Answers
Answer:
The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
The discriminant of the quadratic equation g is negative.
In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.
When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).
To know more about discriminant here
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Related Questions
How many 1/8 are in 1 1/4?
*look at the picture*
Answers
Answer:
10
Step-by-step explanation:
Because 1 1/4 divided by 1/8 is 10
Plsssss help I needdd help
Answers
Answer:
';ouiehdgfw;i[hgvc
Step-by-step explanation:
its very good have patience gurrrrrrrrrl lol
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answers
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
Write 6.25 in expanded notation
Answers
Answer:
6 + 0.02 + 0.05
hope this helps
I need help with number 21 please help!!!
Answers
Answer:
This is not a direct variation.Step-by-step explanation:
Direct variation:
mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
(y varies directly with x with a constant variation of k)
[tex]y=kx;\ k\neq0[/tex]
[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]
[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]
Sophia's dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas
Answers
Answer:
It is $3.46
Step-by-step explanation:
Hope this helped have an amazing day!
please help due in a couple of minutes
Answers
Step-by-step explanation:
the answer is steaming
Help
2х+6y=3
3х - 7у=6
Answers
please help timed
Match the reasons with the statements.
GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms
2. x2 + 8x + 12 = 0 Distributive Postulate
3. (x + 6)(x + 2) = 0 Zero product postulate
4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality
5. x = -6 or x = -2 Given
Answers
Answer:
Step-by-step explanation:
Start by combining like terms like 2x, 2x, and 6x to get 10x + 12= 0. thats a start
PLEASE HELP ME THIS IS DUE TODAYYY
Answers
Answer:
Check the answers in the tables below
Step-by-step explanation:
First I will explain the steps done in each column
Column 1: Multiply 2 numbers
Column 2: Split the terms inside the bracket in such a way that adding or subtracting those numbers we get the same number.
Column 3: Using distributive property a(b+c) = (ab)+(ac)
Column 4: Solving the expression by adding or subtracting the terms
1)
Given: Data in Column 2 100(0.04+0.06)
Column 1 Column 2 Column 3 Column 4 Value
100(0.1) 100(0.04+0.06) 100.0.04+100.0.06 4+6 10
2)
Given: Data in column 3 [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex]
Column 1 Column 2 Column 3 Column 4 Value
[tex]8(\frac{3}{4})[/tex] [tex]8(\frac{1}{2}+\frac{1}{4})[/tex] [tex]8.\frac{1}{2}+ 8.\frac{1}{4}[/tex] 4+2 8
3)
Given: Data in Column 4 9+12
Column 1 Column 2 Column 3 Column 4 Value
3(7) 3(3+4) 3(3)+3(4) 9+12 21
4)
Given: Data in Column 4 24-16
Column 1 Column 2 Column 3 Column 4 Value
4(2) 4(6-4) 4.6-4.4 24-16 8
Item 11
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats.
An equation is
=36.
You have to sell
newspapers.
Answers
Answer:
0.75x=36
x=48
You need to sell 48 newspapers.
Step-by-step explanation:
0.75x=36
Divide both sides by 0.75 to isolate the variable x.
36÷0.75=48
x=48
Check your answer
48 × 0.75 = 36
look at the picture please
Answers
Answer:
c
Step-by-step explanation:
the top one goes inside the radical and the bottom one is the root
Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?
Answers
I got you fam 1. (0,3) 2. (3,1)
Answer:
The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no real solutions.
Step-by-step explanation:
the lines don't intersect at all so theres no solutions
Pls help me on this
Answers
Answer:
1753
Step-by-step explanation:
14. Which graph has an undefined slope?
Answers
Given:
Slope is undefined.
To find:
Which graph has an undefined slope?
Solution:
We know that, slope is change in y-values with respect to x-values.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is undefined if the denominator is 0.
[tex]x_2-x_1=0[/tex]
[tex]x_2=x_1[/tex]
It means, the x-values are same. It is possible only for a vertical line.
Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.
Hi does anyone know the answer to these two math questions? ( order of operations )
Answers
Answer: here's the answers to the problems
6) 17
8) 2.5
Answer:
6. 17
8. 2.5
Step-by-step Explanation:
4 x 3 + 6+9/3 12/3 + 2+7/5-3 - 6
12 + 15/3 4 + 9/2 - 6
12 + 5 4 + 4.5 - 6
= 17 8.5 - 6
= 2.5
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answers
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
what is -1 1/2, -12, -4.3 least to greatest
Answers
With negative numbers the larger the number the lower the value. For example -2 is less than -1
The order from least to greatest would be:
-12, -4.3, -1 1/2
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answers
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly’s 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75.
If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box
Answers
Answer:
she have 23.75 left
Step-by-step explanation:
Answer:
145.8$Step-by-step explanation:
32.5$ multiplied by 3 =97.5%
she received 65.78. add those together and you get 163.28$
subtract 8.75 twice and you get 145.8$
The following table shows the expressions that represent the sales of two companies:
Company: А B
Sales: 110(0.70)^x 430(1.90)^x
Which company has the largest percent of increase?
-Company A
-Company B
-Both Company A and Company B
-Neither Company A nor Company B
Answers
9514 1404 393
Answer:
company B
Step-by-step explanation:
The growth rate is 1 less than the growth factor. The growth factor is the base of the exponential term.
Company A
growth factor: 0.70
growth rate: 0.70 -1 = -0.30 = -30%
__
Company B
growth factor: 1.90
growth rate: 1.90 -1 = 0.90 = 90%
__
Company B has a higher growth rate than Company A. (Company A has decreasing sales, not increasing.)
Company B has a higher growth rate than Company A.
dude plz help with this question
using algebra to solve for missing values in a formula
Answers
Answer:
50
Step-by-step explanation:
Area of a square = pi(radius squared)
Square root of 25 is 5
Diameter is radius * 2
5 * 2 = 10 (diameter of circle 1)
10 * 5 = 50 (diameter of circle 2)
Si Pedro va la tienda y pago con un billete de $100 de cual le dieron de cambio $40 y compró refrescos que cuestan $24 cada uno, ¿cuántos refrescos compró?
Answers
Answer:
tu pinche madre puto tu madre----_-----
The owner of a candle store purchases his candies from a local distributor. The graph below shows the relationship between n, the number of candles ordered, and
C, the total cost of the candle order. What is the relationship between the total cost of the candle order, c, and the number of candles ordered,
A. c=2n
B. c=4n
C. c=1/4n
D. c=1/2n
Answers
Answer:c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Help, this is a algebra question. Answer ASAP if you know the answer. I will give brainliest to whoever responds correct.
Answers
Answer:
B. Substitute 0 for y and solve for x.
Step-by-step explanation:
Finding the zeroes means solving for x when y = 0.
Tanisha has 16 books she wants to read. She reads One Fourth of them. How many books has Tanisha read?
Answers
Answer:
Im guessing she reads 64 of the book
16 divided by 1/4 = 64
To raise money for the
music program, your
choir sells programs for
$.50 and CDs of its music
for $5 at a concert. It costs
$.15 to produce each
program and $1.75 to
produce each CD.
Everything sells for $400,
yielding a profit of $265.
How many CDs were
made?
Answers
Answer:
x = 60
y = 200
Step-by-step explanations:
Selling price:
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Total Revenue = $400
Total Profit = $265
Let
Number of CD's = x
Number of program's = y
(0.5y + 5x) = 400
0.5y = 400 - 5x
y = (400 - 5x) / 0.5
y = 800 - 10x (1(
Cost of production:
1.75x + 0.15y
Profit = Total Revenue - Total cost of production
5x + 0.5y - 1.75x + 0.15y = 265
3.25x + 0.35y = 265 (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
Divide both sides by -0.25
x = -15/ -0.25
x = 60
y = 800 - 10x
= 800 - 10(60)
= 800 - 600
= 200
y = 200
The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
help please and maybe explain the answer if you have time
Answers
Answer:
I would say that it's A 1/3 because it's the slope and that's what a rate of increase is
If I buy a sweatshirt for $30, and the sales tax is 7% in my state, how much will I pay for the sweatshirt, including the sales tax?
Answers
Answer:
$32.10
Step-by-step explanation:
If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:
30 x 1.07 = 32.1
Add the units, and you get $32.10
Hope this helps!
Answer: The answer is $32.10
Step-by-step explanation: i forgot to put my answer in the answers not comments