2x - y = 5
x + 3y = 7
What is the value of the y-determinant?
7
9
22

Answers

Answer 1
Your answer would be 9
Answer 2

Answer:

9 is the correct answer.

Step-by-step explanation:

The general form of the determinant of the given system

ax + by = e

cx + dy = f

is [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix}[/tex]

Now, we have the given system, i.e.

2x - y = 5

x + 3y = 7

The y-determinant of a system is formed by taking the constant terms and placing them in the y‐coefficient positions in the general determinant form and keeping the x-coefficients same.

So, we get,

[tex]\begin{vmatrix}2 & 5\\ 1 & 7\end{vmatrix}[/tex]

Solve the above determinant i.e. 2*7 - 1*5 = 14 - 5 = 9

Hence, the value of y-determinant is 9.


Related Questions

eleanor purchased $2568 worth of stock and paid her broker a 0.5% fee. She sold the stock when the stock price increased to 3928 using an online broker that charged $7 per trade. What are her net proceeds?

Answers

Answer:

Eleanor's net proceeds would be $1340.16.  

Step-by-step explanation:

If Eleanor purchased $2568 worth of stock and paid a 0.5% broker fee, she would have to pay $12.84 for the service, which is what we get when we multiply her initial purchase by the percentage (0.005).  When Eleanor sold the stock at $3928, she had to pay a flat fee of $7 for the trade, decreasing her overall profit by $7, or $3921.  Subtracting her initial investment from the overall profit gives Eleanor a net proceed of $1340.16.  

Final answer:

Eleanor's net proceeds from her stock sale, after accounting for both the original broker's fee and the online trading fee, are $3908.16.

Explanation:

To calculate Eleanor's net proceeds, we first need to calculate the fee she paid to her first broker. At 0.5% of $2568, that comes to $2568 * 0.005 = $12.84.

Next, she sold her stocks for $3928 using an online broker that charges a flat rate of $7 per trade. So, she paid another $7 in fees.

Therefore, the total fees she paid are $12.84 (first broker) + $7 (second broker) = $19.84.

Finally, to find her net proceeds, we subtract the total fees from the amount she sold her stocks for: $3928 - $19.84 = $3908.16.

So, Eleanor's net proceeds from selling her stocks are $3908.16.

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What are the first 4 terms of the arithmetic sequence in the graph?


Answers

Look at the picture.

[tex]a_1=4\\\\a_2=6\\\\a_3=8\\\\a_4=10[/tex]

Answer:

Start from bottom to top. They are asking for the y-intercept of the dot. The order is as follows: 4, 6, 8, 10.

How many solutions does this system have!

y = 3x + 5
y = -x + 4

a. one
b. two
c. infinite number
d. no solution

Answers

Answer:x=-14y=174


y=3x+5,y=-x+4


3x+5=-x+4



There are infinite number of solutions!





Move all terms containing

x

x to the left side of the equation.

Tap for more steps...

4

x

+

5

=

4

4x+5=4

y

=

x

+

4

y=-x+4

Move all terms not containing

x

x to the right side of the equation.

Tap for more steps...

4

x

=

1

4x=-1

y

=

x

+

4

y=-x+4

Divide each term by

4

4 and simplify.

Tap for more steps...

x

=

1

4

x=-14

y

=

x

+

4

y=-x+4

Replace all occurrences of

x

x with the solution found by solving the last equation for

x

x. In this case, the value substituted is

1

4

-14.

x

=

1

4

x=-14

y

=

(

1

4

)

+

4

y=-(-14)+4

Simplify the right side.

Tap for more steps...

x

=

1

4

x=-14

y

=

17

4

y=174

The solution can be shown in both point and equation forms.

Point Form:

(

1

4

,

17

4

)

(-14,174)

Equation Form:

x

=

1

4

y

=

17

4

x=-14y=174

Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))

Answers

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

What is 6.39 / 0.09

Answers

The answer is 71 when simplified

Answer:

71

Step-by-step explanation:

One way of doing this problem is to remove the fractions.  If we move both decimal points two places to the right, we get 639/9.

Routine division results in a quotient of 71.

Which point is on the graph of f(x)=5^x?

Answers

Answer:

B. (0 , 0)

Step-by-step explanation:

Plug in the coordinate into the equation given.

Note that:

x = x

f(x) = y

Also note that in B, x = 0, y = 0

Plug in the corresponding number with the corresponding variable

0 = 5^(0)

Simplify

5^0 = 0

0 = 0 (True)

B. (0 , 0) is your answer

~

Answer:

(1,5)

Step-by-step explanation:

This is the correct answer.

The area of a rectangular dog pen is 8 1/2 square feet. If the width is 3 2/5 feet, what is the length ,in feet ?

Answers

Answer:

2 1/2 ft

Step-by-step explanation:

Area is given by the formula

A = l*w

We know the area is 8 1/2  

Changing this to an improper fraction  8 1/2 = (2*8 +1)/2 = 17/2

The width is 3 2/5  as an improper fraction  = (5*3+2)/5 = 17/5

A = l*w

17/2 = l* 17/5

Multiply each side by 5/17

17/2 * 5/17 = l* 17/5 * 5/17

5/2 = l

2 1/2 = l


Since area is length times width, you can divide 8 1/2 by 3 2/5 to get the length. 8.5/3.2=2.65625 feet

what is
[tex]2x + 4 \geqslant 24[/tex]
please help!!!

Answers

[tex]2x+4\geq24\qquad\text{subtract 4 from both sides}\\\\2x\geq20\qquad\text{divide both sides by 2}\\\\\boxed{x\geq10\to x\in[10;\ \infty)}[/tex]

PLEASE ANSWER I WILL GIVE YOU BRAINLIEST

Simplify.

What is the value of the expression? 1/5 (-22.38 - 10.12)

Enter your answers, as a decimal to tenths

Answers

Answer:

The answer is 7 if you round 6.5

Step-by-step explanation:

1/5(-22.38 - 10.12)

1/5 (-32.5)

= -6.5

Which of the following is a correct interpretation of the expression 6-13?

Answers

Answer:

The answer is C

Step-by-step explanation:

Subtraction goes left on the number line

You always start with the first number on the number line

felix bought 5/6 pound of peanuts. He ate 3/4 pounds of peanuts. How much did felix hace left

Answers

Felix are 1/12 pounds

Sade found that 75% of 60 is the same as 30% of another number,n.What is the value of n?

Answers

the value of n would be 150.

1. What is the value of x? Show your work to justify your answer.


2. What is the value of the exterior angle? Show your work to justify your answer.

Answers

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


Answer: x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.y + 2x+10 =180Solve for y by subtracting 2x+10 from each side.y + 2x+10 - (2x+10) =180 - (2x+10)y = 180-2x-10y = 170-2xThe three angles of a triangle add to 180 degreesx+ y+ 82 = 180x+ (170-2x)+82 = 180Combine like terms-x +252=180Subtract 252 from each side-x+252-252 = 180-252-x = -72Multiply each side by -1-1*-x = -72*-1x=72The exterior angle is 2x+10.  Substitute x=72 into the equation.2(72)+10144+10154

Write an absolute value inequality that describes the acceptable weights, w, of a 20-ounce bottle of sports drink.

Answers

Answer: [tex]0\leq w\leq 20[/tex]

Step-by-step explanation:

Since, Here w represents the weight of the bottle.

And, According to the question, he acceptable weights, w, of a 20-ounce bottle of sports drink.

That is, weight of the bottle can not be higher than 20 or the it can be atleast 20.

Therefore,  [tex]w\leq 20[/tex]

And, the weight can not be negative.

Therefore, [tex]0\leq w[/tex]

Thus, the required inequality is,

 [tex]0\leq w\leq 20[/tex]




The linear inequality y ≤ 3/2x + 3/2
is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (1, 3)
C) (-2, 0)
D) (-3, 1)

Answers

Answer:

it's (B)

Step-by-step explanation:


Final answer:

To find a solution for the linear inequality y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. The correct solution for the inequality is (-2, 0).

Explanation:

To determine a solution for the linear inequality, y ≤ (3/2)x + (3/2), we need to graph it and find the region that satisfies the inequality. This inequality represents a line with a slope of 3/2 and a y-intercept of 3/2. Starting from the y-intercept, we can draw a line that goes up 3 units vertically and 2 units horizontally, and another line that goes down 3 units vertically and 2 units horizontally. Shade the region below the line to include the points that satisfy the inequality. The correct solution for the inequality is (C) (-2, 0).

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Question: How many 1 8 lb packages of fudge can be sold from 7 pounds of fudge?

Answers

Let us assume that it is 1/8 lb packages of fudge.

So, the question is how many 1/8 lbs of fudge can be sold from 7 pounds of fudge

Answer:

Total amount of fudge = 7 pounds

Portions of division = 1/8 pounds

So, number of packages that can be made from 7 pounds are =

[tex]\frac{7}{\frac{1}{8}}[/tex]

= [tex]7\times8=56[/tex]

Hence, 56 packages of 1/8 lbs each can be made from 7 pounds fudge.

A water yank holds 18,000 gallons. How long will it take for the water level to reach 6,000 gallons if the water is used at an average rate of 450 gallons per day?

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

18,000 - 6000 = 12,000

12,000 ÷ 450 = 26.66 = 26 days 16 hours

HELP PLS 15+ POINTS

Write an equation of the line that has:

a. no slope and passes through the point (4,-5)

b. a slope of 0 and passes tgrough the point (-4,-1)

Answers

since there is no slope, there is no x because if you put an x, the slope would be 1. using the point given: ( 4, -5), the first number is the x axis number. the second number is the y axis number. since there is no slope, it is just a horizontal line. the line crosses the y axis at -5 so the answer for a would be y = -5

For b, the slope is zero meaning there is no slope. so like a, there will be no x. this line will also be a horizontal line. this line crosses at -1 on the y axis so the answer will be y = -1

Please help and show work

Answers

Greetings!

Answer:

The ratio is 1:3

Step-by-step explanation:

People can do this in different ways.

Firstly, set some variables for cydlinder A:

Diameter = 18

Height = 1

Radius = 18 ÷ 2 = 9

Area of a cylinder is [tex]\pi r^{2} h[/tex]

Plug values in:

[tex]\pi 9^{2} 1[/tex] = 81π


Cylinder B:

Diameter = 18 ÷ 3 = 6

Height = 1 * 3 = 3

Radius = 6 ÷ 2 = 3

[tex]\pi3^{2}3  = 27\pi[/tex]


Cylinder b is 3 times less than cylinder a:

81π ÷ 27π = 3

So that means three lots of cylinder b is equal to one of cylinder a.

Meaning the ration is 1:3


Hope this helps!

Find the absolute value of |-15|

Answers

Answer:

15   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Absolute value is always positive.

Answer:


Step-by-step explanation: Absolute value of -15 is 15. Absolute value is the distance of a number on the number line from 0. Even though it is a negative, it is a positive because it is a number of units from number line. Hope it helps!!☺☻ Please give Brainliest!


given abc with a(-4 -2), b(4,4), and c(18,-8). write the equation of the line that contains the altitude that passes through b in standard form

Answers

check the picture below.

so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have negative reciprocal slopes.


[tex]\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{11}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{11}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{11}{3}}}\impliedby \textit{BD's slope}[/tex]


so we're really looking  for the equation of a line whose slope is 11/3 and runs through B(4,4).  Keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


[tex]\bf B(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{11}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{11}{3}(x-4)[/tex]


[tex]\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}\textit{ to do away with the denominators}}{3(y-4)=3\left( \cfrac{11}{3}(x-4) \right)\implies 3y-12=11(x-4)} \\\\\\ 3y-12=11x-44\implies 3y=11x-32 \\\\\\ -11x+3y=-32\implies \blacktriangleright 11x - 3y= 32\blacktriangleleft[/tex]

Final answer:

The equation for the altitude passing through point B(4,4) is in standard form as 11x - 3y = 32. This was found by calculating the slope of AC, finding the perpendicular slope, and then applying it with point B to find the equation of the line.

Explanation:

To find the equation of the altitude that passes through point B(4,4) of the triangle ABC with vertices A(-4,-2), B(4,4), and C(18,-8), we need to determine the slope of line AC and then find the perpendicular slope that passes through B.

Firstly, we calculate the slope of AC:


Slope of AC = (y2 - y1) / (x2 - x1)
= (-8 - (-2)) / (18 - (-4))
= (-8 + 2) / (18 + 4)
= -6 / 22 = -3 / 11

The slope of the altitude will be the negative reciprocal of the slope of AC because the altitude is perpendicular to AC. Hence,


Perpendicular slope = 11/3

Now we use the point-slope form of the equation of a line using point B:


y - y1 = m(x - x1)
y - 4 = (11/3)(x - 4)

Rewriting in standard form (Ax + By = C), we get:


3(y - 4) = 11(x - 4)
3y - 12 = 11x - 44
11x - 3y = 32

So, the standard form of the equation of the altitude passing through point B is 11x - 3y = 32.

Molly took an exam that had 25 questions. She got 75% on the test, how many questions did she get wrong

Answers

3 molly missed 3 questions because 25/25=100 and 24/25 = 90 and 23/25= 80 22/25=70 so its 22 and a half witch means she missed 22 questions and didnt do her work right so she proably didnt do one of her questions work right.

I need help ASAP pleaseSolve for y Y+1.5=7.26

Answers

Answer:

5.76

Step-by-step explanation:

If you subtract 7.26 by 1.5 by puting the 1.5 under the 7.26 you would get that and put y=5.76.

Answer:

Y=1.05 = 7.26

Y = 7.26 - 1.05 - 6.21

Step-by-step explanation:


Three hens can lay 3 eggs in 3 days.In how many days can 7 hens lay 7 eggs?

Answers

Answer: 3 days


Step-by-step explanation: It would take 3 days for seven hens to 7 lay eggs because each hen lays an egg each day.

1 hen/1 egg = 3 days

7 hens/7 days = 14 eggs

7 hens/3 days = 7 eggs

Answer:

3 days

Step-by-step explanation:

Three hens lay 3 eggs in 3 days

We have to find the days in which 7 hens lay 7 eggs

Hen/egg=[tex]\frac{3}{3}[/tex]

Hen/egg=1

Using unitary method

1 hen lays 1 egg in 3 days

1 hen lays in 1 day =[tex]\frac{1}{3}[/tex]eggs

7 hens lay 7/3 eggs in 1 day

7 hens lay 1 egg=[tex]\frac{3}{7}[/tex]days

7 hens lay 7 eggs=[tex]\frac{3}{7}\times 7[/tex]

7 hens lay 7 eggs=3 days

Hence, 7 hens lay 7 eggs in 3 days

Convert 5.4 ⋅ 103 to standard form. 0.0054 0.00054 5,400 54,000

Answers

Assuming you meant 5.4 × 10³, then it is 5400. Just move the decimal place 3 times, resulting in 5400. To put it better next time, put it like 5.4×10^3 to avoid confusion.

Answer:

The correct option is C. 5,400

Step-by-step explanation:

Consider the provided number.

[tex]5.4\cdot 10^3[/tex]

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]5.4\cdot 10^3[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]5400[/tex]

Hence, the correct option is C. 5,400

Patty needs a total of 80$ to buy a bicycle .she has already saved 35$. If she saves 10$ a week. From her earnings ,what is the best number of weeks she must work to have enought money to but a bicycle?
A) 3
B)4
C)5
D)8

Answers

It is c) hope you enjoy!!!

Answer:

C) 5 weeks

Step-by-step explanation:

Given :- Cost of bicycle = $80,

             Current Savings = $35 and

             Saves $10 per week

Additional money that is required to buy the bicycle =  $80 - $35

                                                                                           = $45

If she saves $10 per week then the best number of weeks to save $45 is 5 weeks

(Savings in 5 weeks = $10 × 5 =  $50)

f(x) = x − 3 and g(x) = 2x + 8 Which ordered pair is a solution for the system?

Answers

I put it into Desmos and got (-11, -14)



What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?

10, 5, 0, -5, -10, ...
A) -5n
B) -5n + 15
C) -3n + 15
D) 5n

Answers

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]a_{1}[/tex] the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and [tex]a_{1}[/tex] = 10, hence

[tex]a_{n}[/tex] = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B



Ryan made a cd of his favorite songs. There are 42 minutes of time on Cd. He records 14 songs. What is the average length of each song?

Answers

The average song length is 3 minutes (divide 42 and 14)
The average length of each song is 3 minutes . The steps to do that is 42 minutes divided to 14 songs and you have the answer is 3 .

Please help ASAP!!!
A six-sided number cube is rolled. What is the probability of getting a 3 and then a 4, given that the first number rolled was a 3?

1. 1/3
2. 1/6
3. 1/36
4. 1/2

Answers

The answer is 3. 1/6 because there are 6 sides in the cube. So the probability of getting a certain number is 1/6.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube is 1/36.

The probability of getting a 3 and then a 4, given that the first number rolled was a 3 on a six-sided number cube:

Probability of rolling a 3 on the first roll: 1/6

Since each roll is independent, the probability of rolling a 4 after rolling a 3: 1/6

Therefore, the overall probability of getting a 3 and then a 4: 1/6 × 1/6 = 1/36

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