The discriminant of the equation 3x² - 6x + 5 = 0 is -24
Given,
The equation; 3x² - 6x + 5 = 0
We have to find the discriminant of the equation;
Discriminant of equation;
Any equation with the formula ax2 + bx + c = 0 and an alpha value of 0 is a quadratic equation. The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not.
Here,
a = 3
b = -6
c = 5
Then,
Discriminant, D = b² - 4ac
D = -6² - 4 × 3 × 5
D = 36 - 60
D = -24
That is,
The discriminant of the equation is -24
Learn more about discriminant of the equation here;
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WILL CROWN BRAINLIEST!!! ALGEBRA!
Max and Maggie have to clean the house. It takes Max 9 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Answer:
3 hours
Step-by-step explanation:
Max cleans the house in 12 hours
Max in 1 hour cleans: 1/12 part of the house
Maggie cleans the house in 4 hours
Maggie in 1 hour cleans: 1/4 part of the house
In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work
1 hour===1/3 work
X hours== 1 work
X/3 = 1
X = 3 hours.
Hence, they together complete the work in 3 hours.
And so, the sister is correct.
Hope it helps.
can i get some help please i would really appreciate it ;)
May someone please help me with this:)
Answer:
i think its 64
Step-by-step explanation:
Kris is performing an experiment in math class using a bag of colored
blocks. He will draw one block out of the bag at a time and record its
color. He has three blue blocks, two red blocks, and one green block.
Which of the following represents the sample space of the bag?
1) blue, blue, blue
2) red, green, blue
3) blue-red, blue-green, red-green
4)blue, blue, blue, red, red, green
Answer:
The answer is red, green, blue.
Step-by-step explanation:
Evaluate the expression when a = 3.
2a =
Answer:
6
Step-by-step explanation:
replace a by 3
when a=3
2(3)=6
The box plot represents this data set
20,25,30,38,40,42,45,50,65,70
what value does the letter E represent on the box plot of the data?
I------------| | |-----------|
A B C D E
Answer:
Step-by-step explanation:
In your diagram, E appears to be the MAXIMUM value of the data (70).
HELP FAST giving 5 stars
Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4
HELP ME PLEASE
In square PQRS the measure of <PRQ is 45°. What is the measure of <PRS in degrees?
Answer:
<PRS = 45
Step-by-step explanation:
In a square, all 4 angles are complementary so:
<PRS + <PRQ = 90
<PRS + 45 = 90
<PRS = 45
7. The price of a bike at Store A is 5/6 the price at store B. The price at store A is $150.60. Write and solve an equation to find out how much the bike is at store B. How much did you save by buying the bike at Store A.
As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.
Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.
[tex]\frac{5}{6}[/tex] * b = 150.60
Try "translating" the equation above. "5/6 of the price of a Store B bike is equal to 150.60." That seems about right, doesn't it? Let's isolate 'b' so we can get an official answer.
Multiply both sides by 6 to get rid of the denominator:
[tex]\frac{5b}{6}[/tex] * 6 = 150.60 * 6
5b = 903.6
Divide both sides by 5 to get rid of b's coefficient:
[tex]\frac{5b}{5}[/tex] = [tex]\frac{903.6}{5}[/tex]
b = 180.72
The price of a bike from Store B is $180.72
If you need any help on anything I just did here, don't be afraid to ask. Good luck on your Algebra endeavors!
- breezyツ
The head of a carriage bolt is circular, as shown. The head of this bolt has a diameter of 20 millimeters.
Which measurement is closest to the area of the head of this bolt in square millimeters?
A. 1,256 square millimeters
B. 63 square millimeters
C. 314 square millimeters
D. 31 square millimeters
Boundxvoltz967 avatar
Boundxvoltz967
19 minutes ago
Mathematics
High School
*WILL GIVE BRAINLIEST FOR BEST ANSWER DONT ANSWER IF YOU DONT KNOW AND NO VIRUS LINKS OR I WILL REPORT YOU!!!*
A computer randomly selects a number from the given set.
{2, 4, 6, 9, 16, 44, 51, 60, 78}
What is the probability that a number less than 10 is selected?
Enter your answer as a fraction, in simplest form, in the box.
P(< 10) =
Question 3 options:
A. 59
B. 49
C. 29
D. 89
Answer:
ur gay.....lollllllllllllllllllll
Step-by-step explanation:
milk
add me on sn4p h4h4...... sophia_ordaz12
Answer:
ok
Step-by-step explanation:
help no links please
Answer:
Impossible
Step-by-step explanation:
Good luck
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answer:
.7
Step-by-step explanation:
questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
Given the following system of equations: 2x + 3y = 12
2x - 2y = 2
What is the value of x + y?
Answer:
5
Step-by-step explanation:
2x + 3y = 12
2x - 2y = 2 // subtract second equation from first
5y = 10
y = 2
x = (2 + 2y) / 2 = y + 1 = 3
x + y = 5
PLEASE help it’s due today at 10pm
Graph the functions y=4^x+4-4 and y=4^x describe the translation in words between these two functions starting from y=4^x to y=^x+4-4.
Answer:
The two graphs are on the same place.
The translation from the first one to the second one implies a shift upwards of 4 units, and then a shift downwards of 4 units, resulting in the starting position.
what is the slope of the line below?
Answer:
1/2
Step-by-step explanation:
To find slope just compare two points on the graph and then put them into fraction form like so y/x
Is 36a + 24 equivalent to 4(9a + 6)
True
False
Answer:
True!!
4(9a+6) using the distributive property is 36a+24
Step-by-step explanation:
Answer:
True.
Step-by-step explanation:
We have a 4, next to an (.
We multiply the four.
[tex]4[/tex]×[tex]9a[/tex]
4×[tex]6[/tex]
= 36a+6
please help, no links, will give brainiest
Answer:
? = 20
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )
15 ? = 300 ( divide both sides by 15 )
? = 20
A computer lab has an average of 5 students per hour. Find the probability that
there will be exactly 8 students in the lab for a certain hour
Answer:
prob. (8std.)=8/(5+8)
PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.
Answer:
first expand the brackets
The area of a rectangle is 325 cm^2. What is the area of a rectangle in cm^2 with
sides 3 times as large?
i’m stuck, pls help
Answer:
2926 cm²
Step-by-step explanation:
The area of a rectangle is 325 cm^2. What is the area of a rectangle in cm^2 with sides 3 times as large?
Step 1
A rectangle has both Length and Width
Let us assume the Length = Width
The area of a rectangle is 325 cm²
Area = Length × Width
325 cm² = L²
L = √325 cm²
L = 18.027756377 cm
Approximately = 18.03 cm = Widtdh
Step 2
What is the area of a rectangle in cm² with sides 3 times as large?
From Step 1
L = 18.03cm
3 times as large = 18.03 cm × 3
= 54.09 cm
The Area for this rectangle
= A = L²
A =( 54.09 cm)²
A= 2925.7281 cm²
Approximately = 2926 cm²
A line, y = mx + b, passes through the point (1, 6) and is parallel to
y = 4x + 6. What is the value of b?
Answer:
Step-by-step explanation:
Let the line to be found be Line 2
Given:
Line 1 :
y = 4x + 6
Since y = mx + b
We can substitute and find that the slope of Line 1 is 4
Therefore slope of Line 2 = (4)
Line 2:
Point - (1,6)
Slope - 4
Therefore: 6 = (4)(1) + b
So equating it we get : b = 2
Answer = 2the volume of a right circular cone is 9picm 2 with a height of 3cm. find the length of the radius
Step-by-step explanation:
The answer is 3 cm .
I hope it helps you
pls help i need to pass algebra 2 THANK U SO MUCHHHH
What is the length of the hypotenuse?
18 cm
6 cm
(not drawn to scale)
360 cm
B 6 10 cm
А
144 cm
D 216 cm
Answer:
B
Step-by-step explanation:
just use pyth then you'll get the answer
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be the hypotenuse, then
h² = 6² + 18² = 36 + 324 = 360 ( take the square root of both sides )
h = [tex]\sqrt{360}[/tex]
= [tex]\sqrt{36(10)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{10}[/tex]
= 6[tex]\sqrt{10}[/tex] → B