A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?

[tex]5x-2y=8\ \ \ \ |-5x\\\\-2y=8-5x\ \ \ |:(-2)\\\\y=-4+2.5x\\\\\boxed{y=2.5x-4}[/tex]

Answer:

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

[tex]f(x)=\frac{1}{3}x-1[/tex]

We need to draw the graph of given equation.

At x=0,

[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

[tex]\frac{1}{3}x-1=0[/tex]

[tex]\frac{1}{3}x=1[/tex]

Multiply both sides by 3.

[tex]x=3[/tex]

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

Answer:

[tex]-3.8-0.5x[/tex]

Step-by-step explanation:

A scuba diver is 3.8 meters below the surface of the water.

So, Depth of scuba driver is - 3.8 m

He is descending at a rate of 0.5 meters per minute.

So, Rate = -0.5 m . min

So,Distance traveled in x minutes = -0.05 x

So, The depth after x minutes = -3.8-0.5x

So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is  -3.8-0.5x

The variable x represents the no. of minutes .

The jigsaw puzzle has a total of 1050 pieces, with 126 edge pieces and 924 inside pieces, based on the ratio 3:22 provided in the question.

To calculate the total number of pieces in the jigsaw puzzle, we need to use the given ratio of edge pieces to inside pieces, which is 3:22. If there are 924 inside pieces, and the ratio of edge pieces to inside pieces must remain constant, we can set up a proportion where the number of edge pieces is represented by x and the number of inside pieces by 924.

3:22 = x:924

To find the value of x, we can cross-multiply:

3 * 924 = 22 * x

This gives us :

2772 = 22x

Now, we can solve for x by dividing both sides of the equation by 22:

x = 2772 / 22

x = 126

This means there are 126 edge pieces. To find the total number of pieces in the jigsaw puzzle, we add the edge pieces to the inside pieces:

Total pieces = edge pieces + inside pieces = 126 + 924 = 1050

Answer:

d.51

Step-by-step explanation:

took the quiz

The maximum value of the quadratic function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4. This value can be found by using the vertex formula for parabolas.

The function in question is f(x)=-[tex]x^2[/tex]+8x-20. This is a quadratic function, and since the coefficient of [tex]x^2[/tex] is negative, the graph of the function will be a downward-opening parabola. To find the maximum value of this function, we need to determine the vertex of the parabola.

The vertex of a parabola in the form of f(x)=[tex]ax^2[/tex]+bx+c is given by the formula h=-b/(2a). Plugging in our coefficients a=-1 and b=8, we find the x-coordinate of the vertex to be h=-8/(2(-1))=4. To find the corresponding y-coordinate, which is the maximum value, we substitute x=4 into the original function [tex]ax^2[/tex]+bx+c:

f(4)=[tex]-4^2+8\times4-20[/tex]

f(4)=-16+32-20

f(4)=-4

Therefore, the maximum value of the function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4.

Answer:

Instead of divide the dividend by the divisor to get a quotient, you can estimate an approximate quotient and then multiply it by the dividend. If the result is greater than the divisor, then your estimated quotient was greater than the actual quotient, in the case that the result is lower than the divisor, then your estimated quotient was lower than the actual quotient. After that you proceed to estimate again the quotient. For example:

First approximation:

192/12 ≈ 14

12*14 = 168 < 192

Second approximation:

192/12 ≈ 20

12*20 = 240

So, the answer is between 14 and 20

Third approximation:

192/12 ≈ 16

12*16 = 192

Then, 16 is the correct answer

There is no net change in the amount of chicken stock in the pot.

To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.

Using a simple calculation:

Therefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.

The coordinates of T are (-6,2).

The sails center of rotation is the origin (0,0)

The top of one sails point T(6,2).

The action or process of rotating on or as if on an axis or center.

A 180 degree rotation make you turn (x, y) into (-x, -y),

so the point  turn (6, -2), into (-6, 2).

Therefore the coordinates of T are (-6,2).

To learn more about the coordinate after rotation visit:

https://brainly.com/question/14266597

Answer:

The GCF is [tex]11j^{2} k^{4}[/tex]

Step-by-step explanation: I did the assignment on edge.