1. Without solving, explain why the two linear systems below have the same solution. 4x + 2y = 26 x+y=8 4x + 2y = 26 -2x - 2y = -16​

The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

The equation of the function is given as:

y = 5^x

And the x value is given as

x = 2

To determine the missing value, we start by substituting 2 for x in the function y = 5^x

So, we have:

y = 5^2

Evaluate the exponent

y = 25

So, the complete coordinate is (2, 25)

Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2,​ 25)

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Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The required quadratic polynomial is  \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.

Let the roots of the quadratic equation be  \(\alpha\) and \(\beta\) .

Given,  

          Sum of zeroes,  \(\alpha +\beta = 8\)

           Product of Zeroes, \(\alpha *\beta = 12\)

we know that,

      Quadratic Equation can be written as :

                     \(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)

     Substituting the values in the above Equation,

                    \(x^{2} - (8)x + (12) =0\)

                    \(x^{2} - 8x + 12 =0\)

Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .

Now, let's factorize the equation to find its root:

                    \(x^{2} - 8x + 12 =0\)

                    \(x^{2} - 6x -2x+ 12 =0\)

                    \(x(x-6) -2(x-6)=0\)

                     \((x-6)(x-2)=0\)

                    ⇒ \(x= 2,6\)

Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .

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The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.

Given are the closing prices of two stocks in three days.

If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,

Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25

If the stock is sold in day 2,

Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25

Profit = $1435.25 - $1448.25 = -$13

If the stock is sold in day 3,

Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7

Profit = $1450.7 - $1448.25 = $2.45

The profit is more for day 3 than day 2.

Hence it is best to sell on day 3 by $2.45.

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A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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Answer: no answer

Step-by-step explanation:

There are no combine terms to this question.

There is no way we can find out the value of x.

Therefore, there is no solution or there is no answer.

Answer: 11/3, or 3.66 (repeating)

Step-by-step explanation: 3x + 11, divide 11 by 3, getting a repeating decimal, or a fraction that cannot be simplified

This question is incomplete, the complete question is;

Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0062.

- find the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned.

Answer:

the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned is 0.2819

Step-by-step explanation:

Given that;

n = 4600

p = 0.0062

now mean of distribution μ  = n × p = (4600 × 0.0062) = 28.52

standard deviation σ = √(np(1-p)) =  √(4600 × 0.0062(1 - 0.0062 ))  = 5.3238

for normal distribution z-score = (X-μ) / σx    

therefore from the normal approximation of continuity correction and binomial distribution;

probability = P(13.5 < X < 25.5)

= P( -2.82 < Z < -0.57 )

= 0.2853 - 0.0024

= 0.2819

therefore the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned is 0.2819

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

The ordered pair which is not a solution to the inequality y - 3x < 10 is (-6,0).

Given the inequality in the question:

y - 3x < 10

Given the ordered pairs: (0,-4), (0,-1), and (-6,0). To determine which ordered pair is not a solution, we need to plug the values into the inequality and check.

For (0,-4):

y - 3x < 10

Plug in x = 0 and y = -4

-4 - 3(0) < 10

-4 < 10

True: -4 is less than 10.

For (0,-1):

y - 3x < 10

Plug in x = 0 and y = -1

-1 - 3(0) < 10

-1 < 10

True: -1 is less than 10.

For (-6,0):

y - 3x < 10

Plug in x = -6 and y = 0

0 - 3(-6) < 10

18 < 10

False: 18 is Not less than 10.

Therefore, (-6,0) is not a solution to the inequality.

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Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

Answer:

n measur

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer:

Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices

Step-by-step explanation:

so this is possible because all of their pizza's were cut in to different amount of slices

Answer:

Step-by-step explanation:

Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.

Answer:

D is the answer

Step-by-step explanation:

For a: g(x) = 1 when x = 1, for f(x) 1^2 - 2(1) + 2 = 1, a is true.

For b: Both functions do have all real numbers for their domain, b is true

For c: the y-intercept of g(x) is x = 0, for f(x), it is 0^2 - 2(0) + 2 = 2, c is true

For d: g(3) = 7, f(3) = 3^2 - 2(3) + 2  = 5, d is false.

Answer:

1. 3

2. $3.30

3. $3.28

Step-by-step explanation:

sorry if this is wrong i learned this two years ago lol

Because the sofa usually sells for $800, we know that's 100% of the price.

100% = $800

Let's find 1%.

1% = $800/100

1% = $8

Next, multiply $8 by 75 to find the percent of the sofas price when it's $600.

75% = $600

We now know that $600 is 75% of the sofas original price.

100% - 75% = 25%

The percent of decrease I'm the sofas sale price is 25%.

Hope I got that right, the question was worded a little strangley so I wasn't quite sure what you were asking :)

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 77

For the alternative hypothesis,

H1: µ < 77

This is a left tailed test

Therefore, we would find the critical value corresponding to 1 - α and reject the null hypothesis if the test statistic is less than the negative of the table value.

1 - α = 1 - 0.1 = 0.9

The negative critical value is - 1.314

Reject H0: μ = 77 and fail to reject H1: μ < 77 when the test statistic is less than - 1.314

b) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 28

Degrees of freedom, df = n - 1 = 28 - 1 = 27

t = (x - µ)/(s/√n)

Where

x = sample mean = 73

µ = population mean = 77

s = samples standard deviation = 7.6

t = (73 - 77)/(7.6/√28) = - 2.79

Since - 2.79 is lesser than - 1.314, then we would reject the null hypothesis.

Answer:

Slope Intercept Form: 2/3x + 5

Finding the x and y Intercepts: (-15/2 , 0)

Answer:

\(y=\frac{2}{3} x+5\)

Step-by-step explanation:

3y=2x+15

÷ all #'s by three

\(y=\frac{2}{3}x +5\)

Answer:

c. -2

Step-by-step explanation:

Since f(x) is the regular graph. Since the inverse function flips the x and y coordinates, f inverse of 4 is actually where y=4, not x=4. so the x coordinate where y is 4 is -2.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer: 49

Step-by-step explanation:

We know, x = -2

Substituting value of x in \(8x^{2} -7x+3\),

\(8(-2)^{2} - 7(-2) + 3\\=8(4) -7(-2) + 3\\=32+14+3\\=49\)

Answer:

f(-2)=8*(-2)^2-7*(-2)+3=8*4+14+3=32+17=49

Step-by-step explanation:

Answer:

3 nickels and 3 quarters

Step-by-step explanation:

Quarter; 25¢

Nickel; 5¢

25x3=75

90-75 is 15

3 nickels is 15¢

So:

3 quarters and 3 nickels for 90¢

Answer:

1.15

Step-by-step explanation:

Answer:

1.15

Step-by-step explanation:

So, first it would be helpful to change this from an improper fraction to a mixed number. Because we have an improper fraction now, we need to make this a mixed number by seeing how many times 23 can go into 20. Twenty-three can't go into 20, but if we take away 3 from 23 it can.

So, now we have 20/20 but with a remainder of 3/20. Because 20/20 = 1, it becomes a whole number of 1 and 3/20. Because there is a whole number of 1, we can put this as the whole number for the decimal. The fraction 3/20 is equal to the decimal 0.15, so we can now put the decimal together now that we have all the parts for the answer needed, which is 1.15.

I hope that this helps.

Answer:

Yes.

Step-by-step explanation:

It satisfies our definition of a function. For every x, there is one and only one value of y.

Hope that helped.

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

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Divide 25 by 24:

25 / 24 = 1.0416

The hundredth place is the second decimal place, because the third decimal place is less than 5, the hundredths place stays the same:

Answer: 1.04

Answer:

Charlotte started with 65.

Step-by-step explanation:

In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.