1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Orlov [11]
3 years ago
13

What is the focus of the parabola? y=−1/4x^2−x+3

Mathematics
1 answer:
Delvig [45]3 years ago
5 0
We know that
the equation of the parabola is of the form
y=ax²+bx+c

in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3

</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2

y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3

the coordinates of the focus are
(-2,3)
You might be interested in
Which digit has the greatest value in the number 1,567
Nookie1986 [14]
Seven has the greatest value as a digit, but 1, 000 has the greatest standard form value.
7 0
3 years ago
Write the following whole number as it's English word equivalent. 384,258
Ymorist [56]
Three hundred eighty four thousand two hundred and fifty eight
6 0
3 years ago
Read 2 more answers
At school athletic events you can buy 3 drinks and 2 hot dogs for $4.80 or you can buy 1 drink and 1 hot dog for $2.00. How much
mariarad [96]
Let the cost of each drink is $x and the cost of each hot dog is $y.
According to the given data, 3 drinks and 2 hot dogs cost $4.80. In equation form, we can write it as:

3x+2y=4.80

1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:

x+y=2
x=2-y

Using this value of x in first equation, we get:


3(2-y)+2y=4.80 \\ &#10;6-3y+2y=4.80 \\ &#10;6-y=4.80 \\ &#10;y=6-4.80 \\ &#10;y= 1.20

Thus the cost of one hot dog is $1.20
6 0
3 years ago
Read 2 more answers
Answer for 4x+4=2x+8
abruzzese [7]

Answer:

x=2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicit
valkas [14]

Given:

Zero: 2, multiplicity: 3

Zero: 0, multiplicity: 2

Degree: 5

Leading coefficient = 1

To find:

The polynomial function.

Solution:

The general form of a polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}

where, a is a constant, c_1,c_2,...,c_n are zeroes with multiplicity m_1,m_2,...,m_n.

Using the given information and the general form of a polynomial, we get

P(x)=a(x-2)^{3}(x-0)^{2}

P(x)=ax^2(x^3-6x^2+12x-8)

P(x)=a(x^5-6x^4+12x^3-8x^2)

Leading coefficient is 1, so the value of a is also 1.

P(x)=1(x^5-6x^4+12x^3-8x^2)

P(x)=x^5-6x^4+12x^3-8x^2

Therefore, the required polynomial is P(x)=x^5-6x^4+12x^3-8x^2.

7 0
3 years ago
Other questions:
  • 3(2x+7)+15-2x what is the answer to this
    14·2 answers
  • An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the
    15·1 answer
  • You buy the same number of brushes, rollers and paint cans. Write an expression in simples form that represents the total amount
    8·2 answers
  • How many people from the under 30 attended in july
    13·1 answer
  • y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
    15·1 answer
  • To make meatloaf. mix 2 pounds of beef and 0.5 of a cup of breadcrumbs. How many pounds of beef
    14·1 answer
  • Each of 7 students reported the number of movies they saw in the past year. Here is what they reported. 15,11,15,18,13,4,5. Find
    13·1 answer
  • Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total num
    14·1 answer
  • Quick quick, help plzz
    7·1 answer
  • Determine which equation below can be solved to find the value of ∠A.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!