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inysia [295]
2 years ago
11

Write the quadratic equation whose roots are -4 and -1 and whose leading coefficient is 2

Mathematics
1 answer:
EleoNora [17]2 years ago
6 0

Answer:

Below

Step-by-step explanation:

here is the factored form of a quadratic equation :

     f(x) = a ( x +/- n ) ( x +/- n )

We can just plug in what we know into this form :

     f(x) = 2 ( x + 4 )( x + 1 )

If you were to plug this into desmos it will show you the graph!

Hope this helps!

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A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35
Maslowich

Answer:

1,539

Step-by-step explanation:

Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to

\large \frac{Z^2pq}{e^2}

where

<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9) </em>

<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35 </em>

<em>q = 1-p = 0.65 </em>

<em>e = the error proportion = 2% = 0.02 </em>

Making the calculations

\large \frac{Z^2pq}{e^2}=\frac{(1.645)^2*0.35*0.65}{(0.02)^2}=1,539.09

So, the sample size should be 1,539 young urban people (ages 21 to 35 years)

6 0
3 years ago
Solve the equation 3x + 6y = 18 for x
ankoles [38]
<span>3x + 6y = 18
3x =  18 - 6y
  x =  6 </span>- 2y <span>

answer

</span><span>B). x = 6 - 2y </span>
5 0
3 years ago
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You plan to set up an endowment at your alma mater that will fund $209,000 of scholarships each year indefinitely. If the princi
Leto [7]

Answer:

$199,047.62

Step-by-step explanation:

PV = X(1+i)^nm

X=$209000

i=5% = 0.05

n=1

m=1

Pv=$209000(1+0.05)^-1x1

Pv=$209000(1.05)^-1

Pv=$209000(1/1.05)

Pv=$209000/1.05

Pv=$199,047.62

$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.

6 0
3 years ago
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
In josh’s classroom the teacher has 625 pencils to pass out to 25 students. If the same number of pencils is given to each stude
stiv31 [10]

Answer: 25 pencils each

8 0
3 years ago
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