Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1 Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 In which step did Ernesto make the first error? Step 1 Step 2 Step 3 Step 4

The expression 21a + 9b provides a way for Braedyn to find the total number of items on the shelves by considering the individual quantities of items on the short and tall shelves separately and then combining them.

The expression 21a + 9b can help Braedyn find the total number of items on the shelves because it represents the sum of the number of items on the short shelves and the number of items on the tall shelves.

Let's break down the expression:

21a represents the number of items on the 21 short shelves.
Since each short shelf holds a items, multiplying the number of short shelves by a gives us the total number of items on the short shelves, which is 21a.

Similarly, 9b represents the number of items on the 9 tall shelves.

Each tall shelf holds b items, so multiplying the number of tall shelves by b gives us the total number of items on the tall shelves, which is 9b.

By adding the number of items on the short shelves (21a) and the number of items on the tall shelves (9b), we obtain the total number of items on all the shelves in the store.

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Answer:

-10 or -4

Step-by-step explanation:

the absolute value of -10 + 7 is 3

the absolute value of -4 + 7 is 3

absolute value just removes the negative sign of what is inside of it.

Answer:

109.5cm²

Step-by-step explanation:

The formula to this equation is SA = 2lw + 2lh + 2wh

So...

SA = 2(11 x 9) + 2(11 x 6) + 2(9 x 6)

= 49.5 + 33 + 27

= 109.5cm²

Answer: The incenter

Step-by-step explanation:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.

Answer:

168

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

If the price of 1 dozen of flowers is 4 1/3 dollars, the cost of 3 dozen is three times the cost of 1 dozen, meaning,

Answer: 13 dollars.

1. To determine g'(x, y), we calculate the Jacobian matrix of g:

g'(x, y) = [(∂u/∂x)  (∂u/∂y)]

               [(∂v/∂x)  (∂v/∂y)]

Calculating the partial derivatives, we have:

∂u/∂x = -1

∂u/∂y = 1

∂v/∂x = -3

∂v/∂y = 1

Therefore, g'(x, y) = [(-1  1)]

                          [(-3  1)]

The determinant of g'(x, y) is given by det(g'(x, y)) = (-1)(1) - (-3)(1) = 2.

2. To calculate g(R), we substitute x = u + v and y = u + 3v into the expression for g:

g(u, v) = (u + 3v - u - v, u + 3v - 3(u + v)) = (2v, -2u - 4v) =: (u', v')

So, g(R) can be expressed as the region R' in u-v coordinates where u' = 2v and v' = -2u - 4v.

To sketch the region R' in the u-v plane, we can start with the original region R in the x-y plane and apply the transformation g to each point in R. This will give us the corresponding points in R' which we can then plot.

3. Using the substitution g(x, y) = (y - x, y - 3x), we have the new integral:

∫∫R e^(x+2y) dx dy = ∫∫R' e^(u + 2v) det(g'(x, y)) du dv

Since det(g'(x, y)) = 2, the integral becomes:

2 ∫∫R' e^(u + 2v) du dv

Now, we can evaluate this integral over the region R' in the u-v plane using the transformed coordinates.

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Answer:

1. 10 mg

2. an exponential

3. decreases only

Step-by-step explanation:

its correct

Answer:

10 mg, an exponential, decreases only

Step-by-step explanation:

10 mg, an exponential, decreases only

this is the answer y=19x-10

x - 6 = -18

x = -18 + 6

x = -12 ← the end

Answer: B)

\(\boxed{\underline{\bf \: ANSWER}}\)

\( \sf \: x - 6 = - 18 \)

Add 6 to both sides.

\( \sf \: x=-18+6 \)

Add -18 and 6 to get -12.

\( \boxed{\underline{ \bf \: x=-12 }}\)

=> The correct answer will be Option B - x = - 12

_______

Hope it helps.

╰☆☆RainbowSalt2222☆☆╮

Answer:

8 & 12

Step-by-step explanation:

x+y=20 [The sum of two numbers is twenty]

3x=2y [Three times the smaller is equal to twice the larger]

.

x=20-y [Solve for x]

3(20-y)=2y [Substitute (x=20-y) into the second equation]

60-3y=2y [Solve for y]

60=5y

60/5=y

12=y

.

x+y=20 [Plug (y=12) back into either of the original equations]

x+12=20 [solve for x]

x=8

.

Answer:

The smaller number is 8

The larger number is 12

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

Translate the question and solve ;

\(x +y = 20\\3(x) =2(y) \\\\\begin{bmatrix}x+y=20\\ 3x=2y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+y=20:\quad x=20-y\\\\\mathrm{Subsititute\:}x=20-y\\\\\begin{bmatrix}3\left(20-y\right)=2y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:3\left(20-y\right)=2y:\quad y=12\\\\\mathrm{For\:}x=20-y\\\\\mathrm{Subsititute\:}y=12\\\\x=20-12\\\\Simplify\\\\x =8\\\\x=8,\:y=12\)

The average  rate of change on the interval - 1≤ x ≤ 4 for the given equation is 7.4

What is Quadratic equation ?

Quadratic equation can be defined as the equation which is in the form of ax^2+bx+c = 0 .

Given to find the average rate of change on the interval -1<= x <= 4

for the equation y = x^2+4x+1

put x = -1 in the equation  y = x^2+4x+1

y(-1) = -1*-1 + 4(-1) + 1

= -1-4+1

= -4.

y(4) = 4*4 + 4*4 + 1

= 16 + 16 + 1

=33

average rate = y(-1) - y(4) / -1-4

= -4-33 / -5

= 37 / 5

= 7 . 4

Hence, The average  rate of change on the interval - 1≤ x ≤ 4 for the given equation is 7.4

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Step-by-step explanation:

(-3x-4) is -12. -12

(5-5x) is x. x

9-7 is 2. 2

+8. +8

-2+x

9+24x+4+ 40-40x

53-16x

Approximate value of y when x=1 is 2 (based on the given model and parameter estimates). Therefore, the answer is option b.

To predict the value of the y variable when x=1 using the given model and parameter estimates, we substitute the values into the equation:

y = β + β ln(x) + u

Given parameter estimates:

β1 = 2

β2 = 1

Substituting x=1 into the equation:

y = 2 + 2 ln(1) + u

Since ln(1) is equal to 0, the equation simplifies to:

y = 2 + 0 + u

y = 2 + u

As we don't have information about the value of the error term u, we can't provide an exact value for y when x=1. However, we can say that the approximate value of y when x=1 is 2, based on the given model and parameter estimates. Therefore, the answer is option b.

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As Increasing the number of people working on a project from three to six can have several effects on the project's dynamics and outcome.  the number of people working on a project increases from three to six, the potential benefits include increased efficiency, faster completion times, and a broader range of expertise. However, there can also be challenges related to coordination, communication, and division of tasks.

With six people working on a project instead of three, there is an opportunity for increased efficiency and productivity. More people can divide the workload, allowing tasks to be completed simultaneously or more quickly. Additionally, a larger team can bring a broader range of expertise and diverse perspectives, leading to more creative problem-solving and innovative ideas.
However, it is important to consider the potential challenges that come with a larger team. Communication and coordination can become more complex as the number of team members increases. Ensuring effective collaboration and avoiding duplication of efforts may require additional effort and clear communication channels. Additionally, dividing tasks and responsibilities among a larger group may require careful planning to ensure everyone's contributions are meaningful and wember of people woll-coordinated.
Overall, increasing the number of people working on a project from three to six has the potential to enhance productivity and creativity, but it also introduces challenges related to coordination and communication that need to be effectively managed.

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Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

Answer: try using one of these websites

Step-by-step explanation:

https://www.cymath.com/

https://quickmath.com/

Answer:

6 tables

Step-by-step explanation:

54 chairs divided by 9 chairs = 6 tables have 9 chairs :)

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

⇒ 1 : Based on the given conditions, formulate

⇒ 54 ÷ 9

⇒ 2 : Calculate

54

----

9

= 6.75

Round down in this case, so

⇒ Answer: 6.

The least number of trips that Ava must make in order to deliver 250 cartons of books is 10 trips.

The least number of trips that Ava must make in order to deliver 250 cartons of books can be found by dividing the total number of cartons by the number of cartons that her car can hold per trip.

This can be written as:
Least number of trips = Total number of cartons / Number of cartons per trip

Substituting the given values into the equation, we get:
Least number of trips = 250 cartons / 26 cartons
Least number of trips = 9.62

Since Ava cannot make a fraction of a trip, we need to round up to the nearest whole number. Therefore, the least number of trips that Ava must make in order to deliver 250 cartons of books is 10.

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Answer:

b=− 3/4 =−1.333

b= 2/3=1.500

explanation

middle term, which is   -1 .  

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21

     -18    +    4    =    -14

     -12    +    6    =    -6

     -9    +    8    =    -1    That's it

Two real solutions:

b =(1+√289)/12=(1+17)/12= 1.500

or:

b =(1-√289)/12=(1-17)/12= -1.333

Answer:

X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Summation of all angles within a triangle is equal to 180 degrees.

y+61+90=180

Therefore, y = 180-61-90 = 29 degrees

61+x = 90

Therefore, x = 90-61 = 29 degrees

z+90+29 = 180

Therefore, z = 180 - 90 - 29 = 61 degrees

Answer: 9

Step-by-step explanation:

The value of the equation in terms of x is x = \(\sqrt{\frac{y^2-270}{135}}\).

Given is an equation, y = 3√(x²+2)15, we need to convert it in terms of x,

So,

y = 3√(x²+2) 15​

Squaring both sides,

y² = 9 [(x²+2)15]

y² = 9 [15x²+30]

y² = 135x²+270

y²-270 = 135x²

y²-270 / 135 = x²

x = \(\sqrt{\frac{y^2-270}{135}}\)

Hence, the value of the equation in terms of x is x = \(\sqrt{\frac{y^2-270}{135}}\).

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The correct answer is row number 16 since the sum is 65536 in

pascal's triangle which equals to the 2 power of 16 , that is 4th option.

Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. This triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. In any row of Pascal's triangle, the sum of the first, third, fifth, … numbers is equal to the sum of the second, fourth, sixth numbers.

(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.

We know that , 2^16 = 65536

Therefore, the numbers come from the row number.16

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