Sydney is deciding between two parking garages. Garage A charges an initial fee of
$12 to park plus $4 per hour. Garage B charges an initial fee of $7 to park plus $5 per
hour. Let A represent the amount Garage A would charge if Sydney parks for t hours,
and let B represent the amount Garage B would charge if Sydney parks for t hours.
Write an equation for each situation, in terms of t, and determine the hours parked,
t, that would make the cost of each garage the same.

Yes, the equation 9x^2 = 1 has zeroes at ±1/3. The solution is obtained by solving the algebraic equation.

What is algebraic equation?

The term "algebraic expression" refers to a mathematical expression that contains variables, constants, and algebraic operations (addition, subtraction, etc.). The expression must have an equals to sign in order to satisfy the algebraic equation.

We are given 9x^2 = 1

In order to find its roots, we need to find the value of x which are the zeroes for the equation.

So,

⇒9x^2 = 1

⇒x^2 = 1/9

⇒x = √1/9

⇒x = ±1/3

We are given 3x-1 = 0

So,

⇒ 3x = 1

⇒ x = 1/3

So, the given equation does not have its zeroes at ±1/3.

Hence, the equation 9x^2 = 1 has zeroes at ±1/3.

Learn more about algebraic equation from the given link

https://brainly.com/question/24875240

#SPJ1

The third part of the question is not complete as the complete equation is not visible.

The hypotenuse square in a right-angled triangle is equal to the sum of the squares of the two shorter sides, according to the Pythagorean theorem.

Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated numerous times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.

The Pythagorean relation holds true when Euclidean space is represented by a Cartesian coordinate system in analytical geometry: the squared distance between two points equals the sum of squares of the difference in each coordinate between the points.

[tex]c=\sqrt{ a2+b2}= \sqrt{ 3.92+82}=8.9[/tex]

To know more about Pythagoras here

https://brainly.com/question/654982

#SPJ1

Susan will earn $24 of interest in 4 years.

Simple interest is the borrowing amount added only to the principal amount.

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Susan has $60 in a savings account.

The interest rate is 10% per year, and it's not compounded.

In 4 years,

     S.I. = P x T x R / 100

     S.I. = 60 x 4 x 10 / 100

     S.I. = $24

The earned amount in 4 years is $74.

Therefore, the earned amount in 4 years is $74.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ1

Answer:

b =0nand a =0 simple beacaes3 0-0=0and 0+0=0

Answer:  g o f = {(2,2), (3,4), (4,3), (1,3)}

Step-by-step explanation: First we'll find f(x):-

f(1) = 2

f(3) =3

f(2) =4

f(4) =1

Now we'll find g(x):-

g(2) = 2

g(3) = 4

g(4) = 3

g(1) = 3

Therefore, gof(x) = {(2,2),(3,4),(4,3),(1,3)}

Read more about it:

https://brainly.in/question/20877577

(gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

To find the composite function (gof)(x), we first apply the function g to the input x, then apply the function f to the result.

For example, if we want to find (gof)(2), we first find g(2) = 2, then find f(2) = 4, so (gof)(2) = f(g(2)) = f(2) = 4.

So to find (gof)(x) we have to substitute the value of x in function g, then the output of function g in function f.

For the given set of functions f and g, the composite function (gof)(x) is:

(gof)(1) = f(g(1)) = f(3) = 3

(gof)(2) = f(g(2)) = f(2) = 4

(gof)(3) = f(g(3)) = f(4) = 3

(gof)(4) = f(g(4)) = f(3) = 3

So (gof)(x) is a function that takes the input x and returns 3 if x = 1, 2, or 4, and 4 if x = 3.

To more learn about (gof)(x):

brainly.com/question/29192796

The 4 properties of multiplication are Associative Property, Commutative Property, Distributive Property, and Identity Property.

The properties of multiplication are particular rules that are used while multiplying numbers. These properties help simplify expressions easily and, hence, have a significant role in solving all kinds of mathematical expressions, whether algebraic expressions, fractions, or integers.

Associative Property: (P × Q) × R = P × (Q × R)

For example, (4 × 5) × 3 = 4 × (5 × 3) = 60.

Commutative Property: P × Q = Q × P

For example, 3 × 4 × 2 = 2 × 3 × 4 = 24.

Distributive Property: P(Q + R) = PQ + PR; P(Q - R) = PQ - PR

For example, 3(2 + 4) = (3 × 2) + (3 × 4) = 6 + 12 = 18.

Identity Property: P × 1 = P

For example, 4 × 1 = 4, or 1 × 27 = 27.

To know more about properties of multiplication, here

https://brainly.com/question/386524

#SPJ4

The value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output.

Instead of y, it is typical to name functions f(x) or g(x). f(2) instructs us to calculate the value of our function when x is equal to 2.

We have given to find ƒ(g(3))

when ƒ(x) = x³ + 5x² − 2x − 1

and g(x) = x² – 4

When g(3) = (3)² – 4

= 9 - 4

= 5

For

ƒ(g(3)) = (5)³ + 5(5)² − 2(5) − 1

= 125 + 125 - 10 - 1

= 239

Thus, the value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

Learn more about function

https://brainly.com/question/12431044

#SPJ1

Every function has an inverse, but not every inverse will be a function.

A function takes a starting value, performs some operation on this value, and creates an output answer.

The inverse function takes the output answer, performs some operation on it, and arrives back at the original function's starting value.

An inverse relation is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

A function is a one-to-one function if and only if each second element corresponds to one and only one first element.

Example:

consider the inverse of the function an f(x)=2x-4.

y=2x-4

x=y-4

x+4=y

f⁻¹(y)=x+4

To know more about inverse function:

https://brainly.com/question/19425567

#SPJ4

According to the equation, the weight of box in ounces is 64.

Firstly let us represent the weight of box with w. Now, the formula to be used for calculation of the weight of box is -

The weight of box in ounces = weight of box in pounds × number of ounces in one pound/one

Keeping the values in formula to find the value of weight of box in ounces.

The weight of box in ounces = 4 × 16/1

Performing multiplication and division on Right Hand Side of the equation to find the weight of box in ounces

The weight of box in ounces = 64 ounces

Thus, the weight of box in ounces is 64.

Learn more about pounds -

https://brainly.com/question/10618309

#SPJ4

The possible values of k for the quadratic equation 9x² - 5kx + 1 = 0 has equal roots are 6/5 and -6/5.

The standard form of an quadratic equation is, ax² + bx + c = 0, a ≠ 0 and a,b,c --> constants. The quadratic formula for solution of above equation is, x = ( - b ±√b² - 4ac)/2a , where Discriminate, D is equals to b² - 4ac . We have an quadratic equation, 9x² - 5kx + 1 = 0 --(*)

Step 1 : Determining the discriminant of the quadratic equation : After comparing the equation (*) with standard one , a = 9 , b = - 5k and c = k . So, discriminate formula , D = b² - 4ac

=> D = (- 5k)² - 4×9×1

=> D = 25 k² - 36

Step 2: Determining the values of k : We have equation (*) has equal roots then according to the nature of the roots of an quadratic equation When the value of discriminant, D = 0, then the quadratic equation has real and equal roots.

So, 25 k²- 36 = 0

=> 25 k² = 36

=> k² = 36/25

=> k = ±√36/25

=> k = ± 6/5

Hence, the values of k are ± 6/5.

To learn more about Discriminate formula, refer:

https://brainly.com/question/2507588

#SPJ4

Complete question:

For what values of k is the quadratic equation 9x² - 5kx + k = 0, has equal roots?

A data set which could be represented by the boxplot shown include the following: A. {6, 6, 8, 8, 9, 12, 13, 13, 14}.

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided above, the five-number summary for the given data set include the following:

For the median, we have:

Median = 6, 6, 8, 8, 9, 12, 13, 13, 14

Median = 9.

In conclusion, we can logically deduce that the median of the given data set is equal to 9 while the first quartile is 7 and the third quartile is 13.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

The solution to y+6 =- 3y-26 is 8.

The solution to the equation y+6 =- 3y-26 is to solve for y. This can be done by rearranging the equation and combining like terms. The equation can be rearranged to -3y-y+6 = -26.

Combining the like terms yields -4y+6 = -26.

To solve for y, subtract 6 from both sides.

These yields -4y = -32.

Finally, divide both sides by -4 to obtain y = 8.

Therefore, the solution to the equation y+6 =- 3y-26 is y = 8.

Understanding the solution to an equation is a critical part of algebra and can be used to solve a variety of problems. There are many methods for solving equations, and it is important to understand each type and how to employ them appropriately. Solving equations like y+6 =- 3y-26 requires rearranging the equation and combining like terms to obtain the solution. Once the equation is in a simpler form, the solution can be found by applying basic math operations.

Learn more about equations at

https://brainly.com/question/4056110

#SPJ4

The range of a set of numbers is the difference between the maximum and minimum values in the set.  X range is a type of range chart used to identify patterns in data points over a period of time.

The Range of a dataset is determined by subtracting the smallest value from the largest value in that dataset, providing an indication of the total spread of the data points. Range is a useful metric for understanding the variability of data points and for comparing different datasets.

X Range is a type of range chart used to identify patterns in data points over a period of time. It is a graphical representation of the range of data points and can help to identify trends and seasonal patterns. X Range charts are particularly useful for understanding how data points fluctuate over time, and can be used to identify any outliers in the data that may require further investigation.

X Range charts can be used to identify any clusters of data points, and to compare different data sets. X Range charts are also useful for understanding the overall volatility of a dataset and for making predictions about future data points.

To know more about Range visit:

https://brainly.com/question/28135761

#SPJ4

Answer:

1. The total price you pay is $162.18

2. You earn $17,500

3. You earn $28.40

Step-by-step explanation:

1. 153 times 6% or 153 times 0.06 = 9.18

153 + 9.18 = 162.18

2. 350,000 times 5% or 350,000 times 0.05 = 17500

3. 710 times 4% or 710 times 0.04 = 28.4

The value of the expression is 32.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

50% of 88 - 33(1/3)% of 36

This can be written as,

= 50/100 x 88 - (100/3)/100 x 36

= 44 - 12

= 32

Thus,

The value is 32.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The Nia's average daily balance in this billing cycle was equals to the $432.85. So, correct choice is option(D).

Nia wants to check whether the finance charge applied in her credit card statement is correct or not. For this she made a table to do this calculation. The billing cycle is 31 days is present in above figure. We have to calculate the Nia's average daily balance in billing. Average daily balance of Nid is represented by:

Average mean = (Days x Balance)/Total Number of days

So, Days × balance = (745.0 x 7) + (1555. 15 × 10) + (245.20 × 7) + (90.75 × 7)

= 5215 + 5851.5 +1716.4 + 635.25

= $13418.15

Total number of days = 7+ 10 + 7 + 7 = 31 days

Hence, the Average = 13418.15/31

= $432.84

Hence, required average daily balance is $432.84.

To learn more about Average, refer:

https://brainly.com/question/130657

#SPJ4

Answer: 30 percent of 85 is 25.5

Answer:

the answer is 25.5

Step-by-step explanation:

this is because 85 in our question is equivalent to thus you just need to cross multiply

The fraction of registered voter that did not participate was 2/5

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

To solve this exercise we have to perform a mathematical operation with fractions:

Information about the problem:

Calculating the fraction of the registered voter that did not vote we get:

No. did not participate = Total - Registered voter participated

No. did not participate = 1 - 3/5

No. did not participate = (5 - 3) /5

No. did not participate = 2/5

Learn more about fraction at: brainly.com/question/11562149

#SPJ4

The future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

The formula to use in this case is FV = PV(1 + r/n)^nt, where FV is the future value, PV is the present value, r is the nominal interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given the information in the problem, we know that:

PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Thus, the future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

To learn more about future value,

Visit; brainly.com/question/14860893

#SPJ4

PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Answer:

20%

Step-by-step explanation:

2+8=10

10*10=100

2*10=2

Please can you give me brainliest?

To solve the given system of equations using elimination method following steps need to follow:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

As given in the question,

Steps required to solve the given system of equations by elimination method with multiplication:

To eliminate x-term equate the coefficient of x in opposite sign.

4x + 3y = 1  __(1)

3x + 4y = 1  __(2)

1. Multiply 3 to (1) and -4 to (2)  to eliminate the x-term.

12x + 9y = 3  __(3)

-12x - 16y = -4   __(4)

2. Now add (4) from (3)  and eliminate x-term.

12x + 9y = 3  

-12x - 16y = -4

0x -7y = -1

⇒ y = 1 / 7.

Therefore, solution of the system of equation using elimination method with multiplication is:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

The above question is incomplete , the complete question is :

How do you solve systems of equations by elimination method with multiplication?.

Learn more about system of equations here

brainly.com/question/12895249

#SPJ4

Answer:

81 Bead in total

Ratio: 18:63

Step-by-step explanation:

2*9 = 18

7*9 = 63

Answer:

A

Step-by-step explanation:make brainiest

The four basic algebra identities are as follows.

Algebraic expressions are mathematical expressions that result when we perform operations such as addition, subtraction, multiplication, and division on variables and constants. For example, let's say James and Natalie were playing with matches and wanted to create a pattern of numbers in matches. James played four games and formed No. 4. Natalie added three more games and two he formed a pattern of four. They realized they could add 3 matches to each round to get an extra '4'. From this, they concluded that, in general, 4 + 3 (n-1) double crochet stitches are required to create n 4 patterns. Here 4+ 3(n-1) is called an algebraic expression.

Algebraic identities are an important set of formulas in mathematics. They form the basis of algebra and help us perform calculations in simple and easy steps. Certain algebraic problems require a number of mathematical steps to be performed in order to arrive at an answer. Here, algebraic identities can be used to perform calculations without additional steps.

An algebraic identity is an algebraic equation in which the value of the left side of the equation is exactly equal to the value of the right side of the equation. The four basic algebra identities are as follows.

Learn more about algebraic Identities:

https://brainly.com/question/30283894

#SPJ4

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

A right triangle's hypotenuse is always the side that faces away from the right angle. It is the right triangle's longest side. The adjacent and opposing sides are the other two sides. These sides have labels that relate to angles. From a particular angle, the other side is across.

The non-hypotenuse side next to a specific angle is referred to as the neighboring side. Sine, cosine, and tangent are three trigonometric functions that are defined by the terms hypotenuse, opposite, and adjacent.

To learn more about trigonometric functions link is here

brainly.com/question/14434745

#SPJ4

The complete question is:

What is the length of the side opposite the right angle?

For Trigonometric ratios, the values of sin, cos, and tan are defined by the ratio of sides of a right-angled triangle. The cosine of an acute angle in a right triangle is calculated using trigonometry.

By dividing the measurements of the side that it is adjacent to by the hypotenuse of the triangle.

The neighboring  base-to-hypotenuse ratio is known as the cos function. It aids in determining the triangle's side lengths regardless of the provided angle.

If the angle between the neighboring side and the hypotenuse of a right triangle is, we can write this using the cos function.

In a right-angled triangle, We calculate their values by the ratio

Cos = Base of the right-angled triangle/ Hypotenuse of the right-angled triangle.

To learn more about Trigonometric ratios visit:

https://brainly.com/question/29166781

#SPJ4

The balance in the account of Jayden after 5 years will be $3,886.27.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,

A = $2,644.93 x (1 + 0.08)⁵

A = $2,644.93 x (1.08)⁵

A = $2,644.93 x 1.469

A = $3,886.27

The balance in the account of Jayden after 5 years will be $3,886.27.

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

Answer: a and c

Step-by-step explanation: