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vesna_86 [32]
3 years ago
7

For problems 1 – 6, graph each function. Label the vertex and axis of symmetry.

Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

1. y=x^{2} -2x-1

a= 1 , b= -2 , c= -1

\frac{-b}{2a}\frac{- (-2)}{2 times 1}

x=1

now use the x value to find y

y=1^{2} -2 times 1 - 1

y = -2

vertex (1,-2)

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It is now twenty-five to four. What time will it be in one hour and forty-six minutes?
Dafna1 [17]

Answer:

5:21

Step-by-step explanation:

We know that currently (in the problem) it is 25 min before 4, or 3:35. When we add an hour to that (first part of the problem), we get 4:35. The way l like to continue from here is to take the second part (the 46 min) and just use part of it to round the hour off, and then add the other part to it.

From 4:35 to 5, we have 25 min

4.35 + 25 = 5

We subtract those 25 min from the 46 min, since we used them to round the hour off.

46 - 25 = 21

We have 21 min left, and now that the hour is rounded off, it's way easier to add minutes to it.

5 + .21 = 5.21.

So an hour and 46 min from 3:35 it will be 5:21. I hope this helps :)    

7 0
3 years ago
Read 2 more answers
Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less
MA_775_DIABLO [31]

Answer:

New cars sold = 20,

Used cars sold = 25

Cars serviced = 290

Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

2\times x-15=2x-15

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

12\times x+50=12x+50

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

x+(2x-15)+(12x+15)=335

Solving for 'x' we get:

x+2x+12x-15+50=335

15x+35=335

15x=335-35=300

x=\frac{300}{15}=20

Therefore, the number of new cars sold in that month is 20.

Number of used car sold =2x-15=2\times 20-15=40-15=25

Number of cars serviced =12\times x+50=12\times20+50=240+50=290

We can also cross check by summing them up:

290+25+20=335

8 0
3 years ago
Bobby E. Lee has completed 57% of the race. If he has completed 114 laps, how many total laps are in the race?
Alexus [3.1K]

Answer:

100% is 200 laps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Did I do this correctly?​
lorasvet [3.4K]

Answer:

No, The answer should be 240

Step-by-step explanation:

  1. The first step to finding the Surface Area was done well and was right but you got confused when trying to add the area of each shape
  2. There is 3 Rectangles and 2 Traingles.
  3. Let's start with the area of the triangles. 1/2bh is the formula for finding area of Traingles. 1/2(4)(6) = 12. We have two Traingles so that would be 24.
  4. Now we have three rectangles with different lengths we need to calculate.
  5. Rectangle 1 = 12 * 8 = 96
  6. Rectangle 2 = 12 * 6 = 72
  7. Rectangle 3 = 12* 4 = 48
  8. 24+96+72+48 = 240.
  9. So, the surface area of the rectangular prisim is 240

6 0
3 years ago
Evaluate 12 ÷ (-3)(2) + 5-133-3
shepuryov [24]

Solution

The question would like us to evaluate the following:

12÷-3\left(2\right)+5

- The solution is given below:

\begin{gathered} 12\div(-3)(2)+5 \\ \text{ Perform the division first before multiplication because we move from left to right when} \\ division\text{ and multiplication are together} \\ 12\div(-3)=-4 \\  \\ Thus,\text{ we have} \\ 12\div(-3)(2)+5=-4(2)+5 \\  \\ -4(2)+5=-8+5 \\  \\ =-3 \end{gathered}

Final Answer

The answer is -3

5 0
1 year ago
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