when the discriminant is negative, that is, less than 0, then the roots are imaginary.
The discriminant in a quadratic equation is equal to:
b^2 - 4*a*c, where b is the coefficient of the degree 1 variable, a is the coefficient of the degree 2 variable and c is the constant term. There can be 3 possibilities regarding the discriminant of a quadratic equation:
Case 1: When b^2 - 4*a*c = 0
In this case, the roots of the equation are equal and real.
Case 2: When b^2 - 4*a*c > 0
In this case, the roots of the equation are real.
Case 3: When b^2 - 4*a*c < 0
In this case, the roots of the equation are imaginary.
So, when the discriminant is negative, that is, less than 0, then the roots are imaginary.
To learn more about quadratic equation:
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Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
Lightning strikes Earth 1000 times in 10 seconds. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.
Step-by-step explanation:
pls help I need the full working thanks
Answer:
x=3
Step-by-step explanation:
so in order to solve this question we are going to plug in u for 2^x
3((2^x)/2)=2^x+4
3u/2=u+4
3u=2u+8
u=8
we can put 2^x back into the equation in order to find x
2^x=8
2^x=2^3
x=3
Please help, i need it for a test, I'll give you brainliest :]
Answer:
Step-by-step explanation:
C
A new washing machine uses 40% less water than an older model.
A family used 1,200 gallons of water per month to run the old
washing machine. About how much water will they use each
month to run the new washing machine?
Answer:
840 Gallons
Step-by-step explanation:
Answer:
840 gal
Step-by-step explanation:
if one jar of coffee costs $y, what will be the cost of four jars of coffee
Answer:
hi
Step-by-step explanation:
i think so
if one jar of coffee costs y$ then 4 jars of coffee costs
4y$
have a nice day
8 added to the product of 7 and x cubed
Answer:
7x³+8
Step-by-step explanation:
I'm guessing that you are looking for the equation
In a bag of counters, there are 3 times as many red counters as
blue.
There are twice as many blue counters as yellow counters.
What is the ratio of red : blue : yellow?
Answer:
The ratio is 6:2:1.
Step-by-step explanation:
Let's denote:
Blue counter b
Red counter r
Yellow counter y.
There is given
r=3b (three times more red as blue) [1]
and
b=2y (twice more blue as yellow.) [2]
Now, replacing [2] to [1] gives
3*2y=r
6y=r.
Hence, the ratio is 6:2:1, because r=6y and b=2y.
A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)
Answer:
plz send full question
Step-by-step explanation:
according to your book
Please help me ASAP! I will pick brainliest
Answer:
b
Step-by-step explanation:
The closed circle indicates that the -6 is included
and the arrow is going to the bigger numbers
I'll give brainlyest help
Answer:
5 meters
Step-by-step explanation:
40/8=5
Answer:
area of rectangle =length ×width
40m² = 8m × width
40m²/8m = width
5m = width.
Solve for x
PLEASE HELP ME DUE IN 10 MINS
Express 21/10 as a decimal
Answer:
2.1
Step-by-step explanation:
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The second lap took her 1 12more minutes than the first lap. The third lap took her 1 10less minutes than the second lap. How much time did it take her to finish the third lap?
Answer:
First lap time = 5/6 minute
Second lap time = 11/12 minute
Third lap time = 49/60 minute
Step-by-step explanation:
:))
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.
The second lap took her 1 12more minute than the first lap.
The third lap took her 1 10less minute than the second lap.
First lap time = 5/6 minute
Second lap time = 11/12 minute
Third lap time = 49/60 minute
Learn more about the unitary method;
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if u put any links I will report
Answer:
72% increase
Step-by-step explanation:
688-400= 288 increase
288/400= 0.72
0.72x100=
72% increase
Helppppp please it’s timed
Answer:
Estimated population of New Hampshire is
A. 35,000
z
Note: Figure is not drawn to scale,
If x = 4 units, y = 17 units, and z = 3 units, then what is the surface area of the rectangular prism shown above?
OA.
131 units
OB. 330 units
C.
204 units
D
262 units2
helppp meeeeeeeeeeeeeeee
Answer:
Area=1/2 b×h
A1=1/2×8×14
=56m²
A2=1/2 ×16×14
=112m²
therefore total area
=56+112
168m²
PLEAASEEEEEE HELPPPPPP!!!!!!
Write two different
expressions to find the total cost of an item
that costs $a if the sales tax is 6%. Explain
why the expressions give the same result.
Answer:
Total cost = $a + 0.06a
Total cost = a(1 + 0.06)
Step-by-step explanation:
Given that :
Cost of item = $a
Sales tax = 6%
Total cost = cost of item + sales tax
Total cost = $a + (6% of a)
Equation 1:
Total cost = $a + 0.06a
Equation 2:
Total cost = $a + 0.06a
Total cost = a(1 + 0.06)
Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?
Answer:
Step-by-step explanation:
Aliyah rode her bike at a speed of 10 miles per hour for 1.5 hours and then traveled at a speed of 7.5 miles per hour for 2 hours. What is the total distance that Alyah rode her bike during this time?
Answer:
Step-by-step explanation:
S(peed) = 10 mph
time = 1.5 hours
distance = s * time
distance = 10 * 1.5 = 15 miles
s = 7.5 mph
t = 2 hours
d = s * t
d = 7.5 * 2 = 15
Here total distance = 15 + 15 = 30 miles.
What’s the answer ?
Answer:
the real answer is 379in³
Answer: 390
Step-by-step explanation:
To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
Help!! I'll give brainlist...
Answer:
c
Step-by-step explanation:
Help! Il give brainlest!
yall this one too i need help quick guys plz and ty
Answer:
b. (4,2)
Step-by-step explanation:
step one: isolate x in the first equation
substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]
[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]
[tex]-4y=-8[/tex]
[tex]y=2[/tex]
step two: isolate y in the second equation, substitute y=2
[tex]x=6-y[/tex]
[tex]x=6-2[/tex]
[tex]x=4[/tex]
Answer:
b
Step-by-step explanation:
Given the 2 equations
3x + 3y = 18 → (2)
2x - 2y = 4 → (2)
Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term
6x + 6y = 36 → (3)
6x - 6y = 12 → (4)
Add (3) and (4) term by term to eliminate y
12x + 0 = 48
12x = 48 ( divide both sides by 12 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
3(4) + 3y = 18
12 + 3y = 18 ( subtract 12 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (4, 2 ) → b
MULTIPLE CHOICE !! HELP
Answer:
Its D
Step-by-step explanation:
Can someone help me figure this out I'm completely lost and this is due in like an hour, the question is "Use the diagram to find the length of GH."
Answer:
GH = 4
Step-by-step explanation:
GH = AB due to congruency markings therefore
5y - 8 = 3y
-8 = =2y
4 = y
Answer:
GH=12
Step-by-step explanation:
You use what this other solution to the answer was. However, they did not include that GH is 3y, so while one y=4, 3y=12. Therefore, GH=12
Find the probability of getting 3 heads and 1 tail when flipping a coin 4
times. (write your answer as a reduced fraction)
pls
Answer:
The probability is 4/16 = 1/4
Step-by-step explanation:
To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped