If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.
Answer:
A. There are two complex roots
Step-by-step explanation:
Just took the test
If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Discriminant of quadratic equationThe discriminant of a quadratic equation is given as;
[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]
A discriminant of negative 8 falls with last category in the solution above.
[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]
[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]
Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614
Multiply 11.3 x 4.16
Answer:
47.008
Step-by-step explanation:
20 POINTS WILL MARK BRAINLIEST PLEASE EXPLAIN
Answer:
DCE is 54°
Step-by-step explanation:
To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:
for angle EDC: 180 - (9x - 31)
for angle CED: 180 - (4x + 33)
for angle DCE: 180 - (7x - 2)
we know that all angles in a triangle add up to 180°. So, our equation is:
180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.
simplify:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180
540 - 20x = 180
540 - 180 = 20x
360=20x
x= 18
for angle EDC: 180 - (9•18 - 31)=49°
for angle CED: 180 - (4•18 + 33)=75°
for angle DCE: 180 - (7•18 - 2)=54°
Solve the inequality.
6t+7≥25
anyone one know how to solve this? you can use any method (x-1)(x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1)
Answer:
the answer is x^12-1
steps are in pdf
What is the remainder of 2x3 − 7x2 + 5x − 1 divided by (x − 3)?
−211
5
−133
2
By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),
p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5
Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?
a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.
Answer:
c. Both Tami and Vu performed equally well.
Step-by-step explanation:
To solve this question, we use z score
The formula for calculating a z-score is is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation.
a) For Tami , who took MCAT
We are told:
Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.
x = 524.2 points
μ = 505.6 points
σ = 9.3 points
z = 524.2 - 505.6/9.3
= 2
The z score for Tami is 2
For Vu, who took LSAT
We were told:
Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.
x = 171.1 points
μ = 150.7 points
σ = 10.2 points
z = 171.1 - 150.7/10.2
z = 2
The z score for Vu is also equal to 2
Therefore, we can say the bout Tami and Vu performed equally well.
Option c is the correct answer.
What is the inverse of f(x) =1/3x+2
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
[tex]9\frac{3}{4} = \frac{39}{4}[/tex] Plug 39/4 in: 39/4 ÷ 5/839/4 ÷ 5/8 = 39/4 × 8/539/4 × 8/5 = 312/20[tex]\frac{312}{20} = 15.6[/tex]I hope this helps!
Answer:
15 3/5
Step-by-step explanation:
9 3/4 ÷ 5/8
39/4 ÷ 5/8
39/4 x 8/5
39 x 8 / 4 x 5
312 / 20
312 ÷ 4 / 20 ÷ 4
78/5, or 15 3/5
Which number is the opposite of -3?
3
-3
0
Answer:
positive 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation: The opposite of -3 is positive 3
Calculating the right recipe for Jerome 22 people are running in tomorrow’s world racing drone thinks they will each want to cups of energy drink how much water and how much drink make sure Jerome used to make enough energy drink for all the runners create a table and show your work and explain in writing your results
Answer:
you need to provide more information lol
Step-by-step explanation:
e
After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?
Linear equation:
1
2
(x - 3) = 9
Which of the following is an equation that involves a variable under a radical sign?
Quadratic Equation
Radical Eqaution
Exponential Equation
Linear Equation
Which fraction is equivalent to 0.018?
55
2.
111
9
500
17
900
Please help
Answer:
0.018=9/500 as a fraction
Step-by-step explanation:
3 new tires for $210; 4 new tires for $250
Answer:
3 new tires for $210; 4 new tires for $250
Step-by-step explanation:
HELP ASAP !!!! WILL MARK BRANLIEST !
A group of students is investigating whether wheels affect the force of friction. The students push two boxes each with the same force on a table. One box has wheels and the other does not have wheels. The distance traveled by each box is shown.
Experimental Observations
Student 1 Student 2 Student 3 Student 4
Distance traveled by box with wheels 24 cm 22 cm 20 cm 23 cm
Distance traveled by box without wheels 12 cm 14 cm 15 cm 13 cm
Which step should the students take next?
Make a hypothesis
Test another variable
Analyze the results
Share their conclusion
Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.
So they should; Share their conclusion
Step-by-step explanation: This really ez
What is this answer it says it’s wrong
Answer:
[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]
Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2
Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!
BRAINLIEST TO FIRST PERSON WHO IS CORRECT
Answer:
11 1/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
44756 divided by 167
Answer:
268
Step-by-step explanation:
hope this helps if not im sorry
256=(1/4)3x+2Solve the exponential equation for x.
Answer:
Exact Form:
x =1016 /3
Decimal Form:
x = 338. ¯ 6
Mixed Number Form:
x = 338 2/3
Step-by-step explanation:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145145 millimeters, and a standard deviation of 77 millimeters. If a random sample of 3131 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 33 millimeters
Answer:
The probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174
Step-by-step explanation:
[tex]Mean = \mu = 145 mm[/tex]
Standard deviation =[tex]\sigma = 7[/tex]
We are supposed to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters
[tex]P(|x-\mu|>33)=1-P(|x-\mu|<3)\\P(|x-\mu|>33)=1-P(-3<|x-\mu|<3)\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{\sigma}{\sqrt{n}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{\sigma}{\sqrt{n}}})\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{7}{\sqrt{31}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{7}{\sqrt{31}}})\\P(|x-\mu|>33) =1-P(-2.38<z<2.38)\\P(|x-\mu|>33) =1-(P(z<2.38)-P(z<-2.38))\\[/tex]
Using Z table
= 1-(0.9913-0.0087)
=0.0174
Hence the probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174
what is the expanded form of 5.629
Answer:
5
+ 0.6
+ 0.02
+ 0.009
Step-by-step explanation:
5 × 1
+ 6 × 0.1
+ 2 × 0.01
+ 9 × 0.001
5 × 100
+ 6 × 10-1
+ 2 × 10-2
+ 9 × 10-3
all of them are correct
Helium (He), Neon (Ne), Argon (Ar), Krypton (Kr), Xenon (Xe), and Radon (Rn) have a completely filled outer electron shell and are therefore called inert gases. What do the inert gases have in common?
1.They behave similarly in chemical reactions
2.They have the same number of protons
3.They have the same number of electrons
4.They belong to the same period
Answer:
The answer would be 1.
Answer:
They behave similarly in chemical reactions
Step-by-step explanation:
Because their atomic numbers are different, the elements each have a different number of protons and electrons. They belong to the same group, not the same period.
The present age of ken and tammy are in the ratio of 2:5. In 6 years from now the ages will be in the ratio of 4:7. What are their present ages?
Answer:
Step-by-step explanation:
k=2
t=5
2+6=4 6=2 1=3
2=6
5=15
Now their ages are 6:15
I need some help? I don't understand math at all.
Answer:
I think its 4 but not 100% sure.
264-10=16+52
Add 10 to both sides
264=16+62
subtract 16 from both sides
248=62
Divide and i got 4.
Carlos is having a big party. He invited 5 times as many children as adults. He invited 15 adults. Which equation shows how to find the number of children invited to the party?
Answer:
75 children.
Step-by-step explanation:
If the amount of children is 5 times as many adults, you just need to multiply 15x5.
15x5=75 The number of children invited to the party is 75.
If you wanted this in an algebraic equation, it would look similar to this...
15(5)=x To solve for x, multiply 15 by 5.
75=x
Hope this helps! Have a great day ^^
50 points for ever answers
i think 1st one is the answer
Identify the following series as arithmetic, geometric, both, or neither.
Answer:
arithmetic
Step-by-step explanation: Hope this helps :)
Lydia made $56,750 last year. She paid $1200 in student loan interest and
made a $3000 contribution to her IRA. On her federal tax return, she will claim
$52,550 to be her
A. taxable income
B. standard deduction
C. gross income
D. AGI
Answer:
Its AGI
Step-by-step explanation:
Source(s): dude, trust me
In the cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the ratio of milk cartons taken to total milk cartons put out for breakfast.
Answer:
3:5
Step-by-step explanation:
There were 100 milk cartons there and someone took 100-x=40. Add 100 on both sides 40-100=-60 so 60 milk cartons were taken. So the ratio would be 60:100, which can be simplified further 30:50 15:25 3:5.