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miss Akunina [59]
3 years ago
12

Suppose Phil and Kate decide to drive the sports car to Nashville without stopping and they want to arrive by 5:00pm. What time

should they leave their house?
It’s takes 7 hours and 52 minutes to get to Nashville.
Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

9:52 Am

Step-by-step explanation:

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For each value of u, determine whether it is a solution to -15 = 1 - 4u
Alona [7]

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Plug each option into u then solve the equation and see if the answer matches -15.

Ex. -15 = 1 -4 (2)

     -15 = 1 -8

     -15 = -7

     -15 does not equal -7 therefore it is false. Use Pemdas to solve.

6 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
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