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pogonyaev
1 year ago
13

Solve for x:2x^2-5x-3=0​

Mathematics
1 answer:
skad [1K]1 year ago
8 0

Answer:

The value of x = 3 or -1/2

Step-by-step explanation:

2x²-5x-3=0

=> 2x² - 6x + x - 3 =0

=> 2x ( x - 3) + 1 ( x -3) =0

=> (2x+1) ( x-3) =0

x = 3 or x = -1/2

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Mrrafil [7]
A and D have a lower rate than 1/3.
4 0
3 years ago
Alejandro will deposit $1,750 in an account that earns 6.5% simple interest every year. His sister Anallency will deposit $1,675
ivann1987 [24]

Answer: Anallency

Step-by-step explanation:

First, lets make two equations for both siblings, using the base: SI = P(1 + rt) and CI = P(1 + r/n)^nt

Alejandro = 1750(1 + 0.065[4]) = 1750 + 455 = $2,205

Anallency = 1675(1 + 0.075/1)^4 = $2236.91

After 4 years, Alejandro will have $2,205, and Anallency will have $2236.91

Since $2236.91 > 2,205, Anallency will have more money after 4 years.

6 0
2 years ago
Read 2 more answers
Which process will transform Figure H onto Figure K?
posledela

Answer:

Last option (bottom right)

Step-by-step explanation:

Rotate figure H 180° about the origin, then the figure will turn upside down and will be at quadrant 4, then translating it to 2 units right, you'll get figure K

Answered by GAUTHMATH

5 0
3 years ago
I = $60, P = $750, r = 4%, t = ?. Find the amount of time
Anuta_ua [19.1K]

Answer:

The time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

Step-by-step explanation:

Given

  • Interest I = $60
  • Principle P =  $750
  • Interest rate r = 4% = 0.04

To determine

Time period t = ?

Using the formula

I = Prt

t = I / Pr

substitute I = $60, P = $750 and r = 0.04 in the equation

t = 60 / ( 750 × 0.04 )

t = 2  years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

5 0
2 years ago
Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
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