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Question 4 (25 points)
Charley wants to start taking golf lessons. There is a one-time fee of $45 to sign up, then it costs $80 per month. a) Write an equation to model
this problem. b) What will be the total cost after 7 months?
a
d
C = 45m +80; The total cost will be $395 after 7 months.
C = 80m + 45; The total cost will be $605 after 7 months.
C = 45m +80; The total cost will be $125 after 7 months.
C = 80m + 45; The total cost will be $125 after 7 months.
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The linear function y = 4, perpendicular to x = 3, is graphed at the end of the answer.

A linear function is modeled by the following rule:

y = mx + b

In which:

When two linear functions are perpendicular, they intersect forming an angle of 90º between them.

For this problem, we want a line perpendicular to x = 3.

The line passes through (-2,4), with y-coordinate of 4, hence the line is given by:

y = 4.

On the graph given at the end of the answer, it is shown that the two lines are perpendicular, forming an straight angle. The line y = 4 is graphed in blue.

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Answer:

12.

Step-by-step explanation:

y /x = 6/8 = 3/4

y/x = 18/24 = 3/4

The relation is y = 3/4 x.

So, the missing value is 16 * 3/4

= 12.

Answer: bofa

Step-by-step explanation:

The solution is 6

Rewriting the given equation

√(4x + 1) - 5 = 0

Now, taking square of the equation to find the solution of equation -

(√(4x + 1))² = 5²

On squaring both sides we get the equation -

4x + 1 = 25

Shifting 1 to the Right Hand Side of the equation

4x = 25 - 1

Performing subtraction on Right Hand Side of the equation

4x = 24

Shifting 4 to the Right Hand Side of the equation as denominator

x = 24 ÷ 4

Performing division on Right Hand Side of the equation

x = 6

Thus, the solution is 6

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The correct question is - sqrt(4x+1)-5=0

Answer:

the answer will be (-1, -6.5)

Step-by-step explanation:

The midpoint formula is [tex](\frac{x^1 + x^2}{2} , \frac{y^1 + y^2}{2} )[/tex]

so you would do [tex](\frac{2 - 4)}{2} , \frac{-9-4}{2} )[/tex] , the only reason it is subtracting is that a positive and a negative make a negative so you might as well subtract, either way, if you insert the equation by doing 2 + (-4) you will get the same thing

then you would just do the math and get your answer

Hope this helps :)

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -4 +2}{2}~~~ ,~~~ \cfrac{ -4 -9}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ -13 }{2} \right)\implies \left(-1~~,~~-6\frac{1}{2} \right)[/tex]

The equivalent of the given expression 5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b ) is 2a - b.

Given the expression in the question;

5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b )

To simplify, apply distributive property.

5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b )

5(2a) + 5(b) + 2(a) + 2(2b) − 5(2a) -5(2b )

Perform the multiplication operation.

10a + 5b + 2a + 4b − 10a - 10b

Collect like terms

10a − 10a + 2a + 5b + 4b - 10b

2a + 5b + 4b - 10b

2a + 9b - 10b

2a - 1b

2a - b

Therefore, the equivalent of the given expression 5( 2a + b ) + 2( a + 2b ) − 5( 2a + 2b ) is 2a - b.

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The required solution of the system of equations are x=-6 and y=-10.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The system of equations are

-2x+2y=-8 and -3x+y=8

According to given question we have

Consider the first equation.

-2x+2y=-8

Taking  minus sign common  from both sides we get

-(2x-2y)=-8

2x-2y=8

Taking  2 common  from left sides,  we get

2(x-y)=8

Divide by 2 on both sides we get,

x-y= 4....(i)

-3x+y=8...(ii)

By adding 2 equation we get

-2x=12

x=-6

Put the value of x in Equation (i) we get

x-y= 4

-6-y=4

-y=4+6

y=-10

Therefore, the required solution of the system of equations are x=-6 and y=-10.

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The evaluated value of [tex]log_{7}30[/tex] is 1.748

Change of base formula is used to change the base of the logarithm. It is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm.

According to the change of base formula:

       [tex]log_{a}b = \frac{log_{x}b }{log_{x} a}[/tex]

where base x is considered base 10

According to the question, we have to find the value of [tex]log_{7} 30[/tex]

Thus applying change of base formula we get

    [tex]log_{7} 30 = \frac{log_{10} 30}{log_{10} 7}[/tex]

calculating the value of log from the calculator we get,

        [tex]log_{7} 30 = \frac{1.477}{0.845}[/tex]

        [tex]log_{7} 30 = 1.748[/tex]

Thus evaluated value of [tex]log_{7}30[/tex]  is 1.748

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A real coefficient quadratic equation cannot have one real root and one imaginary root.

Therefore, a real coefficient quadratic equation cannot have one real root and one imaginary root.

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Answer:

3*2

Step-by-step explanation:

45x2.20=99

meaning she spent $99

45x3.75=168.75

shows how much she made

168.75-99=69.75

shows what she profited

your answer is $69.75

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hope this helped :)

The slope between (-8,4) and (3,-1) is -5/11 and the slope of 4x - 3y = 13 is 4/3

The points are given as

(-8,4) and (3,-1)

The slope between the points is calculated using

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

So, we have

Slope = (-1 - 4)/(3 + 8)

Evaluate

Slope = -5/11

Hence, the slope between (-8,4) and (3,-1) is -5/11

The equation of the line is given as

4x - 3y = 13

Make 3y the subject of the formula

So, we have

3y = 4x - 13

Make y the subject of the formula

So, we have

y = 4/3x - 13/3

A linear equation is represented as

y= mx + c

Where

Slope = m

By comparison, we have

m = 4/3

Hence, the slope of 4x - 3y = 13 is 4/3

A graph that represents direct variation is a linear graph that passes through the origin

The slopes of parallel lines are equal

i.e. m1 = m2

The slopes of perpendicular lines are opposite reciprocals

i.e. m1 = -1/m2

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The given  logarithmic expression statement is false. Because log₄7- log ₄3 = log₄(7/3).

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.

Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).

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The value of x for log (5-2 x)=0 is 2.

It is established that the exponential equation x = ay and the logarithmic function y = logax are equal. Only when x = ay, a > 0, and a 1 do y and logax coincide. The base-a logarithmic function is what it is known as. Think about what it means for the exponential function to be inversed: x = ay.

Given,

log (5-2 x)=0

It can be expressed as -

5 - 2x = 10⁰

= 5 - 2x = 1

= x = 2

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In a quadrilateral with a perimeter of 120 inches, the longest of the four sides has length equal to 33 inches.

A quadrilateral is a two-dimensional figure that has 4 sides and 4 vertices. The perimeter of any two-dimensional figure is the sum of all its sides.

If the lengths of the four sides of a quadrilateral (in inches) are consecutive odd integers, we can express each side as:

x = length of side 1(odd integer)

x + 2 = length of side 2

x + 4 = length of side 3

x + 6 = length of side 4

If the perimeter of the quadrilateral is 120 inches, then the sum of the four sides is equal to 120 inches.

x + (x + 2) + (x + 4) + (x + 6) = 120

Simplifying and solving for x.

4x + 12 = 120

4x = 108

x = 27

Substitute the value of x on the expression for the length of the 4th side(longest side).

longest side = x + 6 = 27 + 6

longest side = 33 inches

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Answer:

x+21/2.

Step-by-step explanation:

3/4(3x+6)-1/4(5x-24).

=9x/4-5x/4+9/2+6.

=x+21/2

Answer:

1 : 25.

Step-by-step explanation:

24 : 600

= 24/24 : 600/24

= 1 : 25.

Answer: I think it's 7.8.

Answer:

7.8

Explanation:

This number is irrational because it does not terminate.

Terminate

decimal that is expressed in finite figures in which all figures to the right are zero.

A full cycle, if the pendulum is 10 cm, is 0.6 seconds long. A full cycle, if the pendulum is 20 cm, is 0.9 seconds long. A pendulum that takes 2 seconds for one full cycle is 100 cm long.

Given,

The time t in seconds for a swinging pendulum to complete one full cycle is given by the function t as,

t = 0.2 √I

Here, l is the length of the pendulum in centimeters.

For the first part, two lengths are given for the pendulum is given

We can obtain the value of t by substituting the value of l

This implies,

For l =  10 cm

t =  0.2 √10 = 0.632 = 0.6 seconds

For l =  20 cm

t =  0.2 √20 = 0.894 = 0.9 seconds

For the second part, time is given

We can obtain the value of l by substituting the value of t

This implies,

For t = 2 seconds

l = t² / (0.2)² = t² / 0.04 = 2² / 0.04 = 4 / 0.04 = 100 cm

Therefore, A full cycle is 0.6 seconds long if the pendulum is 10 cm long, 0.9 seconds long if the pendulum is 20 cm long, and 100 cm long if the pendulum takes 2 seconds to complete one full cycle.

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Answer:

[tex] \sqrt[5]{x } = - 2 = - 35[/tex]

Answer:

visit a nearby farmer ask him about farming such as things to be considered, possible disease, benefits, challenges etc. prepare a short report and present

[tex]\displaystyle\\Answer:\ y=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

(6,0)    (9,1)

[tex]\displaystyle\\The\ slope=\frac{1-0}{9-6} \\\\The\ slope=\frac{1}{3}[/tex]

(0,-2)

[tex]\displaystyle\\y=\frac{1}{3} x+b\\-2=\frac{1}{3}(0)+b\\ -2=0+b\\\\-2=b\\\\Thus,\\\\y=\frac{1}{3} x-2\\\\[/tex]

Answer: The area of Triangle is A = 43.25

Step-by-step explanation:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3 [tex]s^{2}[/tex]* s = √3/4([tex]s^{2}[/tex])

Define Area of Triangle:

In an equilateral triangle, median, angle bisector and altitude for all sides are all the same and are the lines of symmetry of the equilateral triangle. The area of an equilateral triangle is √3/4([tex]s^{2}[/tex]) . The perimeter of an equilateral triangle is 3s.

So, we can write,

A = √3/4([tex]s^{2}[/tex])

It means, A = Area of the Triangle

S = length of Triangle = 10inches.

A = √3/4([tex]s^{2}[/tex])

A = √3/4([tex]10^{2}[/tex])

A= √3/4*100

A = 1.73/4*100

A = 0.4325*100

A = 43.25

The area of Triangle is A = 43.25

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[tex](4 \times 1) + (4 \times \frac{1}{1000}) \\ (4) + ( \frac{4}{1000} ) \\ 4 + \frac{1}{250 \\} \\ \frac{1000 + 1}{250 } \\ \frac{1001}{250} \\ [/tex]

I guess this is the answer

Based on the given parameters, the value of the polynomial function f(8) is -4

Polynomials are mathematical statements that are represented by variables, coefficients and operators

The polynomial function is given as

Polynomial = f(x)

Also, we have the following statement

a remainder of -4 when divided by x-8

To start with, we set the divisor to 0

So, we have

x - 8 = 0

Add 8 to both sides of the equation

So, we have

x = 8

Express as a function

f(x) = f(8)

Set the equation to the remainder

So, we have

f(x) = f(8) = -4

Hence, the value of the polynomial function f(8) is -4

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Answer:first do the exponents thats equal to 9 then times -2 is -16+7 is -11

hope that helps

Step-by-step explanation:

Answer:

-11.

Step-by-step explanation:

7+(-2)•3^2

= 7 - 2*9

= 7 - 18

= -11.

Answer:

The answer is 7

Step-by-step explanation:

The formula you would use is A=bxh

So you would just plug it in

3.5 x 2 which gives you 7

Hope this helps:)

The margin of error is 3.083 min

Margin of Error: The margin of error is the range of error permitted around the sample statistic in order to estimate the population parameter. The margin of error indicates the size of the confidence interval. The breadth of the confidence interval increases with the margin of error.

Sample size, n=24

Sample mean, ¯x=31.5 min

Sample standard deviation, s=7.3 min

Confidence level, c=95%

=0.95

From the given information we can calculate the below-required quantities,

Significance level, α=1−c=1−0.95=0.05

Degrees of freedom, DOF=n−1

=24−1

=23

Now from the t-distribution table,

The value of t (α2, DOF) is,

t (0.025,23) = 2.069  

Hence the margin of error will be,

MOE= t (α2, DOF) × s/√ n

=2.069×7.3/√24

=3.083 min

i. The upper limit of the confidence interval will be,

UL=¯x + MOE=31.5+3.083=34.583

The lower limit of the confidence interval will be,

LL=¯x−MOE

=31.5−3.083

=28.417

Hence, the 95% confidence interval is (28.417,34.583)

(28.417,34.583)

The answer is 28.417,34.583

ii. The required answer is MOE=3.083 min

ii. We have found the 95% confidence interval for the population mean to be (28.417,34.583). This means with 95 % confidence; it can be said that the population mean commute time is between the bounds of the confidence interval.

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