One number is -3 times the first number. The sum of the numbers is -4. What is the second number?

Answers

Answer 1

Answer: lets say that the first number is x and the second number is y.
from the question we know that:
y=-3x and x+y=-4
from there, you need to replace the y in the second equation with -3x since we know that is what y equals so we can have an equation with only one variable.
x+-3x+-4
Then you solve for x.
-2x=-4
x=2
then you find y with the fact that y=-3x
y=-6

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Solve the inequality 12x - 3x +11 > 4x - (17-9x)

Answers

The solution of the given inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7

The given inequality is,

12x - 3x +11 > 4x - (17-9x)

Simplify the left-hand side of the inequality by combining like terms.

We can simplify 12x - 3x to get 9x, so our inequality becomes:

9x + 11 > 4x - (17 - 9x)

Next, we can simplify the expression inside the parentheses on the right-hand side of the inequality by distributing the negative sign:

9x + 11 > 4x - 17 + 9x

We can further simplify this by combining like terms on the right-hand side of the inequality:

9x + 11 > 13x - 17

Now, we can isolate the variable on one side of the inequality by subtracting 9x from both sides:

11 > 4x - 4x - 17

Add 17 to both sides to isolate the variable:

28 > 4x

Finally, we can solve for x by dividing both sides by 4:

x < 7

Therefore, the solution to the inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7.

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$12x - 3x +11 > 4x - (17-9x)\n9x+11>4x-17+9x\n4x<28\nx<7$

I need help with math 1010
completing the square
x^2-9x=10

Answers

$x^2-9x=10|+20.25\nx^2-9x+20.25=30.25\n(x-4.5)^2=30.25\nx-4.5=5.5 \vee x-4.5=-5.5\nx=10 \vee x=-1$

Solve the following inequality.
-3.55g<-28.4
which graph shows the correct solution?

Answers

Answer:

Step-by-step explanation:

Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x , the length of the sides of the original deck.

Answers

The length and width of the new deck in terms of x x are (x + 2) feet and (x + 1) feet respectively.

Step-by-step explanation:

Step 1:

The side length of the original deck in the shape of a square was x feet.

Since it was a square, all the sides would measure x feet.

Now, the square deck is converted into a rectangular deck.

Step 2:

The side length of the original deck was x feet. 1 foot of deck is added to the side length and it is made into the width of the rectangular deck.

So the width of the new deck is (x + 1) feet.

The side length of the original deck was x feet. 2 feet of deck is added to the side length and it is made into the length of the rectangular deck.

So the length of the new deck is (x + 2) feet.

So the length of the new deck is (x + 2) feet and its width is (x + 1) feet.

Using the function in example one, what is the y value (output) when x=4?