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Vsevolod [243]
3 years ago
13

3x^2+23x+14=0 Solve for x. Show your work. ( please help )

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0

Answer:

-7or in fraction form -2/3

Step-by-step explanation:

Factor left side of equation.

(3x+2)(x+7)=0

Now afterwards Set factors equal to 0.

3x+2=0 or x+7=0

Igoryamba3 years ago
5 0

Answer:

x=-2/3 or x=-7

Step-by-step explanation:

equation:3x^2+23x+14=0

use quadratic formula -b+ or- √(b)^2-4ac/2a

OR

factor left side of equation:

(3x+2)(x+7)=0

Step 2: Set factors equal to 0.

3x+2=0 or x+7=0

x= -2/3

or x=−7

hope this helps!

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Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean
Orlov [11]

Answer:

Step-by-step explanation:

Given Parameters

Mean, x = 180

total samples, n = 20

Standard dev, \sigma = 30

\alpha = 1 - 0.95 = 0.05 at 95% confidence level

Df = n - 1 = 20 - 1 = 19

Critical Value, t_\alpha, is given by

t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729

a).

Confidence Interval, \mu, is given by the formula

\mu = x +/- t_c \times \frac{s}{\sqrt{n} }

\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }

\mu = 180 +/-11.5985

191.5985 > \mu > 168.4015

b).

Critical Value, t_{\alpha/2}, is given by

t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093

Confidence Interval, \mu, is given by

\mu = x +/- t_c \times \frac{s}{\sqrt{n} }

\mu = 180 +/- 2.093 \times \frac{30}{\sqrt{20} }

    = 180 +/- 14.0403

    = 165.9597 < \mu < 194.0403

8 0
3 years ago
One number is three less than another number. If their sum is 49, find the two numbers.
Vinil7 [7]

Answer:

21 and 28

Step-by-step explanation:

8 0
3 years ago
You plan to acquire a sinusoidal signal that repeats 250 microseconds. What should be the minimum sampling rate of the digital s
Phoenix [80]

Answer: F = 25.1 kHz

Step-by-step explanation:

Time (period) = 250 × 10^-6 s

Let's first calculate the folding frequency. Given by 

NF (rad s-1) = π/Δt

where NF = Nyquist frequency

 t  = time increment between observations.

The original signal must be filtered by analog or physical methods to remove all frequencies higher than the Nyquist frequency before the signal is sampled or digitized.

F = 3.143/0.00025

F = 12566.37Hz

minimum sampling rate = 2F

2 × 12566.37 = 25132.74Hz

minimum sampling rate  = 25.1 KHz

5 0
3 years ago
Todd is able to pay $180 a month for 5 years for a car. if the interest rate is 4.9 percent, how much can todd afford to borrow
vlabodo [156]
If you turn the years into months(60) and multiply it by the 180 per month =, you end with 10,800 then multiply that by .49 because its a percent and get a total of 5,292. Finally add the 10,800 and 5,292 and the answer is $16,092.
6 0
3 years ago
Can someone help me with this?
Firdavs [7]

Answer:

$17.64

Step-by-step explanation:

$15.50   and  $5.50

with 20% off

and 5% sales tax.

take the 20% first.

(15.50 + 5.50) * ( 100 - 20) %   = 21 *0.8 =  $16.80

now add the tax

0.05 * 16.80 + 16.80 =  $17.64

8 0
3 years ago
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