The number of real solutions is 0, the correct answer is A.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity b^2 - 4ac is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
We are given that;
The equation -2x^2+x-28= 0
Now,
The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:
If the discriminant is positive, there are two distinct real solutions.
If the discriminant is zero, there is one repeated real solution.
If the discriminant is negative, there are no real solutions.
In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:
b^2 - 4ac
= 1^2 - 4(-2)(-28)
= 1 - 224
= -223
Since, the discriminant is negative, there are no real solutions for this equation.
Learn more about discriminant of a quadratic equation here:
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What is the best description of the relation?
Answer:
The relation is not a function.
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.
In this case, the answer is no. The input value of 10 corresponds with two output values, 4 and 20. It only takes one input value to associate with more than one output value to be invalid as a function.
Therefore, the given relation is not a function.
If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Fill in the missing number. 40% of = 800
Answer:
40% of 800 is 320
Step-by-step explanation:
0.40×800=320
8/13×2/6 in its simplest form
Answer:
[tex]\frac{9}{39}[/tex]
Step-by-step explanation:
Multiply the two denominators together and the two numerators:
[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]
[tex]= \frac{16}{78}[/tex]
Divide both numbers by two to simplify:
[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]
So the simplest form is:
[tex]\frac{9}{39}[/tex]
Hope this helps!
matt is planting grass in the yard. He has planted 1/8 of his seeds in 1/4 an hour. How long will it take him to plant all of his seeds.
Answer:
1/8 x 1/4=18
Step-by-step explanation:
I think it times
Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it
Answer:
thank you for points....
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
pls need answer fast asap need help 100 pts!!!
Answer:
Answer:
8% is the answer
Answer:
8%
Step-by-step explanation:
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
Please help me on this it’s due please help me
Tìm câu trả lời trong file
Answer:
please mark me as brilliant and answer my questions
Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225
Answer:-
900
Verification:-
[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]
Answer:
a) 100
→ [tex]\frac{100}{5}[/tex] = 20
→ [tex]\frac{100}{10}[/tex] = 10
→ [tex]\frac{100}{15}[/tex] = 6⅔
100 is not divisible by 15
b) 625
→ [tex]\frac{625}{5}[/tex] = 125
→ [tex]\frac{625}{10}[/tex] = 62.5
→ [tex]\frac{625}{15}[/tex] = 41.6
625 is not divisible by 10 and 15.
c) 900
→ [tex]\frac{900}{5}[/tex] = 180
→ [tex]\frac{900}{10}[/tex] = 90
→ [tex]\frac{900}{15}[/tex] = 60
900 is the correct answer.
d) 225
→ [tex]\frac{225}{5}[/tex] = 45
→ [tex]\frac{225}{10}[/tex] = 22.5
→ [tex]\frac{225}{15}[/tex] = 15
225 is not divisible by 15
900 is the correct answer.
multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])
[tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]
Then multiply. the answer becomes −15 13/15
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
which of the following inequalities is graphed above?
Answer:
1st option
y=-3/8x+3
How many wholes are there in 7/3
Answer: there are 2 whole in 7/3
Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3
If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB
Answer:
i)
Step-by-step explanation:
Tan a = 1
Tan A = tan 45
A = 45.
Now,
Tan b = root 3
Tan b = tan 60.
B = 60.
Now ,
Cos a * cos b - sin A * sin B
= cos 45 * cos 60 - sin 45 * sin 60
= 1/root 2 * 1/2 - 1/root 2 * root 3 /2
= 1 /root 2 ( 1/2 - root 3 /2)
= 1/root 2 * 1 - root 3 /2
= 1 - root 3 / 2 root 2.
i need help to a can get an A
Answer:
See below:
Step-by-step explanation:
We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.
The Pythagorean Theorem states that a^2 + b^2 = c^2
a in this case would be the shortest side,
b in this case would be the 2nd longest side,
c is the hypotenuse.
[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]
If we solve this, we get 8!
Cheers!
Question 6 of 25
What is sin 45°?
Answer:
B.
[tex] \frac{1}{ \sqrt{2} } [/tex]
Due tomorrow please help
Answer:
The choice B.
[tex]x > 4 \\ x < - 1[/tex]
I hope I helped you^_^
A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?
Answer:
9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least
2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest
Step-by-step explanation:
May I please receive help?
4, -1/4 -1,
we can do this simply by
(y2-y1)/(x2-x1)
and simplifying
b(n) = 4 – 6(n-1)
Find the 4th term in the sequence.
Answer:
B4= 4-6(4-1)
B4= 4-7(3)
B4= 4-18
B4= -14
Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?
Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))
Step-by-step explanation:
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
[tex] \frac{y {2} - y1}{x2 - x1} [/tex]
15) ⤵
[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]
16) ⤵
[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]
17) ⤵
[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]
Hope this helps :)
write 7/571 as a mixed number!
Answer:
It is a proper fraction so it cannot be written as a mixed number.
Step-by-step explanation:
PLEASE HELP! ASAP I NEED HELP!
a) 314.285728572857.......
b) i think 5.4 boxes
c) its an under estimate cuz actual value is more than 5
Step-by-step explanation:
a) To find the area of her garden, you need to know the area of a circle: πr²
diameter = 20m
radius = 10m
3.14 × 10² = 314m²
b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure
314 ÷ 58 ≈ 300 ÷ 60 = 5
c) The answer is an underestimate because the actual value is 5.4137...
314 ÷ 58 = 5.4137..
Find the unknown value in each proportion. Round to the nearest tenth if needed.
[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]
Answer:
4/5=16/20
4/3=4/3 or 1 1/3
3/7=0.42857
13/15=0.86666
Step-by-step explanation:
i dont know
if i did that right but your welcome
Can anyone please help me with this?
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.