Answer:
y = (x + 1)² - 1
Step-by-step explanation:
The equation of a parabola in vertex form is:
y = a(x - h)² + k
where the vertex is located at (h,k). Replacing with vertex at (-1, -1) we get:
y = a(x - (-1))² + (-1)
y = a(x + 1)² - 1
The only option with vertex at (-1, -1) is y = (x + 1)² - 1 (where a = 1)
Answer:
Step-by-step explanation:
75 · 75 =
Answer:
x = (5 + √73) / 4 or (5 - √73) / 4
Step-by-step explanation:
2x² - 5x - 6 = 0
x = [5 ± √(25 - 4(2)(-6)] / 2(2)
x = [5 ± √(25 + 48)] / 4
x = [5 ± √(73)] / 4
x = (5 + √73) / 4 or (5 - √73) / 4)
Answer:
169 = the cost of one ticket.
Step-by-step explanation:
17$ per ticket
5 people
total cost 930
17*5=85 // 930-85=845 // 845/5= 169
therefore each ticket costed 169 dollars with the addition of the insurance, they costed 186$
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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