how many real roots does a quadratic equation have if the discriminant is 10
Answers
Answer:
2
Step-by-step explanation:
if the discriminant of the quadratic equation is 10 then it will have 2 real roots.
Related Questions
I need help with this question, I'm not very good at math and all help is appreciated!
Answers
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
About how many times larger is 8.75 x 10^(-2) than 4.35 x 10^(-4)?
Answers
Answer:
0.087065
Step-by-step explanation:
Need help with math please earn 10 points
Answers
Answer:
(-4,20)
Step-by-step explanation:
Answer:
(-5, 2)
Step-by-step explanation:
the first equation is 2x+3y=-4
2x(-5)=-10 3yx2=6 -10-6=-4 first ones correct
2x-5y=-20 2x(-5) -5y(2)= -10-10=-20
both are correct
Use complete sentences to describe why √-1 ≠ -√1
Answers
Well let's say that to compare these two numbers, we have to start with the definition first.
Definition
\( \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }\)
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
Definition II
\( \displaystyle \large{ {a}^{2} = a \times a = |b| }\)
Where b is the result from a×a. Let's see an example.
Examples
\( \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}\)
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
\( \displaystyle \large{ {y}^{2} = - 1}\)
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
\( \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }\)
Then where does plus-minus come from? It comes from one of Absolute Value propety.
Absolute Value Property I
\( \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }\)
Solving absolute value always gives the plus-minus. Therefore...
\( \displaystyle \large{ y = \pm \sqrt{ - 1} }\)
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
\( \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }\)
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
Conclusion
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
Therefore \(\sqrt{1} \neq -\sqrt{1}\)
Step-by-step explanation:
\(\sqrt{-1} \\\) cannot be calculated as no two identical numbers that are multiplid could give -1. However - \(\sqrt{1}\) means -1 x \(\sqrt{1}\) = -1 x 1 = -1 . Therefore \(\sqrt{1} \neq -\sqrt{1}\)
PLEASE ANSWER ALL QUESTIONS!!! I'LL GIVE 30 PTS TO WHOEVER ANSWERS!! Find the area of each shape. (sorry if it's hard to read)
Answers
Answer:
Rectangle's is 28
Step-by-step explanation:
We multiply 9 * 4 to get rectangless shape and then we substract squares (2) shape 2*2*2
(9*4) - (2*2*2)= 28
(2*2*2)=4
36-4=28
Hi! Can anyone please give me the sale prices step by step?
I am still not sure how to answer this one. I'm asking because my dad can get angry with my grades (F's and D's) and this is 7th grade if you ask :''D
Answers
Answer: 6
Simple Explanation:
To find 75% of 8, just multiply 8 by 0.75 (which is the same as 75%).
8 x 0.75 = 6
Algebra Mathematics
Question 1
Mr Brown has several models of famous people that each weigh the same. He decides to add in some new models that are of different weights to his old ones. In Room Number One, there are five old models along with a new model that weighs 240kg.
In Room Number Two, there are 3 old models along with a new model that weighs 510kg.
THE TOTAL WEIGHT OF THE MODELS IN ROOM ONE IS EXACTLY THE SAME AS THE TOTAL WEIGHT OF THE MODELS IN ROOM TWO.
What is the weight of an old model?
Answers
Answer:
135kg
Step-by-step explanation:
In room number one, there are five old models and a new model, which weights 240kg. So, it can be concluded that there are 6 models in there, and we can write it as 5x ( x = old models ) + 240 ( weight of new model ). then informed room number two, there are 3 old models and a new one, weighting 510kg. write it as 3x + 510.
the equation will be as: 5x + 240 = 3x + 510
move 3x to the front behind 5x, move +240 to the back behind 510. you will get 5x - 3x = 510 -240
which will be 2x = 270, then move 2 behind 270, means 270 divide 2, which then you will get 135kg
In room number one, there are five old models and a new model, which weights 240kg. So, it can be concluded that there are 6 models in there, and we can write it as 5x ( x = old models ) + 240 ( weight of new model ). then informed room number two, there are 3 old models and a new one, weighting 510kg. write it as 3x + 510. the equation will be as: 5x + 240 = 3x + 510 move 3x to the front behind 5x, move +240 to the back behind 510. you will get 5x - 3x = 510 -240 which will be 2x = 270, then move 2 behind 270, means 270 divide 2, which then you will get 135kg
Mu is walking laps to raise money for charity. For each lap she walks, her sponsors will donate $7. Mu has walked l laps and raised a total of $150
Write an equation to describe this situation.
Answers
Answer:
7\(l\)=150
Step-by-step explanation:
Each lap is worth $7, so if Mu walked \(l\) laps and the total is $150, then the equation would be
7\(l\)=150
l= 21.82 so mu would have to walk 22 laps to make $154 ; 21 laps would only make $147 . And there is no such thing as 21.82 laps .
However if you only needed the equation it is 7l=150
What is the equation of this graphed line?
Answers
Answer: y=-9/8x+7
Step-by-step explanation:
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answers
Answer:
no bro, sorry. even though I needed to I don't have it
i need help pls help
Answers
Answer:
x is 5
Step-by-step explanation:
? + 4a-5 = 3a-1? should it be negative?
Answers
-a+4a=3a
-5+4=-1
-a+4
Explain why each non-zero integer has two square roots but only one cube root.
Answers
BRAINIEST PLEASE
What is the equation for the line in slope-intercept form?
Answers
Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive to from Portland to Seattle, what is the average rate of speed? Show your work.
Answers
The average rate of speed is total distance divided by total time. Therefore 180miles / 3 hours is 60mph.
Please make brainliest Thanks
180/3=60
60x3=180
Branliest please
hey girlies anyone know this?
Answers
Answer: 22.5 pounds
Step-by-step explanation:
The computation of the weight of the block of gel is shown below:
As we know that
Volume = (length) (width) (height)
= (20) (6 ) (6)
= 720 cubic inches
Now we have to convert into cubic foot
As we know that
1 ft = 12 inches
So 1ft^3 = 12 inches^3
= 1728 inches ^3
Now
= 720 × 1 cubic foot ÷ 1728 cubic inches
= 5 ÷ 12
Now the weight is = 54 × 5 ÷ 12=
22.5 pounds
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
helppp mee no links pleaseeeee
Answers
Answer:
how many questions do we have to do?
i did questions 3,4, and 5
Step-by-step explanation:
3, no they are wrong because no where in the sentence does it say they have 3 dollars
4. 73 and 90
5.79
(i hope this helps)
URGENT!!! will mark brainliest!!!
Answers
Answer:
16
Step-by-step explanation:
alright we gotta use PEMDAS
8+ (12-8)^2/2
solve whats in the parenthesis first
8+ (4)^2/2
solve exponent
8+16/2
divide
8+8
add
16
Answer:
16
Step-by-step explanation:
Use PEMDAS to find the solution.
First, you solve what in the Parenthesis and evaluate the power aka the exponent.
---> 8 + 16/2
Next, you divide and multiply. In this case, we only divide the 16 by 2.
---> 8 + 8
Finally, you add or subtract. In this case, we add.
---> 8+8 = 16
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
Please help and I’ll give you brainliest.
Answers
Step-by-step explanation:
Tree A: y = 8x+16
because it was 16 when planted and grew at a pace of 8 inches/ year
Tree B: y = 2x+40
because it was 40 when planted and grew at a pace of 2 inches per year
Hope this helps!!!
Sandy has 28 pencils and 72 erasers. She wants to make the greatest number of bags that have the same number of pencils and erasers.
How many bags can she make without having any items left over?
Answers
Answer:
she can make a maximum of 4 bags.
peach bags containing 7 pencils and 18 erasers.
Step-by-step explanation:
find all the factors each numbers are divisible by:
28 => 1, 2, 4, 7, 14, 28
72 => 1, 2, 3, 4, 8, 9, 18, 24, 36, 72
choose the maximum common denominator.
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Can someone help me and tell me what this is I dont get it
Answers
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
Read the question in the picture
Answers
Answer:
2 pounds of bananas cost $3
Step-by-step explanation:
Can someone help?- I will mark brainliest !!
Answers
find the difference of 71.120 - 2.359
Answers
Answer: 68.761
Step-by-step explanation: calculator!!!!!!
Have a great day
Please help me with this I would give you 50 points.
Answers
Answer:
2. leopards and pirates
3. 25
Step-by-step explanation:
2.
leopards
15:10 is 3:2 when dividing by 5
pirates
12:8 is 3:2 when dividing by 4
3.
27+24=51
51÷2= 25.5
Isabel is mixing paint. She mixes 2 (1/3) pints of blue paint and 4 (1/4) pints of yellow paint.
Which of the following has a ratio of blue paint to yellow paint that is proportional to the amounts used in Isabel's paint mixture?
Answers
Answer: None of these are correct
Step-by-step explanation:
Suppose you borrow money for a year at a simple interest rate of 7.2%. You pay $86.40 in interest. How much have you borrowed?
Answers
Answer:
$1200
Step-by-step explanation:
You want to know the amount borrowed at 7.2% if the simple interest for one year is $86.40.
InterestThe interest formula is ...
I = Prt
where P is the amount borrowed, r is the interest rate, and t is the number of years.
ApplicationUsing the given values, we have ...
86.40 = P·0.072·1
P = 86.40/0.072 . . . . . . divide by the coefficient of P
P = 1200
You have borrowed $1200.
Answer: 1200
Step-by-step explanation: Linear equation. 7.2x = 100(86.40). then divide by 7.2 on each side. x=1200