All categories

2 years ago

3x^2-5=0 completing square

Mathematics

1 answer:

Valentin [98]2 years ago

5 0

It would be good if you add the answers choice, but I guess it’s (b/2)^2

You might be interested in

Suppose you take out a loan for $9,000, at 12% ordinary interest. If the amount of interest is $762.00, what is the time period?

DaniilM [7]

For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>

3 0

3 years ago

Jean has 1/3 cup of walnuts for each serving of salad she makes. She has 2 cups of walnuts. How many serving can she make?

grandymaker [24]

1/3 cup per servings mean 3 servings per cup
3 servings x 2 cups= 6 servings total

4 0

3 years ago

Read 2 more answers

The half life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

Veronika [31]

Using an exponential function, it is found that:

a) $N(t) = 75(0.5)^{\frac{t}{3.8}}$

b) 37.5 grams of the gas remains after 3.8 days.

c) The amount remaining will be of 10 grams after approximately 11 days.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

Item a:

We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:

$N(t) = 75(0.5)^{\frac{t}{3.8}}$

Item b:

This is N when t = 3.8, hence:

$N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5$

37.5 grams of the gas remains after 3.8 days.

Item c:

This is t for which N(t) = 10, hence:

$N(t) = 75(0.5)^{\frac{t}{3.8}}$

$10 = 75(0.5)^{\frac{t}{3.8}}$

$(0.5)^{\frac{t}{3.8}} = \frac{10}{75}$

$\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}$

$\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}$

$t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}$

$t \approx 11$

The amount remaining will be of 10 grams after approximately 11 days.

More can be learned about exponential functions at brainly.com/question/25537936

4 0

2 years ago

Adding or subtracting fractions with different denominators

Bas_tet [7]

Step-by-step explanation: You can't continue on with the problem until the denominators are the same. So you need to find the LCD (Least Common Denominator). For example...

$\frac{1}{2} +\frac{1}{3}$ The LCD is six