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
Nana76 [90]
3 years ago
14

Need help on #30 and 31 thanks!!

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0
30)

\bf \begin{array}{llll}
y=&{{ a}}x^2&{{ +b}}x&{{ +c}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}

31)


a simple case for that would just be, using an equation with an imaginary value, let's do so

\bf \sqrt{-5}=x\implies \sqrt{-1\cdot 5}=x\implies \sqrt{-1}\sqrt{5}=x\implies i\sqrt{5}=x\\\\
-------------------------------\\\\
\textit{so, we'll use that imaginary value then}\\\\
\sqrt{-5}=x\implies -5=x^2\implies 0=x^2+5\implies \boxed{y=x^2+5}

when you get a "solution" or zero with an "i" or an imaginary value, is just a way to say, there's really no solution, the function never touches the x-axis
You might be interested in
Beatrice has $0.28 in her pocket. What percent of a dollar does Beatrice have?
oee [108]

Answer:

She has 28 percent of a dollar.

Step-by-step explanation:

Please mark brainliest.

3 0
3 years ago
Cookies are sold singly or in packages of 3 or 9. With this​ packaging, how many ways can you buy 18 ​cookies?
Roman55 [17]
You can buy 18 single cookies,
6 packages that contain 3 cookies, or
2 packages that contain 9 cookies.

4 0
3 years ago
An angle of less than 90° is called an.....
Arisa [49]

Answer:

Acute angle

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
2 years ago
Read 2 more answers
Which value is a solution of the equation 3 - 2x=-5?<br> 02<br> 04<br> 0-2<br> 01/5
Vikki [24]
Answer: 04
Explanation: We are given 3-2x=-5. We would subtract 3 from both sides. The equation would then look like this after subtraction from both sides: -2x=-8. We would then divide -2 by both sides so we can isolate the variable. The equation would look like this x=4.
3-2x=-5
-2x=-8
x=4
6 0
3 years ago
Read 2 more answers
Other questions:
  • a car rolls backward from -2 to -10 m/s in 4 seconds. what is the acceleration. PLEASE HELP WILL GIVE BRAINLIEST
    9·1 answer
  • Which figure is not a trapezoid?
    6·2 answers
  • Does 1000 mm go into 100 cm​
    10·2 answers
  • Answer please because no one ever does barely
    12·1 answer
  • __ involves having a variety of investments in your __
    8·1 answer
  • Calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.
    7·1 answer
  • Is the given value of the variable a solution of the equation? Write yes or no. The first one is done for you. 1. x  1  5; x 
    8·1 answer
  • Will someone help me please please please please :D
    5·2 answers
  • Find the area of the right triangle.<br> Be sure to include the correct unit in your answer.
    13·1 answer
  • Which function is positive for the entire interval [-3, -2]?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!