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

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:

"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.

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

case A) 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

case B) 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

case C) 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

case D) 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

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