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Anit [1.1K]
3 years ago
9

Determine the vertex of the relation y = -2x2 - 8x + 1 by partial factoring. Show all of your steps.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

1) the vertex of a parable is given for two points, ( -b/2a, -b2-4ac/4a)

2) Now substitute the values in the equation

x = - (-8)/2(-2) = 8/ -4 = -2

y = -(8^2-4(-2)(1)/ 4(-2) = -(64-8) /-8 = 56/8 = 7

v(-2,7)

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Which equation represents a line which is parallel
erica [24]

Answer:

4x+5y=20

Step-by-step explanation:

bc if u subtract your 4x from both sides

then u should end up with 5y= -4x+20

then u divide the 5 from everything

then you end up with y= -4/5x+4

5 0
2 years ago
Consider these three numbers expressed in scientific notation: 8.2 × 10-3, 5.2 × 10-6, and 4.1 × 10-6. Which number is the great
Vedmedyk [2.9K]
1) 8.2 times 7
2)5.2 times 4
3)4.1 times 4
1) 57.4
2)20.8
3)16.4
Greatest:57.4
Least:16.4
Answer:57.4-16.4=41
6 0
3 years ago
A piston is seated at the top of a cylindrical chamber with radius 3 cm when it starts moving into the chamber at a constant spe
dlinn [17]

Answer:

1. V = πr²h

2. dv/dt = πr²dh/dt

3. dv/dt = 113.04

Step-by-step explanation:

We have these information

Radius R = 3cm

Height = h

Volume = V

We have been given dh/dt = 4cm

1.

An equation relating V, r, h

Volume of cylinder = πr²h

2.

The related rates equation

dv/dt = πr²dh/dt

dv/dt = π3²dh/dt

3. Continuing from number 2 above, we have

dv/dt = π3²dh/dt

= π9x4

= 3.14x9x4

= 113.04

These are the answers to the questions

4 0
3 years ago
A1,a2,a3....a30-each of these 30 sets has 5 elements.b1,b2,....bn-each of these n sets has 3 elements.union of a1,a2...a30=union
zzz [600]
 the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x.  Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set.  if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times.  This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
5 0
3 years ago
Help me plzplzplzplzplz
Alona [7]
The Answer Is Negative 3
7 0
3 years ago
Read 2 more answers
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