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3 years ago

8

The method of writing a number with a mixed decimal multiplied by a power of ten us called what

1 answer:

mario62 [17]3 years ago

3 0

I believe its an exponent.

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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

A bank paid 2.3% interest on a money market account. What is 2.3% written as a decimal

DochEvi [55]

$1\%\ \ \rightarrow\ \ \frac{1}{100}=0.01 \\\\2.3\%\ \ \rightarrow\ \ x\\\\x= \frac{2.3\%\cdot0.01}{1\%} \ \ \ \Rightarrow\ \ \ x=0.023$

7 0

3 years ago

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Here are 5 cards with a picture of a rose and 3 cards with a picture of a daisy. Alia keeps all the cards down on a table with t

Sergio039 [100]

4 over 7 because, she takes away a rose card from the total 8 cards she has, but also takes away a card from the total amount of cards.

Then again, I might be wrong :P

7 0

3 years ago

How many solutions would it have none infinite or one ?

Jlenok [28]

Answer:

c

Step-by-step explanation:

c

8 0

2 years ago

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Estimate the difference.<br><br> 9,136 - 3,572

olga2289 [7]

Answer:

5500..?

Step-by-step explanation:

6 0

3 years ago

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