Is the system of equations is consistent, consistent and coincident, or inconsistent?
y = -1/2x +3
y = 4x +2
Select the correct answer from the drop down menu
____

Given a number:

The number -408 is a:

a.) Rational number - The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals.

b.) Real number - A negative number is a real number that is less than zero.

c.) Integer - Integers are like whole numbers, but they also include negative numbers.

It cannot be an irrational, whole and natural number.

Answer:

x = 3

Step-by-step explanation:

 (3 • (5x - 15)) -  15 • (x - 3)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  5x - 15  =   5 • (x - 3)  

Equation at the end of step

3

:

 15 • (x - 3) -  15 • (x - 3)  = 0  

STEP

4

:

Pulling out like terms

4.1      Pull out     15  

Pulling out like terms :

4.2      Pull out     x-3  

After pulling out, we are left with :

     15 • x-3 • ( 1  *  1 +( (-1)  *  (-1) ))

Equation at the end of step

4

:

 30 • (x - 3)  = 0  

STEP

5

:

Equations which are never true

5.1      Solve :    30   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

One solution was found :

x = 3

The required value of a for which the solution of the inequality is all real numbers is a > 4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

a(x + 3) < 5x + 15 - x

or, a(x + 3) < 4x + 15

Now let us solve for x first,

⇒ ax + 3a  < 4x + 15

Subtract 3a from both sides we get,

ax < 4x + 15 - 3a

Subtract 4x from both sides we get,

ax - 4x < 15 - 3a

or, (a - 4)x < 15 - 3a

Dividing both the side by (a - 4) we get,

x < (15 - 3a) / (a - 4)

Now for solutions to be real numbers,

a - 4 > 0

subtracting 4 both the side we get,

⇒ a > 4

this is the required value of a for which the solution of the inequality is all real numbers

Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.

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The volume of the regular pyramid is 1188 cm³.

A regular pyramid is a pyramid whose base is a regular polygon and whose lateral edges are all equal in length.

To calculate the volume of the regular pyramid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is C. 1188 cm³

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Answer:

ΔABC has: AD=DB

                  AE = EC

=> DE is the median line of ΔABC

=> DE // BC

=> m∠AED = m∠ECF = 32°

.

Step-by-step explanation:

Answer:

∠ ECF = 32°

Step-by-step explanation:

DE is the midsegment of Δ ABC and is therefore parallel to the third side BC.

Since DE and BC are parallel lines, then

∠ ECF and ∠ AED are congruent ( corresponding angles ) , thus

∠ ECF = ∠ AED = 32°

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

900 people

Step-by-step explanation:

540 / 60 = 9

10% = 9

9 x 100 = 900 people

Hope that helps!

From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

=====================================================

Explanation:

C is the midpoint of AB. This means AC is half as long as AB

Put another way, AB is twice as long as AC

AB = 2*AC

AB = 2*( AC )

32 = 2*( x/2 + 10 )  .... substitution

32 = 2*(x/2) + 2*10 ... distribute

32 = x + 20

x+20 = 32

x = 32-20 .... subtract 20 from both sides

x = 12

---------

If x = 12, then

AC = x/2 + 10

AC = 12/2 + 10

AC = 6+10

AC = 16

which is half of AB = 32, so it confirms our answer.

Answer:

QUESTION:

53% equals:

Fraction

ANSWER:

53% = 0.53 in decimal form.

0.53 = \(\frac{53}{100}\) in fraction form.

Step-by-step explanation:

I hope that this helps you out! :)    

Have a great rest of your day/night!    

Please thank me on my profile if this answer has helped you out.

Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3. To understand this analysis let's consider whether there exists a 3x3 matrix A such that A^2 = -I_3, where I_3 is the 3x3 identity matrix.

Step:1. Start by assuming that there is a 3x3 matrix A such that A^2 = -I_3.
Step:2. Recall that the determinant of a matrix squared (det(A^2)) is equal to the determinant of the matrix (det(A)) squared: det(A^2) = det(A)^2.
Step:3. Compute the determinant of both sides of the equation A^2 = -I_3: det(A^2) = det(-I_3).
Step:4. For the 3x3 identity matrix I_3, its determinant is 1. Therefore, the determinant of -I_3 is (-1)^3 = -1.
Step:5. From step 2, we know that det(A^2) = det(A)^2. Since det(A^2) = det(-I_3) = -1, we have det(A)^2 = -1.
Step:6. However, no real number squared can equal -1, which means det(A)^2 cannot equal -1.
Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3.

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Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

\(V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3\)

Answer:

y doesn't equal -5x-8

Step-by-step explanation:

-10x - 2 (-5x-8) = 16

-10x + 10x +32 =16

32=16? wrong

Mobile payments are payment transactions done with the help of a mobile phone. Think Venmo, Square Cash and Gogle Wallet, used to transfer money and even to shop at participating retailers – all with the tap of screen. According to a recent global study on mobile payment transactions, the mobile payments market was worth $550 billion in 2015 and is expected to grow more than 39% by 2020. That is explosive growth by any calculation.

But within all the buzz and investment that is flowing into this industry lies a cautionary tale, one that AnnaMaria Lusardi, director of the Global Financial Literacy Excellence Center (GFLEC) at George Washington University in Washington, D.C., explains like this: “We can make payments with the touch of a button, but the impact of this rapid innovation is not being examined.”

Answer:Sample Response: Yes, the expressions are equivalent. If you sum 42 + 35, you get 77. If you simplify 7(6 + 5), you also get 77.

Step-by-step explanation:Brainliest award need it

The exact sum of the infinite geometric series [infinity] 1 5 k k = 2 is 2 and the exact sum of the infinite geometric series does not exist, and the answer is "diverges."

To find the sum of an infinite geometric series, we use the formula:
Sum = a / (1 - r)
where a is the first term and r is the common ratio.
In this case, a = 1 and r = 5/2 (since each term is 5/2 times the previous term).
Thus, the sum of the infinite geometric series is:
Sum = 1 / (1 - 5/2) = 1 / (1/2) = 2
Therefore, the exact sum of the infinite geometric series [infinity] 1 5 k k = 2 is 2.
To find the exact sum of an infinite geometric series, we need to determine if it converges or diverges. In this case, the series is given by:
Σ (5^k), where k starts at 2 and goes to infinity.
To determine if the series converges or diverges, we must find the common ratio. The common ratio (r) in this series is 5. For an infinite geometric series to converge, the absolute value of the common ratio must be less than 1 (i.e., |r| < 1).
Since the absolute value of the common ratio in this series is greater than 1 (|5| > 1), the series diverges. Therefore, the exact sum of the infinite geometric series does not exist, and the answer is "diverges."

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Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.

The mean absolute deviation (MAD) is a measure of the variability of a set of data. It measures the average distance between each data point and the mean of the data set.

In this case, the MAD of Mr. Zimmerman's class is 0.46. This means that, on average, each data point in the class is about 0.46 units away from the mean of the data set.

The MAD gives an idea of how spread out the data is from the mean, regardless of whether the data is positively or negatively deviated from the mean.

A smaller MAD indicates less variability in the data set, while a larger MAD indicates greater variability.

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The Geometric Mean of a Leg Theorem, or the Geometric Mean Theorem, is related to right triangles and their altitude.

The Geometric Mean of a Leg Theorem states that " In a right triangle, the length of the altitude to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse created by the altitude."

It can be proven by assuming you have a right  triangle ABC, where angle BAC is the right angle, BC is the hypotenuse, AD is the altitude, and BD and DC are the two segments of the hypotenuse created by the altitude.

This shows the proof of the Geometric Mean of a Leg Theorem.

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Answer:

Step-by-step explanation:

Answer:

the anser wouold be 5

Step-by-step explanation:

1 is too small 25 is too big 313 is out rageesty to big

Answer:

i didnt have this yet

Step-by-step explanation:

Answer:

y = 3/2x + 2

Step-by-step explanation:

let eqn be y = mx + c

m = (5-2)/(2-0) = 3/2

sub (0, 2):

2 = 3/2 (0) + c

c = 2

therefore, the equation is y = 3/2x + 2

Answer:

Without additional context or information, it's difficult to determine the missing side length with certainty. However, we can use some logical reasoning to make an educated guess.

One possible way to approach this problem is to look for relationships between the known side lengths and the missing side length. For example, we can look at the lengths of the sides that are adjacent to the missing side and see if there are any patterns or ratios that might help us determine the length of the missing side.

In this case, we can see that the missing side is adjacent to sides with lengths of 8 and 9, which have a difference of 1. If we assume that the sides of the figure form a regular pattern or sequence, then we might guess that the missing side has a length that is 1 greater than 9, which would give us a length of 10 for the missing side.

However, this is just a guess based on the limited information provided, and there could be other possible solutions depending on the specific properties or context of the figure.

The first five terms of the Maclaurin series, the approximation value of f(0.5) ≈ 0.8555, which is close to the actual value of f(0.5) ≈ 0.4307.

a. The function given is f(x) = log5(2x + 1).

Let's consider the formula for the Maclaurin series expansion of log(1+x) and apply it here.log(1+x) = x - x²/2 + x³/3 - x⁴/4 +...

Since the given function f(x) = log5(2x + 1) is of the form log(1+x), we replace x by 2x and multiply the whole series by log5 to get the Maclaurin series expansion of the given function as follows: f(x) = log5 (2x + 1)= log5 (1 + 2x) = 2log5 (1 + x)= 2[x - x²/2 + x³/3 - x⁴/4 + ...]

Hence, the Maclaurin series expansion of the given function is 2[x - x²/2 + x³/3 - x⁴/4 + ...].

b. To determine the interval of convergence, we use the ratio test, as follows: Let a_n = 2^n/ n(5^n). Then, a_n+1/a_n = (2^(n+1)/ (n+1)(5^(n+1))) .(n5^n/ 2^n) = 2/5 * (n/n+1).

Now, lim (n → ∞) (a_n+1/a_n) = lim (n → ∞) 2/5 * (n/n+1) = 2/5, which is less than 1.

Hence, the given series converges for all values of x. Hence, the interval of convergence is (-∞, ∞).

c. Using the first five terms of the Maclaurin series expansion, the approximate value of f(0.5) is given by: f(0.5) ≈ 2[0.5 - (0.5)²/2 + (0.5)³/3 - (0.5)⁴/4 + (0.5)⁵/5]= 2[0.5 - 0.125 + 0.0625 - 0.0390625 + 0.029296875]= 2(0.427734375)= 0.85546875 (approx.)

d. The actual value of f(0.5) is given by: f(0.5) = log5 (2x + 1)= log5 (2(0.5) + 1)= log5 2.

Hence, f(0.5) = log5 2 ≈ 0.4307. Hence, the approximation is correct.

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9

Step-by-step explanation:

18 ÷ (9×8-7×10)

multiply 9×8

18 ÷ (72 -7 × 10)

multiply -7 × 10

18 ÷ (72 -70)

subtract 72 -70

18 ÷ 2

9

Answer:9 X 8 = 72 - 7 = 65 X 10 = 650 divided by 18 = 36.1111111111

Step-by-step explanation:

The maturity value of the investment would be $8,858.80.

To calculate the maturity value, we need to calculate the compound interest for each period separately and then add them together.

For the first 18 months, the interest is compounded semi-annually at a rate of 5%. Since there are two compounding periods per year, we divide the annual interest rate by 2 and calculate the interest for each period. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the maturity value, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.05/2)^(2*1.5) = $8,660.81.

For the next 5 months, the interest is compounded monthly at a rate of 10%. We use the same formula but adjust the values for the new interest rate and compounding frequency. Plugging in the values, we get A = 8000(1 + 0.10/12)^(12*5/12) = $8,858.80.

Therefore, the maturity value of the certificate after the specified period would be $8,858.80.

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Answer:

x+3

Step-by-step explanation:

combine like terms then simple math

Answer:

Simple Algebra.

Step-by-step explanation:

x2 + 5x + 6/

X + 2

= −3

Step-by-step explanation:

see above for the following

Answer:

---------------------------------

Find the scale factor:

Find the value of d:

One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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