Which trinomial is a perfect-square trinomial?

Which of the following does not have a ratio of 2:3:4?

Ksju [112]

2 does not have a ratio

5 0

3 years ago

9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

thirty five percent of the revenue produced at the auction will go to the charity. the morning participants spent an average of

spin [16.1K]

I'm not sure that I am 100% right but I'll give it a shot.
50+75= 125*0.35=43.75
$43.75

4 0

3 years ago

Anyone know 14!!!!! Please help me!!!!!:(

asambeis [7]

-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;

-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.

I can see the function right now, but I'll show you how to go through the steps to
find the function. I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ?
Somebody give me the answer !".

Just take a look at what has already been handed to you:

0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees

You know three points on the line !

(0, 65) , (1, 62) , and (2, 59) .

For the first point, 'x' happens to be zero, so immediately
you have your y-intercept ! ' b ' = 65 .

You can use any two of the points to find the slope of the line.
You will calculate that the slope is negative-3 . . . which you
might have realized as you read the story, looked at the numbers,
and saw that they are firing 3 employees per month.
("Losing" them doesn't quite capture the true spirit of what is happening.)

So your function ... call it ' W(n) ' . . . Workforce after 'n' months . . .

is W(n) = 65 - 3n .

4 0

3 years ago

A couple quick algebra 1 questions for 50 points!

kirill [66]

All the relevant transformations are as shown in the explanations below.

<h3>How to Interpret Transformations?</h3>

We are given the original function as y = x and told the transformation is as follows;

1) y = x + 5; This means that the function was shifted 5 units to the left.

2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.

3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.

4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.

5) y = x - 11; This means that the function was shifted 11 units to the right.

6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.

7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.

Read more about Transformations at; brainly.com/question/4289712

#SPJ1

6 0

2 years ago