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nikklg [1K]
3 years ago
11

Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2).

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

y=2x^2-44x+240

Step-by-step explanation:

we are given a quadratic equation

Let's assume formula of vertex form of parabola as

y=a(x-h)^2+k

where vertex is (h,k)

we are given

vertex =(11,-2)

so, h=11, k=-2

now, we can plug it

y=a(x-11)^2-2

now, we are given zeros at x=10 and x=12

we know that zeros will be x=10 , y is 0

so, we can plug x=10 and y=0 and solve for 'a'

0=a(10-11)^2-2

0=a-2

a=2

now, we can plug it back

and we get

y=2(x-11)^2-2

so, we get quadratic equation as

y=2x^2-44x+240

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Quantity (Bottles of Cleanser) Cost
seraphim [82]

Answer:

D. 8 bottles

Step-by-step explanation:

one bottle of one is obviously $6.50

one bottle of two : $12.50 (1/2) = $6.25

one bottle of four: $26.00 (1/4) = $6.50

one bottle of six: $30.00 (1/6) = $5.00

one bottle of eight: $38.00 (1/8) = $4.75

8 bottles is the best buy

3 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


\Rightarrow 11y=-22

\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6


The equation of the line is

y+2=-6(x-2)

y+2=-6x+12


y=-6x+10 is the required equation





4 0
3 years ago
5 - 9.5 = 5 + ? HELPPP
attashe74 [19]
-9.5 because 5-9.5=-4.5 and -4.5+9.5=5. So yeah 5-9.5=5+-9.5 ?
7 0
3 years ago
Help fast don’t understand
maksim [4K]

Answer:

its the second one

Step-by-step explanation:

those coords make it so its a 5x6 rectangle (area of 30)

8 0
2 years ago
Which expression is equivalent to (-18)-64n
Kruka [31]

Answer:

C)-2(9+32n)

Step-by-step explanation:

The given expresion is

- 18 - 64n

We can rewrite this expression as:

- 2 \times 9 +  - 2 \times 32n

We factor -2 to obtain:

- 2(9 + 32n)

Note that, we can use the distributive property to obtain:

- 2(9 + 32n) =  - 18 - 64n

Therefore the correct answer is C)-2(9+32n)

6 0
3 years ago
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