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.
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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
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
Solve the inequality.
6t+7≥25
plz show work how u got the answer to be marked as brainlyest
Sorry this isnt an answer, but i need more information to be able to answer this question! there isnt a photo or any more text attached
Answer
the answer is 91 miles per hour
Step-by-step explanation:
divide 728 by 8
Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
1 0.84 kilograms
2 0.8 kilograms
3 0.85 kilograms
4 1 kilograms
Answer:
0.85 kilograms
Step-by-step explanation:
The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.
The nearest hundredth can also mean rounding up to 2 decimal places.
We are asked to round up 0.845 to the nearest hundredth
The nearest hundredth is the second number after the decimal = 4
The third number after the decimal = 5, hence we add 1 to 4 , making it 5.
Hence:
0.845 kilograms to the nearest hundredth = 0.85 kilograms
using your value of x from question #11, find the measure of angle h .none of this makes any sense to me at all so if y'all get it right amen will mark brainiest this is so hard ty so much
Answer:
∠H = 58Step-by-step explanation:
using the value of x = 20 from number 11
solve the angle H
∠H = 3x - 2
plugin the value of x=20 into the equation
∠H = 3(20) - 2
∠H = 58
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.
What is the sum of 13 + (-8)?
-5
5
-21
21
Answer:
Step-by-step explanation:
5
what is the quotient of 4/5 divided by 1/3 2 and -----------
Answer:
2 2/5
Step-by-step explanation:
i just googled this srry
Answer:
2 2/5
Step-by-step explanation:
Removing which ordered pair will make the relation a function?
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°
At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answer:
13 3/5 inches per hour
Step-by-step explanation:
If at 2 there is 23 inches and then at 7 there is 45, it has been 5 hours. Taking the mean (average) is just taking 45+23 and dividing it by 5. That gives you 68/5 which simplified to a mixed number is 13 3/5. So, there was a mean of 13 3/5 inches of snowfall hourly. Hope that helps!
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
ill put in 50 brainly points
Answer:
x=4 and y=2
Step-by-step explanation:
The correct equation is,
⇒ y = - x + 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 4 (x - 2 + y) = 4
Now, Simplify the expression as;
⇒ 4 (x - 2 + y) = 4
⇒ x - 2 + y = 4/4
⇒ x - 2 + y = 1
⇒ x + y = 1 + 2
⇒ x + y = 3
⇒ y = - x + 3
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HEEEEEELP PLZZZZZ I NEEED IT LIKE NOW
For a field trip 23 students rode in cars and the rest filled five buses. How many students were in each bus if 288 students were on the trip?
Answer:
288 (DIVIDED) by 23=
12.5217391304 ROUNDED UP=
About 13 students per bus.
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
What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?
Answer:
-2
Step-by-step explanation:
10-8=2
8-6=2
6-4=2
4-2=2
The common difference of the given A.P. is -2.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -
a[n] = a + (n - 1)d
We have the following sequence 10, 8, 6, 4, ... .
We have -
10, 8, 6, 4, ...
The common difference of the given A.P. is -
d = 8 - 10 = 6 - 8 = 4 - 6
d = - 2
Therefore, the common difference of the given A.P. is -2.
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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
Find the area of a circle with a radius of 6 centimeters. Use 3.14 for π.
Enter the correct answer in the box.
Answer:
28.27
Step-by-step explanation:
Area = 1/4(3.14)(d^2)
Area = 28.27
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.
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 relations, if any, are functions? Select all that apply.
ayooooo the functions: a and d.
BRAINLIEST TO FIRST PERSON WHO IS CORRECT
Answer:
11 1/4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Here's what Gabriel and Kayla actually wrote.
Gabriel: 3x+6
Kayla: 3(x+2)
These expressions are equivalent.
What do you think that means?
0.02 divided by 924.3
Answer: 0.00002163799
Step-by-step explanation:
Answer:
46,215
Step-by-step explanation:
you just have to divide the bigger number first and then the smallest
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!
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
the graph opens upward
the graph is steeper then the graph of f(x) = x2
and the graph is the same as the graph of f(x)=6x2 + 12x -3
Step-by-step explanation:
The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph f(x) = 6(x + 1)2 -9.
What is a function?A function can be thought of as an output for the given set of inputs.
Given f(x) = 6(x + 1)² - 9.
f(x) = 6( x² + 2x + 1) - 9.
f(x) = 6x² + 12x + 6 - 9.
f(x) = 6x² + 12x - 3.
The graph opens upward as the coefficient of x² is positive.
The graph is steeper than x² as it has a multiplication factor of 6.
The graph is the same like f(x) = 6x² + 12x - 3 as we have already found out by simplifying.
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“) Order the values from least to greatest.
HHHH
3
2
13
1
5
5
-2-
Identify the following series as arithmetic, geometric, both, or neither.
Answer:
arithmetic
Step-by-step explanation: Hope this helps :)
A television game show has 11 doors, of which the contestant must pick 3. Behind 3 of the doors are expensive cars, and behind the other 8 doors are consolation prizes. The contestant gets to keep the items behind the 3 doors she selects. Determine the probability that the contestant wins at least one car.
For there to be 1 car, we consider two possible outcomes:
The first door opened has a car or the second door opened has a car.
P(1 car) = 2/6 x 4/5 + 4/6 x 2/5
P(1 car) = 8/15
For there to be no car in either door
P(no car) = 4/6 x 3/5
P(no car) = 2/5
Probability of at least one car is the sum of the probability of one car and probability of two cars:
P(2 cars) = 2/6 x 1/5
= 1/15
P(1 car) + P(2 cars) = 8/15 + 1/15
= 3/5