Write an equation of the line that contains
point (3,-1) and is parallel to the equation
y+3x=2.

Answer:

sample response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.

Step-by-step explanation:

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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The removable discontinuity of the function is x-2/(x-2)(x+4).

Given, we have the following functions:

a. x-2/(x-2)(x+4)

separate the terms:

= x-2/x-2 × 1/x+4

cancel the like terms:

= 1 × 1/x+4

hence x-2/(x-2)(x+4) has a removable discontinuity.

A point on the graph that is undefinable or does not fit the remainder of the graph is referred to as a removable discontinuity. A detachable discontinuity can be generated in one of two ways. The function can be defined to have a blip, or it can have a common factor in both the numerator and the denominator.

When the two-sided limit at c exists but isn't equal to f(c), the discontinuity at c is referred to as detachable.

Hence the from the given functions the function which have a removable discontinuity is x-2/(x-2)(x+4)

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Answer: The equivalent expression to Sarah's expression is:

6.25(x + y) + 242.78

This expression takes into account the total number of hours worked by James (x) and Sarah (y) and adds it to the sum of their tips, which is $242.78. The expression multiplies the total number of hours worked by 6.25, which is their hourly wage.

Step-by-step explanation:

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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Answer:

0

Step-by-step explanation:

(1)^2(-1)^2 +(1)(-1) -(-1)^3 -(1)^3

 = 1·1 -1 -(-1) -1

 = 1 - 1 + 1 - 1 = 0

Javier will need approximately 0.825 gallons of paint to cover his mural.  To find out how much paint Javier will need for his mural, we need to set up a proportion using the given information.

First, we can find the total area of the mural by multiplying the width by the height:
15 feet x 22 feet = 330 square feet
Now, we can set up the proportion:
1 gallon of paint / 400 ft2 = x gallons of paint / 330 ft2
We can cross-multiply to solve for x:
400x = 1 gallon * 330 ft2
400x = 330
x = 330/400
x = 0.825
Therefore, Javier will need approximately 0.825 gallons of paint to cover his mural.
It's worth noting that this is an approximation since we're using a fractional amount of a gallon. In reality, Javier would need to purchase a full gallon of paint, which would cover slightly more than 400 ft2. However, this proportion gives us a good estimate of how much paint he will need to complete his project.

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This question has been answered in a secondary question post by the OP.

The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.

It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.

From the complete question, the ending inventory will be:

= $3190 + $2295 + $4420

= $9905

Also, the cost of goods sold will be:

= $2465 + $473 + $2145

= $5083

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Answer:

(x - 1) (x + 2)

Step-by-step explanation:

Use the AC method

Answer: 1 to 5

Step-by-step explanation:

Answer:

Step-by-step explanation: 12 ft just had a test on this

Answer:

5x + 25 <= 200

Step-by-step explanation:

When it says no more than 200, that means that 200 is the max, so what she spends has to be less than or equal to 200.

The price of the bond, with a $1,000 par value, a 6% coupon rate paid semiannually, and 9 years to maturity, when priced to yield 7%, is approximately $902.88.

To calculate the price of a bond, we use the present value formula, which takes into account the bond's future cash flows and the desired yield. The formula for the price of a bond is:

Price = (C / (1 + r/n)) + (\(C / (1 + r/n)^2\)) + ... + (C + Par / (1 + r/n)^n)

Where:

C is the coupon payment,

r is the yield rate,

n is the number of compounding periods per year,

Par is the par value of the bond.

In this case, the bond has a $1,000 par value, a 6% coupon rate paid semiannually (so two coupon payments per year), and 9 years to maturity. The yield is 7% (or 0.07), and the bond is priced to yield 7%.

Using the formula, we can calculate the price of the bond:

Price = (30 / (1 + 0.07/2)) + \((30 / (1 + 0.07/2)^2)\) + ... + (30 + 1000 / (1 + \(0.07/2)^18)\)

     ≈ 902.88

Therefore, the price of the bond, when priced to yield 7%, is approximately $902.88.

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Consider a $1,000 par value bond with a 6% coupon rate paid semiannually, and has 9 years to maturity. What is the price of the bond if it is priced to yield 7%?

Answer:

0.6125 (or 6,125/1,000)

If you need more help, don't hesitate to ask!

I'm here until 2:30!

May I please have brainliest?

Answer:

80%

Step-by-step explanation:

7/8 = 87.5/100

7/10 = 70/100

new equation: 70 is what percent of 87.5

87.5/100=0.875 so 0.875=1% so now we divide 70 by 0.875

70/0.875=80 so 7/10 is 80% of 7/8

hope this helps have a blessed day :^)

Answer:

2^(3)

Step-by-step explanation:

When you have the same base and multiplication is involved, you can add the powers.

The bases are the same, which is 2, so add the powers.

-5 + 8 = 3

So the answer is 2^(3)

Answer:

\(\frac{1}{81}\)

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as \(\frac{1}{3^{4}}\)

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

A rational function graph crosses its horizontal asymptote when there are two vertical asymptotes because the degree of the numerator is less than the degree of the denominator.

When a rational function has two vertical asymptotes, it means that there are two values of x that make the denominator equal to zero, causing the function to become undefined. As x approaches these values, the function approaches positive or negative infinity.

If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is a horizontal line y=0. As x approaches infinity or negative infinity, the function approaches this line. However, because the degree of the numerator is less than the degree of the denominator, the function doesn't approach the line fast enough to stay on one side of it. As a result, the graph will cross the horizontal asymptote at some point.

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The ground do the ropes intersect each other is at 4 ft.

AB and ED are the poles (perfectly vertical). BE and DA are the ropes that cross at C.

F is the point directly below C on the ground (line AE), which is perfectly flat and horizontal.

The vertical poles are part of parallel lines.

As a consequence, triangles ABC and DEC have congruent angles at B and E, and at A and D (alternate interior). Of course, ABC and DEC also have congruent angles at C (vertical angles).

Triangles ABC and DEC are similar, with corresponding sides in the ratio 2:1

\(\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}= \frac{2}{1}\)

In particular,

BC = 2EC and BE = BC + EC = 2EC + EC = 3EC

Right triangles ABE and FCE, with the same angle at E, are also similar, so

\(\frac{AB}{FC}= \frac{BE}{CE}= \frac{3EC}{EC3.1}\) --> AB = 3FC --> \(FC = \frac{AB}{3}= \frac{12 ft}{3} = 4ft\)

The ropes cross 4 ft above the ground.

Hence the answer is the ground do the ropes intersect each other is at 4 ft.

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Answer:

this appears to already be in standard form?

Step-by-step explanation:

standard form has x and y on one side of the =

Answer: X = -4

Step-by-step explanation:

first you need to solve, so do what needs to be done in the equation, which is just multiply and add

147 = 5 - 35x + 2

147= 7 -35x

get rid of the numbers around x, which would be subtracting 7 from both sides

140 = -35x

x = -4

The equation of the given information is y(x) = 5x+10

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

Given that cost of renting for different numbers of hours.

The initial cost, regardless of time, is; $10. then the cost will increase at a rate of $5 per hour that the boat is rented.

Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

y(x) = 5x+10

here linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

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Answer:

alternate exterior

Answer:

=2x+7y+12

Step-by-step explanation:

Answer:

7y+2x+12

Step-by-step explanation:

Answer:

y=(1/2)x +0

Step-by-step explanation:

The perpendicular slope formula is just the opposite reciprocal of the original slope.

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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Answer:

Addition

Step-by-step explanation:

By simple addition we can reduce the no. Of steps involved.

Answer:

Subtracting; x = 3/2, y = 8

Step-by-step explanation:

1. Subtracting them from one another because the 1/2y term matches up.

2. when added together:

8x = 12

x = 3/2

plug the x value into one of the equations:

y = 8