step explanation:

Let x represent the cost of one movie ticket. If we have 4 sisters, we can write the first term as 4x.

Then, because we have the additional $14, we just add 14 to the expression.

Thus the answer is 4x+14

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Answer:

Jennifer went grocery shopping; She purchased supplies to make sandwiches.

Step-by-step explanation:

Out of all the other sentences, "Jennifer went grocery shopping; She purchased supplies to make sandwiches." is the only grammatically correct answer.

The angles of the triangle will be 5 °, 45 °, and 130 °.

The triangle is a two-dimensional geometric object with three straight sides and three angles. The lengths of the triangle's three sides can differ from the third side (isosceles triangle), be equal (equilateral triangle), or be any combination of the three (scalene triangle).

The sum of the angles in a triangle is always 180 degrees; the opposite angle of the longest side is the largest, and the opposite angle of the shortest side is the smallest.

Now,

Let x be the common factor that multiplies the ratio of 1:9:26. Then, the measures of the angles can be expressed as x, 9x, and 26x.

Since the sum of the angles in a triangle is always 180 degrees, we can set up an equation:

x + 9x + 26x = 180°

Simplifying the equation, we get:

36x = 180

Dividing both sides by 36, we get:

x = 5

Therefore, the measures of the angles are:

x = 5 degrees (the smallest angle)

9x = 45 degrees

26x = 130 degrees (the largest angle)

So the angles of the triangle are 5 degrees, 45 degrees, and 130 degrees.

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Using displacement, His unit rate every mile per hour will be 4 miles/hours.

When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.

Mario walked at a rate of 2/3 mile every 10 minutes.

We have,

Distance = 2/3 miles

Time = 10 minutes

On substituting these values in the above formula, we get

speed = 2/10.3

We have to find the unit rate in mile per hour, so we need to multiply it by 60, 1/15 × 60 = 4 miles/hours

Hence, his unit rate every mile per hour will be 4 miles/hours.

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The answer should be: x [tex]\geq[/tex] -10

The scale factor for the given transformation is -

{k} = 2/3.

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

Given is a figure {Q} that is a transformation of figure {P}.

The base length of the figure {P} is 15 cm. The base length for figure {Q} is 10 cm. So, we can write the scale factor as -

{K} = 10/15

{K} = 2/3

Therefore, the scale factor for the given transformation is -

{k} = 2/3.

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30% or 3/10

Bob is 4/5

His sister is 1/2

convert to percents so 80% and 50%

he ran 30% more of a mile (3/10)

Based on the information, it can be inferred that the probability that a person has four or more cell phones in their home is 0.0494

To find the probability that a person has four or more cell phones in their home, we must carry out the following mathematical procedure.

We must find the total number of people surveyed and the percentage that each group represents:

Now we must establish the probability. For this we must carry out the following mathematical procedure:

According to the above, the probability that someone answers that four or more cell phones are used in her house is 0.0494.

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The H.C.F. of 30, 45, and 60 using the division method is 30.

To find the H.C.F. (Highest Common Factor) of the given numbers using division method, we can follow these steps:

Let's apply this method to find the H.C.F. of 30, 45, and 60.

Step 1: We start by dividing the larger number, 60, by the smaller number, 30.

60 ÷ 30 = 2 with a remainder of 0

Step 2: Now, we divide the smaller number, 30, by the remainder, which is 0.

30 ÷ 0 = undefined

Since the remainder is zero, we stop the process here. The last divisor we obtained is 30. Therefore, the H.C.F. of 30, 45, and 60 is 30.

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a. A ⋁ G: Elvis is alive or Elvis gained weight.

b. ~(A ⋀ G): Elvis is not both alive and gained weight.

c. G → ~A: If Elvis gained weight, then Elvis is not alive.

d. A ↔ ~G: Elvis is alive if and only if Elvis did not gain weight.

By using the future value of a series formula, you can calculate the future value of your investment. In this case, if you invest $600 annually in a 401k mutual fund with a 9% annual return, you will have approximately $132,204.02 after 40 years.

To solve this problem, we can use the future value of a series formula (also known as an annuity), which is common in business finance. The formula is:

FV = P * [((1 + r)^n - 1) / r]

Where:
FV is the future value of the money you have invested.
P is the annual investment (in this case, $600).
r is the annual rate of return (which is 9% or 0.09 as a decimal).
n is the number of years the money is invested (which is 40 in this scenario).

Applying these numbers to the formula we get:

FV = 600 * [((1 + 0.09)^40 - 1) / 0.09]

After performing the calculations, the future value (which is the amount of money you'll have at the end of 40 years) comes out to be approximately $132,204.02. Thus, if you invest $600 annually in a 401k which invests in an international stock mutual fund with a 9% annual rate of return, you will have $132,204.02 in the fund when retiring in 40 years.

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The lateral limits of the function g(x) at x = 4 are given as follows:

[tex]\lim_{x \rightarrow 4^-} g(x) = -4, \lim_{x \rightarrow 4^+} g(x) = 2[/tex]

To obtain lateral limits, we need to take the limit of a function as it approaches a point from the left-hand side and the right-hand side separately.

If the two limits are equal, then this is the limit of the function, while if the lateral limits are different, then the limit of the function does not exist for the value of x.

On a coordinate plane, a curve starts at closed circle (4, negative 4), curves up to (3, negative 3), and curves down to (negative 1, negative 8), and then curves up through (negative 3, 4), hence the lateral limit to the left of x = 4, where x is less than 4, is given as follows:

[tex]\lim_{x \rightarrow 4^-} g(x) = -4[/tex]

A curve starts at open circle (4, 2) and curves up through (8, 5), hence the lateral limit to the right of x = 4, where x is greater than 4, is given as follows:

[tex]\lim_{x \rightarrow 4^+} g(x) = 2[/tex]

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In response to the query, we can state that r: the annual rate of increase equation (6% in this case)

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.  

Explicit Formula:

[tex]a_n = a_0 \times (1 + r)^n[/tex]

Recursive Formula:

[tex]a_n = a_{n-1} \times (1 + r)[/tex]

where:

[tex]a_n[/tex]: the value of the action figure after n years

[tex]a_0[/tex]: the initial value of the action figure ($1100 in this case)

r: the annual rate of increase (6% in this case)

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V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

What is equation?

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements.

Let V(n) be the value of the action figure after n years.

Explicit formula:

V(n) = 1100(1 + 0.06)^n

Recursive formula:

V(0) = 1100

V(n) = V(n-1) + 0.06V(n-1)

Therefore, V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

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The possible value of angle M is 30.6°.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given is a triangle LMN.

Given,  m = 4.1 inches, I = 3.9 inches

∠L = 151°. We have to find ∠M.

Using law of sines,

l / sin L = m / sin M

3.9 / sin (151°) = 4.1 / sin (M)

sin (M) = [4.1 × sin (151°)] / 3.9

           = 0.5097

M = sin⁻¹ (0.5097) = 30.64° ≈ 30.6°

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The question is incomplete. The complete question is,

In triangle LMN, m = 4.1 inches, I = 3.9 inches and ∠L = 151°. Find all possible values of ∠M to the nearest 10th of a degree.

The value of a discriminant determines the kind of roots in a quadratic equation, and the sign of a discriminant indicates whether the roots were real or complex, unique or recurring.

Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a 2nd quadratic formula in a single variable. a 0. It has at most one solution since it is a 2nd quadratic problem, which is guaranteed by the algebraic basic theorem. The solution could be straightforward or difficult.

To put it another way, if a twice the square of a expression that comes after b plus b times the same expression never squared plus c equals 0.

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Answer:

∠x and ∠y are congruent or equal

Step-by-step explanation:

∠x and ∠y are congruent or equal because their vertical angles are alternate interior angles.

OR vertical angle of ∠x is congruent with ∠y because they are both corresponding angles

OR vertical angle of ∠y is congruent with ∠x because they are both corresponding angles

Answer:

B

Step-by-step explanation:

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