⭐️ Does anyone know this?!

What two step equation when solved does x=-3

Travka [436]

Answer:

x + 3 = 0.

Step-by-step explanation:

One would be:

x + 3 = 0 Subtract 3 from both sides:

x + 3 - 3 = 0 - 3

x = -3

7 0

2 years ago

The roots of a quadratic function are x = -3 and x = 2/3. Which of the following would be the constant term of the equation in s

Alla [95]

Answer:

-2

Step-by-step explanation:

Since the roots are known and the function is a quadratic function, we can write down the function:

y = (x+3)(x-2/3) since when the roots are plugged in, the function gives 0.

Standard form means that the function has to be expanded:

y = (x+3)(x-2/3) = $x^{2}+3x - 2x/3 - 3*2/3$

y = $x^{2}+ 7x/3 - 2$

The constant term is -2.

7 0

2 years ago

Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

2 years ago

To cover a rectangle region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. W

gulaghasi [49]

We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.

15.5*2=31
170.5-31=139.5
139.5/2=69.75

A possible width is 69.75 feet.

4 0

2 years ago

3 cans that store 9 tennis balls... Find the constant of proportionality & write a equation to represent the relationship PL

Lilit [14]

3 cans store 9 tennis balls.
Find the Constant of proportionality and write and equation with regards to this given situation:
=> number of tennis balls = 9
=> number of cans = 3

 So the constant of proportionality is in the working column. Pls see attached.

7 0

3 years ago