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Verizon [17]
3 years ago
8

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x^2+8x-1=0

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0
Divide given eq. by -2, we get, x^2-4x+0.5=0. Here a=1, b=-4 and c=0.5. As disccriminant is given by sqrt(b^2-4*a*c).so sqrt((-4)^2-4*1*0.5)=3.7417.
Real roots are x1,2=-b+-discriminant
x1=-4+3.7417=-0.2583 and x2=-4-3.7417=-7.7417
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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
Dmitrij [34]

Answer: The  below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x,     ------ (1)

where,  x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.


8 0
3 years ago
Read 2 more answers
What is 1/4 of 3/5 of customers
shepuryov [24]
The answer is 7/20. 1/4= 5/20 and 3/5 = 12/20 What I did was find the GCF (greatest common factor) of both 4 and 5 which was 20. Then I multiplied both numerators by the same number I multiplied the denominator with. Afterwards I subtracted both numerators (12-5) and this equals to 7 Hope that helps
8 0
4 years ago
Find the midpoint M of the line segment joining the points A = (-5, 7) and B = (-1, -5).
11111nata11111 [884]

Answer:

M = (-3,1)

Step-by-step explanation:

We need to find the midpoint M of the line segment joining the points

A = (-5,7) and B = (-1, -5)

The mid point of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by :

M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\M=(\dfrac{-5+(-1)}{2},\dfrac{7+(-5)}{2})\\\\M=(-3,1)

Hence, the required point is (-3,1).

6 0
3 years ago
WILL MARK BRAINLIEST!!!!!
statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

<u>Shape A: Cross</u>

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

<u>Shape B: Star</u>

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

<u>Shape C: Composite figure</u>

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

<u>Shape D: Circle</u>

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

Read more about rotational symmetry at:

brainly.com/question/12214455

8 0
2 years ago
Who wants to help I really really need it ❤️
sasho [114]
It would be 8 to the 8th power
5 0
3 years ago
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