All categories

2 years ago

How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Mathematics

1 answer:

AnnyKZ [126]2 years ago

7 0

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form: 3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots

You might be interested in

QUESTION: Determine if the statement is true or false? if false give an counterexample.

Jobisdone [24]

Answer:

False

Step-by-step explanation:

Actual question is:

logf 4(3d) + log4 1 = log4 3d

Solution:

logf 4 + logf (3d) + 0 = log4 (3d)
logf 4 + logf (3d) = log4 (3d)

If we assume f = 4, then

log4 4 + log4 (3d) = log4 (3d)
log4 4 = 0

but log4 4 = 1

1 = 0 is impossible

Therefore the statement is False

5 0

1 year ago

What’s the correct answer ???

Svetlanka [38]

The correct answer is the second one

7 0

2 years ago

The perimeters of two squares are in the ratio 2 : 4. The perimeter of

Bess [88]

Answer:

Step-by-step explanation:

2 : 4

8 : 16

8 0

2 years ago

Find the simple interest rate needed in order for an investment of $2000 to grow to an account of $5000 in 3 years

Nutka1998 [239]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5000\\ P=\textit{original amount deposited}\dotfill&\$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 5000=2000(1+r3)\implies \cfrac{5000}{2000}=1+3r\implies \cfrac{5}{2}=1+3r \\\\\\ 5=2+6r\implies 3=6r\implies \cfrac{3}{6}=r\implies 0.5=r\implies \stackrel{\textit{converting to percent}}{0.5\cdot 100\implies 50\%}$

5 0

2 years ago

A quickie. If n identical dice are rolled, number of possible outcomes are?

nata0808 [166]

In rolling one die, there are 6 possible outcomes because each die has 4 faces. The number of outcomes when rolling n dice is equal to 6^n. By this, the number of outcomes when 2 dice are rolled is 36, 216 for 3 dice, and so on.

4 0

2 years ago