Answer:
are their supposed to be answer choices
Step-by-step explanation:
1. First step: To get a term of x by itself, add 5 to both sides
Second step: This will become 3x<24
Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3
Step four: x < 8
2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12
Second: This becomes - 2x < -16
Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.
Fourth: x>8
Note: Try plugging in values when you are done if you are uncertain you have the right answer.
Answer:
x< -0.24
Step-by-step explanation:
So this is going to sound stupid, but I got x< -0.24 which is just not an option, but this is how I got it...
-25x+14>20
subtract 14 from each side
-25x>6
divide each side by -25
x< -0.24
I switch the way the sign was facing bc I divided by a negative.
Now I know that this must be wrong, but it makes the most sense because I am pretty sure I did all of the math right. Sorry this probably didnt help , but I did a lot of work to try and get the right answer, so Im not putting that work to waste
Refer to the diagram shown below.
The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).
Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
"She needs 1.5 cups of flour for 1 batch, but she wants to make 2.5 batches."
This means that she needs 7.5 cups of flour for 5 batches.
Hence, she needs 3.75 cups of flour for 2.5 batches.