Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.2x^2 + x - 1 = 0
4/3x^2 - 2x + 3/4 = 0

Answers

Answer 1
Answer: Discriminant is b²-4ac in a quadratic equation Ax²+ Bx+C=0.

If the value of discriminant is less than zero, then the equation has two complex solutions
If the value of the discriminant is equal to zero, then the equation has one solution
If the value of the discriminant is more than zero, then there will be two real solutions.

Just plug in your values and you'll get the right answers.

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Which expression is equivalent to 10 - 810−810, minus, 8?

NEED HELP ASAP PLEASE!

Answers

Answer:

The answer to your question is the third option

Step-by-step explanation:

a) This first option is not correct because if a number is less or equal to zero does not affect in if it is a function or not.

b) It option is incorrect because each value of x has two values or y and the defition of function says that x must have only one y value.

c) This is the definition of function, it's correct

d) This option is wrong, is similar to the first option.

A recursive function is shown below:f(1) = 2 and f(n) = f(n - 1) - 5; n > 1

Which of the following lists the terms in the sequence defined by this recursive function? (4 points)


2, 3, 8, 13, 18, ...
2, 7, 12, 17, 22, ...
2, -3, -8, -13, -18, ...
2, -7, -12, -17, -22,

Help ill give medal or anything!!!

Answers

f(1)=\fbox2\ and\ f(n)=f(n-1)-5\n\underline{f(2)}=f(2-1)-5=f(1)-5=2-5=\fbox{-3}\n\underline{\underline{f(3)}}=f(3-1)-5=\underline{f(2)}-5=-3-5=\boxed{-8}\nf(4)=f(4-1)-5=\underline{\underline{f(3)}}-5=-8-5=\boxed{-13}\n\vdots\nAnswer:\boxed{\boxed{2;-3;-8;-13;-18;...}\leftarrow answer}

2. Solve for x. SHOW YOUR WORK.

Answers

Answer:

x=9

Step-by-step explanation:

The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.

4x+2=7x-25\n2=3x-25\n3x=27\nx=9

First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.

Gavyn can type 100 words a minute. How many words can be typed in 6.5 minutes? please help :(

Answers

Answer:

650

Step-by-step explanation:

Direct proportion

words:minute

100: 1

x:6.5

650=x

hence 650 words

hope this helps :D

Answer:

650

Step-by-step explanation:

100 words in 1 minute

.°. 600 words in 6 minutes

and

100 words in 1 minute

.°. 50 words in 30 secs

.°. total 650 words in 6.5 minutes

Which is bigger 78%, 0.8

Answers

Answer:

.8

Step-by-step explanation:

.8 when turned into a percentage becomes 80%

.8/1 = %80

78% is less than %80

Answer: 0.8

NOT SURE!

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the population mean. He selects and weighs a random sample of 49 trucks and finds the mean weight is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95% confidence interval for the population mean?

Answers

Answer:

(14.7 , 16.9)

Step-by-step explanation:

it is given that \bar{x}=15.8 tons

σ=3.8 tons

n=49

at 95% confidence level α=1-.95=0.05

z_(\alpha )/(2)=z_(0.05)/(2)=z_(0.025)\n

=1.96 ( from the standard table)

at 95% confidence level the coefficient interval for μ is

\bar{x}\pm z_(\alpha )/(2)* (\sigma )/(√(n))

15.8\pm 1.96* (3.8)/( √(49))

15.8\pm 1.1

(14.7, 16.9)