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Natasha2012 [34]
3 years ago
15

Find roots of 4x^2-2x+9

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

discriminant= b^2-4ac= (-2)^2-4(4)(9)= -140<0

since discriminant <0, graph is always positive, x has no real roots

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Mick paid 2.94 in sales tax on an item that costs 42 dollars before tax. At that rate how much would he pay in sales tax for an
djverab [1.8K]
Mick would pay $4.06 in sales tax for an item that costs $58.00.

This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.

2.94 ÷ 42 = 0.07

This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)

58.00 × 0.07 = 4.06

Hope I could help!
4 0
4 years ago
Read 2 more answers
Use the properties of exponents to rewrite y=3e^-0.6t in the form y=a(1+r)^t or y=a(1-r)^t. Round the value or r to the nearest
vesna_86 [32]

Answer:

y=3(1-0.451)^t

The value of r is 0.451

The percentage decrease is about 45.1%

Step-by-step explanation:

The given exponential function is y=3e^{-0.6t}

Using the exponent rule, (x)^{ab}=(x^a)^b

y=3(e^{-0.6})^t

Now the value of e^{-0.6}=0.5488

Thus, we can rewrite the function as

y=3(0.5488)^t

Therefore, the function in form y=a(1-r)^t

y=3(1-0.451)^t

The value of r is 0.451

The percentage decrease is about 0.451 ×100 = 45.1%

8 0
4 years ago
If Jaly has 10 bars and shares 5 with Jesse how many does she have left over?
SCORPION-xisa [38]
10 - 5 = 5. July has 5 bars remaining
5 0
4 years ago
An airplane travels 6032 kilometers against the wind in 8 hours and 7312 kilometers with the wind in the same amount of time. Wh
Vladimir79 [104]

Answer:

The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.

Step-by-step explanation:

The airplane travels 6032 km in 8 hours against the wind.

So, u -v = \frac{6032}{8} = 754 ........ (1) {Where u is the speed of plane in still air and v is the wind speed}

Again, the airplane travels 7312 km in 8 hours with the wind.

So, u +v=\frac{7312}{8} =914 ........ (2)

Now, adding equations (1) and (2) we get,

2u = 1668

⇒ u = 834 km per hour.

So, from equation (1), we get  

v = u - 754 = 834 - 754 = 80 km per hour.

Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)

3 0
4 years ago
If a bicyclist travels 30 kilometers in two hours, her average speed is?
Setler79 [48]

Answer:

Step-by-step explanation:

6 0
3 years ago
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