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Marina86 [1]
2 years ago
8

Which of the following is the minimum value of the equation y = 2x2 + 5?

Mathematics
1 answer:
raketka [301]2 years ago
4 0
(0, 5) is the minimum value.

Find the axis of symmetry by plugging the respective variables into -b/2a

-5/2(0) = 0

There is no b-value in our equation, or rather, the value of b is 0. To see this, y = 2x^2 + 5 can be written as

y = 2x^2 + 0x + 5

We plug 0 into f(x), establishing every x-value as 0.

f(0) = 2(0)^2 + 5
f(0) = 0 + 5
f(0) = 5

5 is now your vertex’s y-value. Plot the two values together.

(0, 5)

We know that this is a minimum because the leading coefficient is positive, meaning the the graph’s parabola will open down.
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Which product is shown on this number line
aleksklad [387]

Answer:

Would ypu plz show us the number line so at least i could answer the question

4 0
3 years ago
Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1
Ber [7]

Answer:

The weight of the package is 1 kilograms.

It will cost  $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second  Courier = $7 + $6(x)

Also, for x  kilograms, both the charges are equal

⇒ $10 + $3(x)   =  $7 + $6(x)

or, 10 + 3x =  7 + 6x

or, 10 -7 = 6x - 3x

⇒ 3x = 3, implies  x = 3/3 = 1

⇒ The weight of the package is 1 kilograms.

It will cost :  10 + 3(1) = $ 13  = 7 + 6(1) by both the couriers services.

5 0
3 years ago
Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t
Hoochie [10]

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

<h3>How to derive the equation of the axis of symmetry </h3>

In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.

First, calculate the coordinates of the midpoint by the midpoint formula:

M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)

M(x, y) = (- 2, 11)

Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:

x = - 2

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

To learn more on axes of symmetry: brainly.com/question/11957987

#SPJ1

3 0
1 year ago
What is the quotient? URGENT!!
jeyben [28]

Answer:

The answer is A.

Step-by-step explanation:

You have to multiply by converting the second fraction into upside down :

\frac{4x + 1}{6x}  \div  \frac{x}{3x - 1}

=  \frac{4x + 1}{6x}  \times  \frac{3x  -  1}{x}

=  \frac{(4x + 1)(3x - 1)}{x(6x)}

=  \frac{12 {x}^{2}   -  4x + 3x - 1}{6 {x}^{2} }

=  \frac{12 {x}^{2} - x - 1 }{6 {x}^{2} }

5 0
2 years ago
Please help!!!!!!!!!!!!!!
Doss [256]
The equation would be (100-10) ÷30 your answer would be 3
3 0
2 years ago
Read 2 more answers
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