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labwork [276]
3 years ago
11

Find the range of values for which x2 - 6x + 8 < 0

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

Step-by-step explanation:

Factor

x^2-6x+8<0

(x-2)(x-4)<0

For this to be less than zero the factors must have opposite signs.

x>2 and x<4

2<x<4

So x is all real numbers between 2 and 4 or in interval notation

x=(2,4)

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rewrite these in increasing order of length: 537 km, 790 dm, 41 cm, 8 mm, 788 m
kompoz [17]

Answer: 8mm,\ 41cm,\ 790dm,\ 788m,\ 537km

Step-by-step explanation:

To solve this problem you must:

1. Write the lenghts given in the problem in the same units.

2. Let's convert all the units to meters. Then:

537 km to m:

(537km)(\frac{1,000}{1km})= 537,000m

790 dm to m:

(790dm)(\frac{1m}{10dm})=79m

41 cm to m:

(41cm)(\frac{1m}{100cm})=0.41m

8 mm to m:

(8mm)(\frac{1m}{1,000mm})=8*10^{-3}m

Now you rewrite them in increasing order:

8mm,\ 41cm,\ 790dm,\ 788m,\ 537km

4 0
3 years ago
Read 2 more answers
A one-way trolley ticket to Old Town costs
MA_775_DIABLO [31]

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

8 0
3 years ago
Alex, Mark &amp; Peter share some money in the ratio 4 : 7 : 1. In total, Alex and Peter receive £60. How much does Mark get?
LuckyWell [14K]

Answer:

32$

Step-by-step explanation:

7 0
4 years ago
1) Bianca ordered a shirt online that cost her $23 total.
zheka24 [161]

Answer:

Bianca is paying $22.08

Step-by-step explanation:

If the Shirt Cost 23$ in total, and the seller took 4% off the original price, Which means

4% of 23$ = 0.92 cents, now clearly it says "IT TOOK OFF"

So, now you subtract 0.92 from the original price, to find the new price.

Here the original price is 23$,

23$ - 0.92 = 22.08$, so that means...

Bianca ended up paying $22.08

3 0
2 years ago
At a shelter 15% of dogs are puppies there are 60 dogs at the shelter. How many are puppies?
Vesnalui [34]
9 of them are puppies because 15 percent of 60=9
6 0
4 years ago
Read 2 more answers
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