Ask question

Ask question

All categories

Natasha2012 [34]

3 years ago

15

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

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

You might be interested in

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