For the function y = 5 – 4x, given the domain {-1, 0, 1}, the range is

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Answer:

Question (A) firgue b is pallorgram

Question ( B) Only A is a rentengle

Question (C) is already right

Step-by-step explanation:

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

The indefinite integral of sec(x) is (1/2) ln|(1 + tan(x/2))/(1 - tan(x/2))| + C, where C is the constant of integration.

To find the indefinite integral of sec(x), we can use a technique called substitution.

Let u = tan(x/2), then we have: sec(x) = 1/cos(x) = 1/(1 - sin^2(x/2)) = 1/(1 - u^2). Also, dx = 2/(1 + u^2) du. Substituting these into the integral, we get: ∫sec(x) dx = ∫(1/(1 - u^2))(2/(1 + u^2)) du. Using partial fractions, we can write: 1/(1 - u^2) = (1/2)*[(1/(1 - u)) - (1/(1 + u))]

Substituting this into the integral, we get: ∫sec(x) dx = ∫[(1/2)((1/(1 - u)) - (1/(1 + u))))(2/(1 + u^2))] du. Simplifying this expression, we get: ∫sec(x) dx = (1/2)∫[(1/(1 - u))(2/(1 + u^2)) - (1/(1 + u))(2/(1 + u^2))] du

Using the natural logarithm identity ln|a/b| = ln|a| - ln|b|, we can simplify further: ∫sec(x) dx = (1/2) ln|(1 + u)/(1 - u)| + C. Substituting back u = tan(x/2), we get: ∫sec(x) dx = (1/2) ln|(1 + tan(x/2))/(1 - tan(x/2))| + C. Therefore, the indefinite integral of sec(x) is (1/2) ln|(1 + tan(x/2))/(1 - tan(x/2))| + C.

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Answer:

The answer is 8/15

hope it helps you

A) Yes it is a function and f(x)=2.80+3.50x so 2.80 is an independent function and 3.50x is dependent function

B) Domain x = (0,20] and Range y = (2.8,72.8]

A dependent function is what?

A dependent function type is one whose outcome depends on the parameters of the function.

Independent function: What is it?

Independent function (plural independent functions) as a noun (mathematics) any one of a group of functions whose value cannot be inferred from the values of all the others.

Given: The expression y = 3.5x + 2.8 calculates the y (in dollars) cost of an x-mile taxi fare. You have enough cash to take a cab for a maximum of 20 kilometres.

Domain and range to find

Solution:

y = 3.5x + 2.8

cost y (in dollars)

miles, in.

You have enough cash to take a cab for a maximum of 20 kilometres.

0 < x ≤ 20

Therefore, x = [0, 20].

Domain x = [0, 20]

y = 3.5x + 2.8

x = 0

=> y = 0 + 2.8 = 2.8

x = 20

=> y = 3.5(20) + 2.8

=> y = 70 + 2.8

=> y = 72.8

2.8 < y ≤ 72.8

y = (2.8 , 72.8 ]

Range = (2.8 , 72.8 ]

Learn More :

Find the domain and range of the function f(x)= √9-x² . OR. Let f ...

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Consider this function. f(x) = |x – 4| + 6 If the domain is restricted to

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Answer:

Step-by-step explanation:

14

Answer:

14 will be your answer for that question

Answer:

3/28

Step-by-step explanation:

1/7 times 6/8

Answer: The length of the other diagonal is approximately 5.83 cm (rounded to two decimal places).

Step-by-step explanation:

Label the diagonals of the rhombus as d1 and d2. Since the diagonals of a rhombus intersect at a 90-degree angle, we can use the Pythagorean theorem to relate the diagonals and the side length:

d1^2 = (6/2)^2 + (d2/2)^2

d1^2 = 9 + (d2/2)^2

We also know that the length of one diagonal is 10cm:

d2 = 10

We can substitute this value into the equation for d1:

d1^2 = 9 + (10/2)^2

d1^2 = 9 + 25

d1^2 = 34

Taking the square root of both sides, we get:

d1 = sqrt(34)

The function is a linear function because as x increases, the y-value changes at a constant rate . The rate of change of this equation is 2.

The difference between linear and exponential functions is that  Linear functions change at a constant rate per unit interval while an exponential function changes by a common ratio over equal intervals.

We are given the function table as:

(0, -3)

(1, -1)

(2, 1)

(3, 3)

Thus, we can see that as x increases, the y-value changes at a constant rate of  + 2.

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Answer:

i willl maybe help but

Step-by-step explanation:

Describe the process as civilizations in Africa changed from Hunter and Gatherer communities to civilizations.

A system of equations consisting of a linear equation and a quadratic equation has infinitely many solutions is not true.

Linear equations are equations that graph as a line, while the quadratic equations are that graph as a parabola. Lines and parabolas in the xy-plane are convenient representations of linear and quadratic systems, respectively. One solution to the system is shown by each point where the line and parabola intersect. It is possible for a line and a parabola to intersect zero, one, or two times. This indicates that a linear and quadratic system may have zero, one, or two solutions.

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The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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1) 2 3÷4 = 11÷4

hence, 11÷8 = 1.37 .

2)  4 2÷9 =38÷9 .

hence, 38÷18 = 2.11 .

simplify  2 3÷4  = 11÷4

and

4 2÷9 = 38÷9.

now 1/2 of 11/4 = 11/8 = 1.37.

1/2 of 38/9 = 38/18 = 2.11 .

Answer:

(3,2)

Step-by-step explanation:

If you graph the equations, they cross at this point.

The National Center for Education Statistics estimates that 69% of high school graduates in the US plan to attend college after graduation, but this is only an estimate based on general trends and assumptions. The actual proportion of college-bound students in a given population may differ depending on socioeconomic status, location, and individual interests and goals.

Assuming that the percentage of high school students who plan to attend college in the town is representative of the national average, we can use proportional reasoning to make a prediction about the number of students who would attend college.

Out of 20,000 residents, 30% or 6,000 are high school students. If 70% of these students plan to attend college, we can calculate the number of students who will attend college as follows:

6,000 x 0.70 = 4,200

Therefore, based on the given data, we can predict that around 4,200 students in the town will attend college. However, this is just an estimation, and other factors such as economic conditions and the availability of colleges and universities may affect the actual number of students who attend college.

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Answer:

It's a true solution.

Step-by-step explanation:

\(3(5) + 4 - 5 = 4(5) - 6\)

\(15 + 4 - 5 = 20 - 6\)

\(19 - 5 = 14\)

\(14 = 14\)

Answer:

7000

Step-by-step explanation:

21000/0.667

=14000

21000-14000

=7000

Number of cases of flooring Michelle needed to buy to install new flooring in the office floor and living room floor can be found by the equation  x = (A₁ + A₂) / 19.63 where A₁ and A₂ are the area of the office floor and living room floor respectively.

Multiplication is a basic operation in mathematics where when two numbers are multiplied, one number is actually repeated to that times as that of the other number and vice versa.

In other words, a × b implies that a is added repeatedly up to b times or b is added repeatedly up to a times.

Let the area of the office floor be A₁.

Let area of the living room floor be A₂.

Then the total area Michelle needs to do the flooring will be  A₁ + A₂.

Area covered by 1 case of flooring = 19.63 square feet

Let x be the number of cases which cover the total area.

Then  19.63x will be the total area A₁ + A₂.

19.63x = A₁ + A₂.

Or x = (A₁ + A₂) / 19.63

Hence, if the area of the office floor and living room floor are given, we can find the number of cases needed to do the total flooring by the equation x = (A₁ + A₂) / 19.63.

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Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

To prove that lines with a product of -1 are perpendicular, we can use the concept of slopes. If the product of the slopes of two lines is -1, then the lines are perpendicular to each other.

Let's consider two lines, L₁ and L₂, with slopes m₁ and m₂, respectively. The condition for perpendicularity states that m₁ * m₂ = -1.

To understand why this condition holds true, we can examine the geometric interpretation. The slope of a line represents the tangent of the angle between the line and the x-axis. When two lines are perpendicular, their angles between them are 90 degrees, or π/2 radians. The tangent of π/2 is undefined.

If m₁ * m₂ = -1, then either m₁ or m₂ must be the reciprocal of the other. This implies that one line has a positive slope, while the other has a negative reciprocal slope. The positive and negative slopes result in lines that are perpendicular to each other, forming a right angle at their intersection.

Therefore, when the product of the slopes of two lines is -1, the lines are proven to be perpendicular.

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Answer:

C

Step-by-step explanation:

Expand the factors and compare the coefficients of like terms.

Given

(mx + 2)(3x - 5) ← expand using FOIL

= 3mx² - 5mx + 6x - 10

Compare to 12x² - 14x - 10

For the 2 to be equal, then the coefficients of like terms must be equal.

Compare coefficients of x² terms

3m = 12 ( divide both sides by 3 )

m = 4 → C

Answer:

x=7

Step-by-step explanation:

distributive property: multiply both terms in the parentheses by the term outside the parentheses (3)

3 times x = 3x

3 times -2= -6

3x-6=15

move -6 to other side by adding 6+15

3x=21

divide 21 by 3

x=7

Answer:

x=7

Step-by-step explanation:

Evalute to 3x-6=15, then add 6 to both sides. Then, divide 3 by both sides to get x by itself getting you a answer which becomes, x=7.

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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hope this helps! Its the answer key to something almost exact

The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

12 people fit comfortably in a 5 by 5 feet area.

Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.

The fractions:

12/25 = x/(5280×10)

After cross multiplication:

25x = 633600

x = 633600/25

x = 25344

Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

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Answer: F. n = s/180 + 2

Step-by-step explanation:

         To find the equation that solves for n, we will isolate the n variable.

Given:

     S = (n - 2) x 180

Divide both sides of the equation by 180:

     \(\frac{S}{180}\) = n - 2

Add 2 to both sides of the equation:

     \(\frac{S}{180}\) + 2 = n

Reflexive property:

    n = \(\frac{S}{180}\) + 2

                   F. n = s/180 + 2