Find the x and y intercepts of f(x) = 2x² + 7x - 9.
A. (1, 0); (-9/2, 0) and (0, -9)
B. (-1,0); (9/2,0) and (0-9)
C. (0, 1); (0, -9/2) and (-9, 0)
D. (1, 0); (-4, 0) and (0, -9)
O A
OB
O C
OD

The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

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We will use conversion factors

1 hour = 60 minutes

We need to make sure to put them so the units cancel

We also know that 1,61 km = 1 mi

1.81 km 60 min 1 mi

---------- * ----------- * ---------------

min 1 hr 1 . 61 km

67.45341615

Rounding to the nearest hundredth

67.48 miles/ hr

The absolute value of 7 - 5i is sqrt(74). To graph the number 7 - 5i, we plot the point (7, -5). This point represents the complex number 7 - 5i.

The complex plane is a coordinate system with the real numbers on the horizontal axis and the imaginary numbers on the vertical axis.

The absolute value of a complex number is its distance from the origin. The absolute value of 7 - 5i can be found using the Pythagorean theorem. The real part of 7 - 5i is 7 and the imaginary part is -5. The distance formula gives us:

|7 - 5i| = sqrt(7^2 + (-5)^2) = sqrt(49 + 25) = sqrt(74)

Therefore, the absolute value of 7 - 5i is sqrt(74).

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Alex needs to buy x / 3 pots to put 3 flowers in each pot.

What is variable ?

A variable is a value or a quantity that can change or take on different values in a mathematical expression or a scientific experiment. In mathematics and computer science, variables are often represented by letters or symbols, such as x, y, z, etc. These letters or symbols are used to represent an unknown value.

The expression to find the number of pots Alex needs to buy to put 3 flowers in each pot is ,

x = 3 flowers per pot

Number of pots = Total number of flowers / Flowers per pot

Number of pots = x / 3

So, Alex needs to buy x / 3 pots to put 3 flowers in each pot.

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x = 3 flowers per pot

Number of pots = Total number of flowers / Flowers per pot

Number of pots = x / 3

So, Alex needs to buy x / 3 pots to put 3 flowers in each pot.

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

Answer:

A = 4

B = 5

C = 9

ABC + ACB = CBA is then

459 + 495 = 954

Step-by-step explanation:

Working with

ABC + ACB = BCA,

There seems to be no feasible solution, but upon checking online, the correct question was obtained to be

ABC + ACB = CBA,

where A, B and C represent different digits

A B C +

A C B

C B A

So, for the units column

C + B = A

or

C + B = 10 + A

For the tens column

There are four possibilities

B + C = B

OR

1 + B + C = B

OR

B + C = 10 + B

OR

1 + B + C = 10 + B

Checking the equations one at a time

- If B + C = B, then C = 0

If C = 0, then units column equation 1, C + B = A, will not work because A, B, and C must stand for three different digits and B ≠ A.

If C = 0, then units column equation 2, C + B = 10 + A, will not work because B must stand for a single digit, B ≠ 10 + A

Therefore, tens column equation 1, B + C = B is not valid.

- If 1 + B + C = B, then C = -1

C must be a positive integer.

Therefore, tens column equation 2, 1 + B + C = B is not valid.

- If B + C = 10 + B

C cannot be equal to 10, as it is given that C is a single digit number.

Therefore, tens column equation 3, B + C = 10 + B, is not valid.

- If 1 + B + C = 10 + B

C = 9

Hence, this is the valid equation.

Our equation becomes

A B 9 +

A 9 B

9 B A

For the hundred's column, there is only one possibility.

Hundred's column equation 1:

since C is an odd number, the equation for the hundred's column is:

1 + A + A = C

1 + A + A = 9

therefore, A = 4

Our equation becomes

4 B 9 +

4 9 B

9 B 4

Solve for B using units column equation 2:

C + B = 10 + A

9 + B = 10 + 4

B = 5

Our final equation is then

4 5 9 +

4 9 5

9 5 4

Hope this Helps!!!

The result of the expression given is. -9.6

Fractions are written as a ratio of two integers. Given the expression below;

[−12⋅4/7]⋅[−14⋅(−0.1)]

Expand to have:

[−12⋅4/7]⋅[−14⋅(−0.1)] =. -48/7 * 1.4

[−12⋅4/7]⋅[−14⋅(−0.1)] = (-48 *1.4)/7

[−12⋅4/7]⋅[−14⋅(−0.1)] = -67.2/7

[−12⋅4/7]⋅[−14⋅(−0.1)] = -9.6

Hence the result of the expression given is. -9.6

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Answer:

A spehere

Step-by-step explanation:

A sphere only made up of a curved surface

on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object

To solve the first equation, f(x) = x^2 - 7x^2 + 2x + 9 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, the equation is x^2 - 7x^2 + 2x + 9 = 0, so a = 1, b = -7, and c = 2.

Plugging in these values into the quadratic formula, we have:

x = (-(-7) ± √((-7)^2 - 4(1)(2))) / (2(1))

Simplifying further:

x = (7 ± √(49 - 8)) / 2

x = (7 ± √41) / 2

Now, let's approximate the roots up to 4 significant digits:

x ≈ (7 + √41) / 2 ≈ 6.7053

x ≈ (7 - √41) / 2 ≈ 1.3259

Therefore, the roots of the equation f(x) = 0 are approximately x = 6.7053 and x = 1.3259.

For the second equation, x^2 + 2x + 4 = 0, we can also use the quadratic formula. In this case, a = 1, b = 2, and c = 4.

Applying the quadratic formula:

x = (-2 ± √(2^2 - 4(1)(4))) / (2(1))

x = (-2 ± √(4 - 16)) / 2

x = (-2 ± √(-12)) / 2

Since the term under the square root is negative, we have complex roots. Simplifying further:

x = (-2 ± √(12)i) / 2

x = -1 ± √3i

Therefore, the roots of the equation x^2 + 2x + 4 = 0 are approximately x = -1 + √3i and x = -1 - √3i.

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The formal charge on the bromine atom in the given structure is zero, indicating that it is formally neutral.

To determine the formal charge on an atom, we compare the number of valence electrons the atom should have (based on its position in the periodic table) with the number of electrons it actually has in the structure. The formula to calculate the formal charge is as follows:

Formal Charge = Valence Electrons - Lone Pair Electrons - 1/2 * Bonding Electrons

In the given structure, if we count the valence electrons on the bromine atom, we find that it has 7 valence electrons. Looking at the structure, we can see that bromine is surrounded by three bonds and one lone pair of electrons. Each bond contributes two electrons, and the lone pair contributes two electrons as well. Plugging these values into the formal charge formula, we get:

Formal Charge = 7 - 2 - 1/2 * 6 = 7 - 2 - 3 = 2 - 3 = -1

However, this formal charge of -1 does not accurately represent the bromine atom in the given structure. In reality, the bromine atom has an expanded octet, meaning it can accommodate more than eight valence electrons. The formal charge of -1 suggests that the bromine atom has an extra electron, which is not the case in this structure. Therefore, the more accurate formal charge for the bromine atom is zero, indicating that it is formally neutral.

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Yes, the given function f(x) = -10x is a polynomial function. The degree of a polynomial function is the highest exponent of the variable. In this case, the highest exponent of x is 1, so the degree of f(x) is 1.

The leading coefficient of a polynomial function is the coefficient of the term with the highest exponent. In this case, the coefficient of the x term is -10, so the leading coefficient of f(x) is -10.

Based on the degree, we can classify the type of function. A polynomial function with degree 1 is called a linear function. Therefore, f(x) = -10x is a linear function.

To summarize, the given function f(x) = -10x is a polynomial function with a degree of 1. The leading coefficient is -10, and it is classified as a linear function.

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The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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The z-score is a standardized score that tells us how many standard deviations a data point is away from the mean. It is calculated as:

z = (x - mu) / sigma

where x is the raw score, mu is the mean, and sigma is the standard deviation.

For a normally distributed set of data with a mean of 10 and a standard deviation of 3, the z-score for each of the following raw scores would be:

x = 7

z = (7 - 10) / 3 = -1

The z-score for a raw score of 7 is -1.

x = 12

z = (12 - 10) / 3 = 0.67

The z-score for a raw score of 12 is 0.67.

x = 16

z = (16 - 10) / 3 = 2

The z-score for a raw score of 16 is 2.

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Step-by-step explanation:

to find the area you first need to find the area of the square which is

\(14 \times 14 = {196m}^{2} \)

then to find the area of the top triangle its

\(14 \times 14 \div 2 = {98m}^{2} \)

then to find the area of the bottom triangle its

\((38 - 28) \times 14 -( (38 - 28) \times (14 \div 2)) = {70m}^{2} \)

then add all of them together and its 364 m squared.

Answer:

He can make a cake that serves 24 people.

Step-by-step explanation:

Gareth has 13 eggs, but only 2 are needed for 4 servings. 13 divided by 2 equals 6.5. We can't serve half of a person, so there will be a large cake equivalent to the size of 6 small cakes. Since 1 small cake serves 4 people, and Gareth's large cake is 6 times the size of a small cake, Gareth's cake can serve a total of 24 people. Now that is one big cake!

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After  converting 2.340 x 10⁴ to decimal format we will be getting 0.000234. So, the correct answer choice is options (C) which is  0.000234.

In order to convert the given epression i.e. 2.340 x 10⁴ to decimal format, we are required to move the decimal point four places to the left since the exponent is negative.

In order to find the correct decimal format, starting with 2.340, we move the decimal point four places to the left, then the value we will be getting is equal to 0.000234

Therefore, from the above calculation we can draw the inference that the correct answer is option C) i.e 0.000234.

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For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

what are you trying to ask?

Answer:

ummm

Step-by-step explanation:

what's that???

quiet didnt get it lol¿

Answer:

15

Step-by-step explanation:

Answer:

\(\large \boxed{\sf \ \ g(x)=3|x| \ \ }\)

Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

g(x)=3*|x|

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

$67 - $11=  $56 Price of Concert Ticket

Step-by-step explanation:

If you subtract the Total amount of money Mr. Lee had at the begining of the concert and after he bought a ticket you will get the price of the ticket.

Total Money - After Ticket = Price of Ticket

Imput the Variables....

(Total Money) $67 - $11 (After Ticket) = $56 (Price of Ticket)

Answer:

x = 12 6/7º

6x = 77 1/7º

Step-by-step explanation:

complementary angles total 90º

x + 6x = 90

7x = 90

Divide both sides by 7

x = 12 6/7º

6x = 77 1/7º

The correct definition for the term "Circular flow diagram" is a diagram that pictures the economy as consisting of four main sectors that interact with each other through different markets, and in which financial institutions help to facilitate some of the interactions.

A circular flow diagram is a visual representation of how money, goods, and services flow within an economy. It illustrates the interconnectedness of various sectors in the economy, including households, firms, government, and the foreign sector. The diagram shows the flow of money and goods between these sectors through different markets such as the product market and the factor market. It demonstrates how households supply factors of production (such as labor) to firms in exchange for income, and how firms supply goods and services to households in exchange for revenue. Additionally, the circular flow diagram highlights the role of financial institutions in facilitating the flow of funds between sectors, such as banks providing loans to businesses. Overall, the circular flow diagram provides a simplified representation of the economic interactions and relationships between different sectors in an economy.

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Answer:

-8 and -18

Step-by-step explanation:

To find the two points we have to add 5 to -13 and subtract 5 from -13.

5-13=-8

-13-5=-18

Answer:

4(v+5)

Step-by-step explanation:

All you need to do is to divide both terms by 4.