1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hram777 [196]
2 years ago
6

Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x. A) Double root B) Re

al and Rational roots C) Real and Irrational roots D)Non-Real roots
Mathematics
1 answer:
fredd [130]2 years ago
3 0

\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33


so we have a 33, namely two real solutions for that quadratic.


usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.


so 33 can only afford us two real irrational roots.

You might be interested in
Solve for y <br>a. 7 cm<br>b. 20 cm<br>c. 14 cm<br>d. 10 cm​
Rainbow [258]

Answer:

20 cm

Step-by-step explanation:

We can use ratios to solve

We know x = 7 since they are of equal length

x          x+7

----- = -------

10         y

7          7+7

----- = -------

10         y

Using cross products

7y = 14*10

7y = 140

Divide by 7

7y/7 = 140/7

y = 20

7 0
3 years ago
A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per uni
aleksandrvk [35]

Answer:

a. <u>x1 = No. of units to purchase from Iowa</u>

   <u>x2 = No. of units to purchase from Illinois</u>

<u></u>

b. <u>Min 6x1 + 5.5x2</u>

<u></u>

c. <u>x1 + x2 ≥ 12000</u>

   <u>x1 ≤ 8000</u>

   <u>x2 ≥ 6000</u>

Step-by-step explanation:

a. We can consider the variables x1 and x2 as:

<u>x1 = No. of units to purchase from Iowa</u>

<u>x2 = No. of units to purchase from Illinois</u>

<u></u>

b. Price per unit of Iowa corn = $6

   Price per unit of Illinois corn = $5.5

Objective function that would minimize the total cost can be written as:

<u>Min 6x1 + 5.5x2</u>

<u></u>

c. The manufacturer needs at least 12000 units of corn which means that the combined number of units from Iowa and Illinois must be greater than or equal to  12000. So, we can write:

x1 + x2 ≥ 12000

The Iowa cooperative can supply up to 8000 units which means that the value of x1 must not be greater than 8000. So, we can write:

x1 ≤ 8000

Similarly, the Illinois cooperative can supply at least 6000 units which means that the value of x2 must not be less than 6000. So, we can write:

x2 ≥ 6000.

The constraints for these conditions are:

<u>x1 + x2 ≥ 12000</u>

<u>x1 ≤ 8000</u>

<u>x2 ≥ 6000</u>

6 0
2 years ago
Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determ
Alexus [3.1K]

Answer: true false some true

Step-by-step explanation:

5 0
3 years ago
What is the difference between a linear function and a nonlinear function?
gavmur [86]
Linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line
8 0
2 years ago
A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e
ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0
2 years ago
Other questions:
  • (-2p⁻⁵q . 4p⁵q⁻³)²<br><br> Explain with steps
    13·1 answer
  • What is 96/100 in simplest form?
    13·2 answers
  • Rectangle has a perimeter of 48". The length is 4" more than the width. What is the length?
    15·2 answers
  • What is the value of b if 9+b=-8
    14·2 answers
  • Solve: 2x - 3 = 2x - 5. A) -2 B) 0 C) 5 3 D) no solution
    13·2 answers
  • What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
    6·1 answer
  • What is 300 divided by 7
    6·2 answers
  • What is the length of the line segment that begins at (2,6) and ends at (7,6)?
    7·1 answer
  • Round 68.5719758824 to 4 decimal places.
    5·1 answer
  • Kendra Bought p packs of baseball cards there are 14 cards in each pack write an expression that shows how many baseball cards
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!