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Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

it is so simple

Step-by-step explanation:

it's answer will be option b because of the increasing value of x

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What are the coordinates of the vertex of the parabola described by the equation below? y = -7(x - 4)2 - 5

pochemuha

To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)

7 0

3 years ago

Read 2 more answers

Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20

professor190 [17]

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = $\frac{240}{12}=20$

Hence,

The bottle will last for 20 days.

3 0

3 years ago

Factor the expression 2x4y – 18x2y3 completely.

Annette [7]

Answer:

B. 2x2y(x – 3y)(x + 3y)

Step-by-step explanation:

$2 {x}^{4} y - 18 {x}^{2} {y}^{3} \\ = 2 {x}^{2} y( {x}^{2} - 9 {y}^{2} ) \\ = 2 {x}^{2} y \{ {x}^{2} - {(3y)}^{2} \} \\ \purple {\boxed{ \bold{ = 2 {x}^{2} y(x - 3y)(x + 3y)}}}$