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2 years ago

Solve each equation by completing the square. Write both answers separately.

Mathematics

1 answer:

Veronika [31]2 years ago

7 0

Answer:

Now we can solve a Quadratic Equation in 5 steps: Step 1 Divide all terms by a (the coefficient of x 2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

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Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 , t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876 [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

$876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876$

In percent , $r=0.0876\times100=8.76\%$

Hence, the rate of interest = 8.76%

6 0

3 years ago

1 point

V125BC [204]

Answer:

10. answer= 3

Q11 answer = -3

Step-by-step explanation:

Q10.

-3x+9-x+9=3x-3

or, -4x+18=3x-3

or, 3x+4x=18+3

or, 7x=21

or, x=3 answer

Q11.

1.8-3.7x= -4.2x+0.3

or, 4.2x-3.7x=0.3-1.8

or, 0.5x= -1.5

or, x=-3 answer

5 0

2 years ago

Assume a binomial probability distribution with n=55 and π=0.34 . Compute the following: (Round all your z values to 2 decimal p

Aleks04 [339]

Answer: 0.8588

Step-by-step explanation:

Assume a binomial probability distribution with n = 40 and (symbol looks like a pie sign) = 0.55.

Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.)

The mean and standard deviation of the random variable.

mean = np = 40*0.55 = 22

std = sqrt(npq) = sqrt(22*0.45) = 3.1464

--------------------------------------------------

The probability that X is 25 or greater.

P(25<= x <= 40) = 1 - binomcdf(40,0.55,24) = 0.2142

------------------------------------------------------

The probability that X is between 15 and 25, inclusive.

P(15<= x <=25) = binomcdf(40,0.55,25)-binomcdf(40,0.55,14) = 0.8588

7 0

3 years ago

The0 coach recoreded how fast his runners ran...

Naddika [18.5K]

Answer:

You didn't fully ask the question

Step-by-step explanation:

8 0

2 years ago

17.

mart [117]

Answer: C It is nonlinear, because the object does not fall in a straight line

Step-by-step explanation:

according to its model equation h=-16t" + vt +h,

The equation is in quadratic model which is not a linear equation.

That means that the object fall in a parabolic form.

3 0

2 years ago