Choose the algebraic expression that describes: 13 less than y.
A. y - 13
B. y + 13
C. 13 + y
D. 13 - y

Answer:

Step-by-step explanation:

1. find the slope (m)

m=y2-y1/x2-x1

m=6-3/-1-2

m=3/-3

m=-1

2. y-y1=m(x-x1)

y-3=-1(x-2)

y-3=-1x+2

y=-1x+2+3

y=-1x+5

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

Answer:

X= -8

Step-by-step explanation:

First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.

Answer: x = - 8

Step-by-step explanation:

The first step in applying the distributive property:

5 (x - 6) + 4 = 7x - 10

5x - 30 + 4 = 7x - 10

The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:

5x - 30 + 4 = 7x - 10

5x - 16 = 7x

The third step is to subtract 5x from 7x:

5x - 16 = 7x

- 16 = 2x

The last step is to divide each side by 2 to isolate the variable, or find x:

- 16/2 = 2x/2

- 8 = x

or x = - 8

I hope I helped and have a great day! ^-^

Answer:

x=360

Step-By-Step Explanation:

x= a+102 + b+168

since a+b is 90,

x= 90+102+168

x= 360

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

Step-by-step explanation:

a+12= 12 added with a

90 = a + b (remeber this)

b+78= 78 added to b

a+120 = a +12+90

b + 168= 90 + b + 168

x= a +120 + b + 168

x= a + b + 120 + 168

x= (a + b) + 288

x= 90 + 288 ( cause we know that a + b = 90)

x = 378

If 27 divided by x is a positive integer , then the four positive values of x are 1, 3, 9 and 27 .

If the value of 27 divided by x is a positive integer, it means that x is a factor of 27.

So , the possible positive values of x are the factors of 27 ,

The values which satisfies the condition that 27 divided by x is a positive integer are :

⇒ 27/1 = 27, and 27 is a positive integer

⇒ 27/3 = 9, and 9 is a positive integer

⇒ 27/9 = 3, and 3 is a positive integer

⇒ 27/27 = 1, and 1 is a positive integer

Therefore, the four positive values of x are 1, 3, 9, and 27.

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The given question is incomplete , the complete question is

x is a positive 27 divided by x is a positive integer. Write the 4 positive values of x .

The relations to a quadrilateral are:

- Two right angles.

- Two acute angles.

- Two supplementary angles.

- Two parallel lines.

- Two perpendicular lines

- A transversal line.

Options A, B, C, E, F, and G are the correct answer.

A quadrilateral is a four side polygon such as:

- Rectangle

- Square

- Parallelograms

- Rhombus

- Trapezoid

We have,

In relation to a quadrilateral.

a)

Two right angles.

If the quadrilateral is a trapezoid it has two right angles.

b)

Two acute angles.

If the quadrilateral is a trapezoid it has two acute angles.

Acute angles mean angles less than 90 degrees.

c)

Two supplementary angles.

If the quadrilateral is a trapezoid it has two supplementary angles.

Supplementary angles are those angles whose sum is 180.

d)

Two complementary angles

A right-angled triangle has two complementary to one another.

This is not a quadrilateral.

e)

Two parallel lines.

If the quadrilateral is a trapezoid it has two acute angles.

f)

Two perpendicular lines

A square and a rectangle have two perpendicular lines.

g)

A transversal line.

If the quadrilateral is a trapezoid it has a transversal line.

Thus,

The relations to a quadrilateral are:

- Two right angles.

- Two acute angles.

- Two supplementary angles.

- Two parallel lines.

- Two perpendicular lines

- A transversal line.

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The complete question.

In relation to the figure (quadrilateral) name the following:

a) Two right angles.

b) Two acute angles.

c) Two supplementary angles.

d) Two complementary angles

e) Two parallel lines.

f) Two perpendicular lines

g) A transversal line.

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

Answer:

$350 < M

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Distribute the 2 to the X and 7

4+2x+14=26

2x+18 =26

minus the 18 from 26

2x = 8

divide 2x and 8 by 2

X= 4

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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Every neighborhood of A contains a point of B and every neighborhood of B contains a point of A, which implies that A=B.

To show that there exists a sequence of rational numbers converging to any real number x, we can use the fact that the rational numbers are dense in the real numbers. This means that between any two real numbers, there exists a rational number.

So, let x be any real number. We can construct a sequence of rational numbers {q_n} such that q_n is the rational number between x-1/n and x+1/n. In other words,

q_n = a/b, where a and b are integers such that x-1/n < a/b < x+1/n and b > n

Then, it can be shown that as n approaches infinity, q_n converges to x. Therefore, there exists a sequence of rational numbers converging to any real number x.

To prove that A=B, we need to show that every neighborhood of A contains a point of B and every neighborhood of B contains a point of A.

First, let's consider any neighborhood of A. Since {a_n} converges to A, we know that there exists some positive integer N such that for all n > N, |a_n - A| < ε/2, where ε is the radius of the neighborhood.

Now, since B is an accumulation point of {a_n : n ∈ J}, we know that there exists some integer j ∈ J such that |a_j - B| < ε/2.

Thus, we have:

|A - B| ≤ |A - a_j| + |a_j - B| < ε/2 + ε/2 = ε

This shows that B is also in the neighborhood of A.

Next, let's consider any neighborhood of B. Since B is an accumulation point of {a_n : n ∈ J}, we know that there exists some positive integer M such that there are infinitely many n ∈ J satisfying |a_n - B| < ε/2.

Now, let n_1, n_2, n_3, ... be a subsequence of {a_n} such that |a_ni - B| < ε/2 for all i ≥ 1.

Since {a_n} converges to A, we know that there exists some positive integer N such that for all n > N, |a_n - A| < ε/2.

Let N' be the maximum of N and n_1, so that for all n > N', we have:

|a_n - A| < ε/2 and |a_n - B| < ε/2

Then, we have:

|A - B| ≤ |A - a_n| + |a_n - B| < ε/2 + ε/2 = ε

This shows that A is also in the neighborhood of B.

Therefore, we have shown that every neighborhood of A contains a point of B and every neighborhood of B contains a point of A, which implies that A=B.

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Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1  We begin by focusing on the first equation, which is:1x−1y=−7.

To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.

The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.

Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.

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Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

D Both pairs of opposite sides are congruent.

B Both pairs of opposite of angles are congruent.

A One pair of parallel sides.

Hope I helped! Hope you make an 100%

-Amelia♥

Answer:

maybe A? B, D, E

Give brainlest if u agree :)

Step-by-step explanation:

A - Parrallelgrams do indeed have 1 pair of parrlell sides, but are not limited to 1. They in fact have 2 sides. If ur instructor is super literal i would put A, if not then technically a parallelogram has 2 pairs of parrallel sides.

B - True. opposite  pairs have the same measure of radians

C - Not true because of B

D - True, sides are same length

E - True, consecutive angles add to 180

Source: https://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms

The correct answer is "decrease by 20 units."Because if the price is increased by 2 units, the demand for the product is expected to decrease by 20 units.

Based on the estimated regression equation Cap Y = 120 - 10X, we can determine the effect of a 2-unit increase in price (X) on the demand for the product (Y).

The coefficient of X in the regression equation (-10) represents the change in demand for the product for each unit change in price. In this case, since the price is increased by 2 units, the change in demand can be calculated by multiplying the coefficient (-10) by the price change (2).

Change in demand = Coefficient of X × Change in price

Change in demand = -10 × 2

Change in demand = -20

Therefore, if the price is increased by 2 units, the demand for the product is expected to decrease by 20 units.

Hence, the correct answer is "decrease by 20 units."

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PART 1

The exponential decay model is given to be:

where a is the initial value and r is the decay rate.

In the question, the initial value is 15,500 and drops at a rate of 3%. This means that we have the following parameters:

Therefore, the exponential model is gotten to be:

PART 2

The graph of the function is shown below:

At x = 8000, we have the time as shown below:

The time will be 21.7 years.

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.

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The number of bicycle  store needs to sell each month to break even is, 55

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A bicycle store costs ​$3850 per month to operate

The store pays an average of ​$75 per bike

The average selling price of each bicycle is ​$145

The number of sells to break even = ?

Suppose, the number of sales is x

So, it can be written as,

For break even condition

75x + 3850 = 145x

145x - 75x  = 3850

70x = 3850

    x = 3850/70

    x =  55

Hence, the number of sales is 55

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Answer:

B. Y= 2x - 4

Step-by-step explanation:

I think, so sorry if wrong

I needes y on its own so I devided the equation by 3

Answer:

81

13.6

Step-by-step explanation:

When rounding 81.23 to the ones place, look at the following spot, the tenths place, to determine whether to round up or down. If the value is 4 or less, round down. If the value is 5 or greater, round up. 2 is less than 4, so round 81.23 to 81.

Since we're looking to round 13.567 to the nearest tenth, look at the value of the number in the hundreths spot. Repeat the same process as above. 6 is greater than 4, so round 13.567 to 13.6.

The convolution of x₅(t) with itself, y(t), is given by: y(t) = te^(-2t), for t ≥ 0, we can simplify the integral by considering different cases.

To solve the convolution of x₅(t) with itself, we can express the convolution integral as follows:

y(t) = ∫[−∞, ∞] x₅(τ) * x₅(t − τ) dτ

Substituting the given expression for x₅(t): y(t) = ∫[−∞, ∞] e^(-2τ)u(τ) * e^(-2(t − τ))u(t − τ) dτ

Since the unit step function u(τ) is equal to 1 for τ ≥ 0 and 0 for τ < 0, we can simplify the integral by considering different cases.

Case 1: When t < 0

For t < 0, both u(τ) and u(t − τ) are equal to 0, so the integrand becomes 0. Therefore, the integral is 0 in this case.

y(t) = 0, for t < 0

Case 2: When t ≥ 0

For t ≥ 0, u(τ) = 1 for τ ≥ 0, and u(t − τ) = 1 for τ ≤ t. Thus, the integral becomes:

y(t) = ∫[0, t] e^(-2τ) * e^(-2(t − τ)) dτNow, we can simplify this expression:

y(t) = ∫[0, t] e^(-2τ) * e^(-2t + 2τ) dτ

    = ∫[0, t] e^(-2t) dτ

    = e^(-2t) ∫[0, t] dτ

    = e^(-2t) [τ] [from 0 to t]

    = e^(-2t) * t

    = te^(-2t), for t ≥ 0

So, the convolution of x₅(t) with itself, y(t), is given by:

y(t) = te^(-2t), for t ≥ 0

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Answer: 1

Step-by-step explanation: calculator lol

Answer:

= 1

Step-by-step explanation:

− 2 + 7 −4

=5 −4

= 1

Answer:

21 m^2

Step-by-step explanation:

0.5 x 14 x 3

hope this helps

have a good day

Answer:

The answer is 21 m^2

cmiller did it first so giver her brainlliest if you were going to do it to me.

2% of 800 is 16 so you need to do 800-16 and that = 784

The value of c is obtained as -3.04. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four fundamental operations often referred to as "arithmetic operations" are said by mathematicians to be capable of expressing any real number. The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.

We are given an equation as c - (-8.37) = 5. 33.

On solving the equation, we get

⇒c - (-8.37) = 5. 33

⇒c + 8.37 = 5. 33

⇒c = 5. 33 - 8.37

⇒c = -3.04

Hence, we get the value for c as -3.04.

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The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Answer:

The third partner owns 7/20

Step-by-step explanation:

This is true because 1/4 is 5/20 ans 2/5 is 8/20. Combined that will equal 13/20. 20-13 is 7

Therefore, the answer is 7/20.

Answer:

7/20

Step-by-step explanation:

Use a common denominator (in this case it is 20)

Multiply 1/4 by 5 to get 5/20

Multiply 2/5 by 4 ro get 8/20

5/20 + 8/20 = 13/20 (Combined shares of the 1st and 2nd partner)

subtract 13/20 from 20/20 ro find the remaining share of the company

the last partner owns 7/20 of the company

:)

Answer:

pls use calculater

Step-by-step explanation:

because i also dont know now what shall i do so its a good suggestion for you i hope

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.