Answer:
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
Step-by-step explanation:
5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"
<h3>How to translate an English phrase into an algebraic equation?</h3>
Given the phrase in the question;
The sum of a number times 5 and 29 is at most -25.
First, we translate;
Let the unknown number represented by b.
- A number times 5 ⇒ b × 5 ⇒ 5b
- Sum ⇒ 5b + 29
- Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25
Now we combine the terms;
5b + 29 ≤ -25
We can go and solve for the unknown number.
5b + 29 ≤ -25
Subtract 29 from both sides
5b + 29 - 29 ≤ -25 - 29
5b ≤ -25 - 29
5b ≤ -54
b ≤ -54/5
Therefore, the translation of the phrase is 5b + 29 ≤ -25.
Learn more about inequality here: brainly.com/question/20383699
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Answer:
17F
Step-by-step explanation:
(-2F) +(19F) = 17F
The signed numbers add in the usual way. (If you really can't do this in your head, a calculator can help.)
Answer:
ok so this problem you are basically just rearranging it. you're going to want y by itself.
Step-by-step explanation:
let's start with the original equation: 5-y=1/3x +12
so first you have to move the five over, so you subtract 5 from both sides. -y=1/3x+12-5
then you subtract the 5 from the twelve since they're like terms: -y=1/3x+7
and finally you have to move the negative over. when you move the negative think of it like dividing negative one from both sides, everything on the other side has to get the negative.
so we're left with y=-1/3x-7
I hope this helps!
