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xeze [42]
2 years ago
6

Write the equivalent expression to the sum of the expressions 3a2 + 3a and -3a - 3a2

Mathematics
1 answer:
ASHA 777 [7]2 years ago
7 0

Answer:

3 {a}^{2}  + 3a  + (- 3 {a}^{2}  - 3a) \\  = 3 {a}^{2}  - 3 {a}^{2}  + 3a - 3a \\  = 0 \\ thank \: you

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Determine whether 2x+2y= -6 is a function?
Archy [21]

Answer:

It's a function because when you simplify it becomes y=-x-3. the only reason it wouldn't be a function would be if the equation were to be x = a random number that is not a variable. The equation would not pass the vertical line test which is the requirement to see if an equation is a function.

Simply put, it's a function.

5 0
2 years ago
Read 2 more answers
I was told that the answer to this is -7 but I don't understand how to get there.
Amiraneli [1.4K]

Answer:

The answer to your question is: - 7

Step-by-step explanation:

                                            3125 = (- 1  - 18t) ⁵/³

                                            (3125)³ = ( -1 - 18t)⁵

                                            (3125)³/⁵ = - 1 - 18t

                                            125 = - 1 - 18t

                                            125 + 1 = - 18t

                                            126 = - 18t

                                            t = 126 / -18

                                            t = -7

3125³ = 3.0518 x 10¹⁰

\sqrt[5]{3.0518 x 10¹⁰} = 125

                       

6 0
3 years ago
A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable v
gulaghasi [49]

Answer:

The capability index for the process is 0.889

Step-by-step explanation:

Here, we want to compute the capability index for the process

To get this, we need some important parameters which we already have stated in the question

USL ( upper standard limit) = 0.048

LSL (lower standard limit) = 0.032

mean = 0.04

standard deviation = 0.003

We apply the formula as seen in the attachment below

Kindly understand that we are to calculate the Z upper and Z lower

The smallest value between the two will be our Z minimum

This is what we shall apply in the capability index formula which mathematically is;

Z minimum/3

From calculation:

Z lower = Z upper = 2.67

So therefore;

capability index = 2.67/3 = 0.889

4 0
3 years ago
Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are
dimaraw [331]
Correct answer:

"<span>If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle"

the Pythagorean theorem states that in a right triangle, the sum of the squares of the shortest sides is equal to the square of the largest side, the hypotenuse. 

Also, 
If we have a triangle with side lengths a, b and c, where a and b are the shortest, and "a squared plus b squared = c squared" then the triangle is a right triangle.

 </span>
4 0
3 years ago
Read 2 more answers
1. Which point on the axis satisfies the inequality y
grigory [225]

Answer:

1) Point (1,0) -----> see the attached figure N 1

2) The value of x is 4

3) I quadrant

4) (1,1)

5)  y>-5x+3

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point (1,0) is included in the shaded area

Part 2)

we have

x-2y\geq 4

see the attached figure N 2

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line x-2y= 4

For y=0

Find the value of x

x-2(0)= 4  

x=4

The solution is x=4

Part 3)

we have

x\geq 0 -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

y\geq 0 -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

y\geq 4x-5

we know that

If a ordered pair is a solution  of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point (3,4)

Substitute the value of x and y in the inequality

x=3,y=4

4\geq 4(3)-5

4\geq 7 ------> is not true

therefore

the point (3,4) is not a solution of the inequality

<u>case B)</u> point (2,1)

Substitute the value of x and y in the inequality

x=2,y=1

1\geq 4(2)-5

1\geq 3 ------> is not true

therefore

the point  (2,1) is not a solution of the inequality

<u>case C)</u> point (3,0)

Substitute the value of x and y in the inequality

x=3,y=0

0\geq 4(3)-5

0\geq 7 ------> is not true

therefore

the point  (3,0) is not a solution of the inequality

<u>case D)</u> point (1,1)

Substitute the value of x and y in the inequality

x=1,y=1

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point  (1,1) is  a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point (3,0)

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is y=-5x+3

The inequality is  y>-5x+3

3 0
3 years ago
Read 2 more answers
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