All categories

3 years ago

Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j^2 + 3j – 28 = 0

1 answer:

8 0

$\bf \begin{array}{lcccll}
& -4j^2& +3j& -28\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad \qquad discriminant\implies b^2-4ac
\\\\\\
(3)^2-4(-4)(-28)=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}$

You might be interested in

A mural of Elvis Presley takes 56 days to complete by seven painters 28 volunteers join the team after the first six days how ma

denpristay [2]

Answer:

10 days

Step-by-step explanation:

We are given that

Each person takes 56 days

7 painters take time= $56\times 7=392$ painter days

In first 6 days , 7 painters take time= $7\times 6=42$ painter days

After 6 days , 28 volunteers are added then,

Total persons=28+7=35

Now, remaining days=392-42=350

Therefore, number of days are required before the painting of the king of rock 'n' roll is completed= $\frac{350}{35}=10$ days

Hence,10 more days are required before the painting of the king of rock 'n' roll is completed

6 0

3 years ago

Find the measures of the interior

Ainat [17]

Answer:

Angle 1 = 108°

Angle 2 = 72°

Angle 3 = 120°

Angle 4 = 96°

Angle 5 = 144°

Step-by-step explanation:

We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

$9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12$

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

6 0

3 years ago

Do you know what 2/9 x 3 is?

ohaa [14]

Answer:

$answer = \frac{2}{3}$

$\frac{2}{9} \times \frac{3}{1} \\ = \frac{6}{9} = \frac{2}{3}$

7 0

3 years ago

Read 2 more answers

Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown

Butoxors [25]

i'm 85% certain the answer is C. Fiona is not correct because the coin will definitely land in the white area .

8 0

3 years ago

Why is the answer to a subtraction problem called the difference...

lana [24]

Maybe because you're finding the "difference" between the two numbers. We could also question why the answer to an addition problem is called sum.
Well, 'sum'body said that's what they should be called a long time ago, that's why we're using that term to call them now.

3 0

3 years ago