using quadratic formula find xx+5x+5

The number of dimes are 2 and number of nickels are 8 according to the sum and number of coins.

Let the number of dimes be x. The number of nickels will be 4x. Also, as per the known fact, the value of dimes is 0.1 and value of nickels is 0.05. Keeping the values in formula -

0.05x + 0.1×4x = 0.90

0.05x + 0.4x = 0.90

Performing addition on Left Hand Side of the equation

0.45x = 0.9

Rewriting the equation

x = 0.9/0.45

Performing division on Right Hand Side of the equation

x = 2

Number of dimes = 2

Number of nickels = 4×2

Performing multiplication

Number of nickels = 8

Thus, there 2 dimes and 8 nickles.

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Answer:

(x,y)=(-4,-2)

Step-by-step explanation:

a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.

A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.

A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.

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the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

Answer:20

Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20

Hope it helps!

Answer:

$13,724

Step-by-step explanation:

From the above question, we are given the following values:

Principal = P = $12,000

Interest = r = 2.25% = 0.0225

Compounded semi annually = n = 2

Time (t) = 6 years

From the question, we understand that we are to find the total (full) Amount Karen withdrew.

The formula to use to calculate the Total Amount of money given that this is a compound interest question is:

Total(full) Amount = P( 1 + r/n) ^n/t

= $12,000( 1 + 0.0225/2) ^2×6

= $12,000(1.01125)^12

= $13724.093289

Approximately to the nearest cent

≈ $13,724

Therefore, Karen withdrew $13,724 from the account.

Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment

Round to the nearest cent as needed.)

Given

Formula

Substitute the given into the formula

The final balance is ₦2,180.94

Answer:

y=3x+18

Step-by-step explanation:

find the slope of the line with the formula m=(y1-y2)/(x1-x2) =-9-0/-9+6=-9/-3=3

then use the equation (y-y1)= m(x-x1) where you use slope m=3 and one of the points (y-0)=3(x+6), y=3x+18

Answer:

hey your answer is (m1 = 1)

© iCalculator: Read more at: https://math.icalculator.info/ratio-calculators.html

glad to help!

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

First you want to multiply -7 and -8. after you do that you'll get your answer of 56 and you can check your answer by doing 56/-7 which equals -8.

Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.

Answer:2(x-3)2

Step-by-step explanation:

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer:

The gradient of the parallel line is -2.

Step-by-step explanation:

Parallel lines have the same gradient.

We find the gradient of the given line by solving the equation for y.

2x + y = 4

Subtract 2x from both sides.

y = -2x + 4

The equation is now written in the y = mx + b, where m is the gradient.

The gradient of the given line is -2.

The gradient of the parallel line is -2.

The given point is (3,2).

The transformation is a rotation 90° clockwise around the point (0,1).

The rule for this transformation would be

So, the transformation would be

Therefore, the final position of the given point is (3,-3).

the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

half life = 12.4 hours

initial amount = 746g

time elapsed = 62 hours

Using the half-life formula:

Substitute for the values:

Hence, the amount of potassium-42 remaining after 62 hours is approximately 23.31 grams (option B)

Answer:

At Srinagar, starting at 9 a.m. on a certain day, snow began to fall at a rate of 114 inches every two hours until 3 p.m. If there was already 214 inches of snow on the ground at 9 a.m., how many inches of snow was on the ground at 3 p.m. that day? 334 (b) 6 (c) 7 (d) 712

At the same rate, 13 inches of snow would fall after 6.5 hours.

Inches of snow after 2 hours = 4 inches

Rate of snow fall = Amount of snow fall / time taken

Rate of snow fall = 4 / 2 = 2 inches per hour

amount of snow fall after 6.5 hours will be :

Amount of snowfall = Rate × time

Amount of snow fall = 2 × 6.5

Amount of snow fall = 13 inches of snow.

This is your correct answer

Answer:

x=4200

Step-by-step explanation:

10x=42000

x=4200

The sets of vectors which are linearly independent from the given vectors are given by,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

To determine if a set of vectors is linearly independent,

If any vector in the set can be expressed as a linear combination of the other vectors in the set.

Let's analyze each set of vectors,

A. [ 1 -6 ], [ 9 1 ]

The second vector can be expressed as a linear combination of the first vector: 9 × [ 1 -6 ] = [ 9 -54 ].

Therefore, the vectors are linearly dependent.

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

There is no obvious linear relationship between these vectors.

To determine if they are linearly independent, we can set up a system of equations and solve for the coefficients.

a × [ 4 -8 6 ] + b × [ -9 -4 -3 ] + c × [ 13 -4 9 ] = [ 0 0 0 ]

Solving this system of equations,

Find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

C. [ 1 -6 ], [ 9 1 ]

This set of vectors is the same as set A, so the vectors are linearly dependent.

D. [ 0 0 ], [ 4 3 ]

The first vector is the zero vector, which is always linearly dependent. Therefore, the vectors are linearly dependent.

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

There is no obvious linear relationship between these vectors. We can set up a system of equations and solve for the coefficients:

a × [ 9 3 0 ] + b × [ -6 5 0 ] + c× [ -2 -7 0 ] = [ 0 0 0 ]

Solving this system of equations,

find that a = b = c = 0 is the only solution.

Therefore, the vectors are linearly independent.

Therefore, based on the analysis the sets of vectors that are linearly independent are,

B. [ 4 -8 6 ], [ -9 -4 -3 ], [ 13 -4 9 ]

E. [ 9 3 0 ], [ -6 5 0 ], [ -2 -7 0 ]

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The structure that contains approximately 200 million axons is the corpus callosum -option b. The corpus callosum is responsible for connecting the two hemispheres of the brain, allowing communication and coordination between them.

The brain is divided into two hemispheres, the left and the right, which are responsible for different functions. The corpus callosum is a thick band of nerve fibers located deep in the brain and serves as the main pathway for communication between the two hemispheres. It consists of approximately 200 million axons, which are long, thread-like structures that transmit signals between neurons.

The corpus callosum enables the transfer of information, such as sensory input and motor commands, between the left and right hemispheres of the brain. This integration of information is crucial for coordinated movement, cognitive processes, and sensory perception.

By allowing the hemispheres to communicate, the corpus callosum ensures that both sides of the brain work together harmoniously to perform complex tasks. It plays a vital role in maintaining brain function and is essential for normal brain development and functioning.

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The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

\(c = \sqrt{a^2 +b^2} = \sqrt{8^2 + 15^2} = 17 km\)

For the 2nd river the displacement is

\(c = \sqrt{a^2 + b^2 - 2abcostheta}\)   θ = 120°

\(c = \sqrt{a^2 - b^2 - 2ab cos(120)} \\c = \sqrt{(8^2 + 15^2 - (2*8*15cos(120))} \\c = \sqrt{289 - 240 cos(120)} \\c = \sqrt{289- (-120)} \\c = \sqrt{409}\\ c = 20.22 km\)

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

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The inverse Laplace transform of the function i(s) = (β^2)/(s^2 + β^2) is given by f(t) = β sin(βt).

The Laplace transform is a mathematical technique used to solve differential equations by transforming them from the time domain to the frequency domain. The inverse Laplace transform is then used to transform the solution back from the frequency domain to the time domain.

In this case, the Laplace transform of the function i(t) is given by I(s) = β^2/(s^2 + β^2). To find the inverse Laplace transform, we use the partial fraction decomposition technique to break down the function into simpler terms.

We can rewrite I(s) as I(s) = β^2/[(s + iβ)(s - iβ)]. Using partial fraction decomposition, we can express I(s) as I(s) = A/(s + iβ) + B/(s - iβ), where A and B are constants to be determined.

Solving for A and B, we get A = B = β/2i. We can now use the inverse Laplace transform table to find the inverse Laplace transform of each term.

The inverse Laplace transform of A/(s + iβ) is β/2 e^(-iβt), and the inverse Laplace transform of B/(s - iβ) is β/2 e^(iβt). Adding these two terms together gives us the final solution of f(t) = β sin(βt).

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Answer:

xv^2−6x=0

Step-by-step explanation:

Answer:

The solution of the equation is (3,1)

Step-by-step explanation:

Hope it helps:)

Answer:

see explanation

Step-by-step explanation:

the standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )

(1)

(2x + 5)(x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

2x(x + 1) + 5(x + 1) ← distribute parenthesis

= 2x² + 2x + 5x + 5 ← collect like terms

= 2x² + 7x + 5 ← in standard form (a = 2, b = 7, c = 5 )

(2)

(x - 2)(x + 2)

= x(x + 2) - 2(x + 2) ← distribute parenthesis

= x² + 2x - 2x - 4 ← collect like terms

= x² - 4 ← in standard form (a = 1, b = 0, c = - 4 )

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

Answer:

x = 2.2

Step-by-step explanation:

-0.45x + 0.33 = -0.66

-0.45x = -0.99

x = 2.2

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Answer: -18

Step-by-step explanation:

Let the number be represented by x.

If the sum of a number and seven is doubled, the result is four less than the number. The expression would be

2(x + 7) = x - 4

We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes

2x + 14 = x - 4

Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes

2x + 14 - 14 - x =x - x - 4 - 14

x = - 18

Answer:

-22

Step-by-step explanation:

The result is eight less than the number means that

the result = number - 8

( x + 7 ) * 2 = x - 8

=> 2x + 14 = x - 8

=> x = -22

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

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