A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

Find the zero of the function by rewriting the function in intercept form

Marat540 [252]

Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y

Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0

Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)

Solution 1
4x + 1 = 0
4x = -1
x = -1/4

Solution 2
x - 5 = 0
x = 5

SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5

4 0

4 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

,

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

PLEASE HELP ASAP!!!!!

padilas [110]

The measure of the central angle is 4 radians

<h3><u>Solution:</u></h3>

Given that central angle of a circle intercepts an arc of length 28 centimeters

The radius of the circle is 7 centimeters

<em><u>To find: measure of the central angle in radians</u></em>

The arc length of circle when $\theta$ is measured in radians is given as:

$s = r \theta$

Where "s" is the arc length

"r" is the radius of circle

$\theta$ is the central angle in radians

Substituting the values in formula,

$28 = 7 \times \theta\\\\\theta = \frac{28}{7} = 4$

Thus the measure of the central angle is 4 radians

7 0

4 years ago

A political analyst conducted an observational study in 2014 that measured the rate of voter dissatisfaction with the United Sta

Ilia_Sergeevich [38]

Based on the results of the study, the conclusion which is valid is There is correlation between the increase in the rate of televised political attack ads since the previous congressional election and the rate of voter dissatisfaction in the observed districts.

<h3>What does the study conclude?</h3>

The study showed that the rate of voter dissatisfaction in the districts since the previous election cycles is similar to the rate of increase of televised political attack ads.

The fact that both the rate of voter dissatisfaction and televised political attack ads moved together means that they correlate with each other.

It is important to note however, that correlation does not equate causation so there might be no link between the two rates.

Find out more on correlation at brainly.com/question/26998752

#SPJ1

5 0

2 years ago

I need help I’ve been trying to figure this one out could get it

erastovalidia [21]

Answer:

The result is 7.8 * 10^3

Step-by-step explanation:

When we are dividing in scientific notation, divide the numbers in front

7.8/1 = 7.8

Subtract the exponents on the powers of 10

10^(7-4) = 10 ^3

The result is 7.8 * 10^3

3 0

3 years ago