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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Which of the following is a function equivalent
[tex]f(x) = 4 {(1.8)}^{2x} [/tex]
a.
[tex]f(x) = 4 {(3.24)}^{x} [/tex]
b.
[tex]f(x) = 4(3.24x)[/tex]
c.
[tex]f(x) = {12.96}^{x} [/tex]
d.
[tex]f(x) = {51.84}^{x} [/tex]
Answer:
The correct result would be f(x) = 4(3.24)x.
Step-by-step explanation:
plsss help me with this:(((
Answer:
First we need our slope equation
Y₂-Y₁/X₂-X₁
So we have our equation now lets plug it in
-9+2/-4-3 (we make it a plus for -9+2 because the two minuses cancel out).
So now we have -7/-7 which is 1 because -7 divided by itself is one. Thereby your answer is A. 1
Same thing for question 12
1-5/2-4
-4/-2 which is 2 because -2 goes into -4 two times so your answer is A. 2
is it
A) equilateral
B)obtuse
C)isosceles
D)right
Answer:
equilateral
Step-by-step explanation:
Compare in days.
55 days to 5 weeks
The ratio is
Answer: no.of days in 5 weeks= 5× 7= 35
ratio of 5 days to 5 weeks= 5/35
=1/7
answer= 1:7
Step-by-step explanation: .
How to write sin and cos and all?
Like should they be in first letter uppercase, or whole lowercase?
My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....
Help me with this questionnnnn
Expand the following
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
please solve this fast
Step-by-step explanation:
shape BCD is an isosceles triangle meaning the base angles will be the same.
CA is a straight line meaning that it is 180
the sum of angles in a triangle always is 180
so
180-36= 144
to find x you need to half 144 as it is the sum of the base angles of the isosceles triangle.
144/2= 72
x=72
the angle just below y is also 72.
as CA is a straight line,
180-72= 108 giving you the answer for y
y= 108
so to make the answer clear
x= 72
y= 108
hope that helped! :)
if you would like to give me a brainliest feel free as im nearly to the end of my goal.
I will give brainliest to first person who answers this question.
Write a possible polynomial function in factored form with roots 0, -2, and 7. Group of answer choices
f(x)=(x+1)(x+2)(x−7)
f(x)=x(x+2)(x−7)
f(x)=x(x−2)(x+7)
f(x)=(x+2)(x−7)
Answer:
2nd option
Step-by-step explanation:
Given x = a is a root of a polynomial function then (x - a) is a factor
Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are
(x - 0) , (x - (- 2) ) , (x - 7) , that is
x , (x + 2) , (x - 7)
The polynomial function f(x) is then the product of the factors, so
f(x) = x(x + 2)(x - 7)
Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.
Gabriel has 4 partners.
When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.
by which rules are these triangles congruent?
A. AAS
B. ASA
C. SAS
D. SSS
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The criteria used to prove the given triangles congruent is :
AASthe quotient of 8 and y
Answer:
"The quotient of 8 and y" is written as the following algebraic expression:
8÷y
Solve the equation 4x^2+36=0
Answer:
it have no answer in real number(but it have in complex number if you know)
Step-by-step explanation:
4x^2+36=0
4x^2=-36
(if you know complex numbers see this: x^2=-9 then
[tex]x = \frac{ + }{} 3i[/tex]
)
Find the length of the third side. If necessary, round your the nearest tenth.
Answer:
24
Step-by-step explanation:
Use Pythagorean theorem,
base² + altitude² = hypotenuse²
7² + altitude² = 25²
altitude² = 25² - 7²
= 625 - 49
= 576
altitude = √576
altitude = 24
_________
[tex] \: [/tex]
b² = c² - a²
b² = 25² - 7²
b² = 625 - 49
b² = 576
b = √576
b = 24
WILL GIVE BRAINLEST
john weighs 145 lbs. he lost weight. the ratio of his old weight is 5:4. How much does he weight now
Answer:
108.75
Step-by-step explanation:
He lost 36.25 pounds so 145 - 36.25 = 108.75
I am like 85% sure that this is the correct answer
Good luck on whatever you are doing.
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.
a) Find the length of the side of each case
b) Is the length of the table enough for the 3 cases? Explain
c) Is the width of the table enough for the 3 cases? Explain
Answer:
A is 30 inches
b is Yes
c
Step-by-step explanation:
9a - 3d =3
-3a + d = -1
Answer:
a=\frac{1+d}{3}
Step-by-step explanation:
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
Read more about sector and circle at:
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What is 1200 over 480 in mixed number
9514 1404 393
Answer:
2 1/2
Step-by-step explanation:
1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2
can someone answer this
Answer:
b.d-6 that's the correct answer
Answer:
it is a
Step-by-step explanation:
plz help my grade went down
Answer:
Slope = -4
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:
Transform the equation into its slope-intercept form, y = mx + b:
x - 4y = - 12
x - x - 4y = - x - 12
-4y = -x - 12
Divide both sides by -4:
[tex]\frac{-4y}{-4} = \frac{-x - 12}{-4}[/tex]
y = ¼x + 3 ⇒ (This is the slope-intercept form of the given standard equation, x - 4y = - 12).
Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:
(¼) (-4) = -1
Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
Please help me this is due please help
Step-by-step explanation:
so levt's label the video games as "P"
if 6P=207.54$
1P= X
1P × 207.54$ = 6P × X
1P × 207.54$ = 6P × X => P eliminates P on the right side
6P 6P. => 6P eliminates 6P on the left side
207.54$ = X
6
X = 34.59$
Step-by-step explanation:
Let the cost of 1 video game = x
6 video games = $207.54
1 video game = x........cross multiply
6x = 207. 54............ divide both sides by 6
x = 34.59
therefore, 1 video game costs $34.59
Pencils cost 9p each.
How much do 28 pencils cost?
Answer:
252p or £2.52
Step-by-step explanation:
If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.
Hope this helps!
Answer:
252p
Step-by-step explanation:
Please solve this problem
I really want the answer
please give the correct answer
Answer:
Step-by-step explanation:
Use PEDMAS
125 ÷ (-5) * (-4) - 100 = (-25) * (-4) - 100
= 100 - 100
= 0
Need help with question 1 and 2
Mr. Johnson is picking up 24 balls after recess and putting them in bins for the next class. He wants to put the same number of balls into each bin. What four different ways could he group the balls?
HELP HELP WILL MARK BRAINLIEST
Answer:
b. 10a³ - 11a - 3
Step-by-step explanation:
1. Expand 3(a³ - 2a - 5)
= 3a³ - 6a - 15
2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15
7a³ + 3a³ = 10a³
-5a + -6a = -11a
12 + -15 = -3
3. Answer: b. 10a³ - 11a - 3
20x+75=35x+30 help
Is due tomorrow
Answer:
[tex]x[/tex] = [tex]3[/tex]
Step-by-step explanation:
Use an Algebra Calculator
answer is x=3 , formula is in the attachment