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oee [108]
3 years ago
8

Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function?

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

Answer: 6

Explanation:

A <em>constant</em> is a number or term that does not change. Usually it is the term that <em>does not </em>have a variable. In the equation, 6 cannot change. Therefore, the constant is 6

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egoroff_w [7]
The answer would be0.984
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The midpoint of AB is M(-3, 0). If the coordinates of A are (1,-4), what are the coordinates of B?
zimovet [89]

Using the given information, the coordinates of B are (-7, 4)

<h3>Midpoint of a Line </h3>

From the question, we are to determine the coordinates of B.

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of AB is M(-3, 0)

and

The coordinates of A are (1,-4)

Let the coordinates of B be (x₁, y₁)

Then,

-3 = (1 + x₁)/2

-6 = 1 + x₁

x₁ = -6 -1

x₁ = -7

Also,

0 = (-4 + y₁)/2

0 = -4 + y₁

y₁ = 0 + 4

y₁ = 4

Hence, the coordinates of B are (-7, 4)

Learn more on Midpoint of a line here: brainly.com/question/18315903

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7 0
2 years ago
Y=-x+5<br> Y=x+1<br> Solve the system
Elis [28]

Answer:

y =  - x + 5 \\ y = x + 1 \\   - x + 5 = x + 1 \\  - 2x =  - 4  \\ x = 2 \\ y = 2 + 1 = 3 \\ y = 3

Therefore the answer is:

x=2; y=3

Good luck!

Intelligent Muslim,

From Uzbekistan.

3 0
3 years ago
SOMEONE PLEASE HELP MEEEEE3​
Darina [25.2K]
The answer is (3,4)
3 0
3 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
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