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postnew [5]
2 years ago
11

PLEASE HELP

Mathematics
1 answer:
Olegator [25]2 years ago
4 0

Answer:

24

Step-by-step explanation:

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Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,
miskamm [114]

Answer:

(0,2); minimum

Step-by-step explanation:

Given:

The function is, y=x^{2}+2

The given function represent a parabola and can be expressed in vertex form as:

y=(x-0)^{2}+2

The vertex form of a parabola is y=(x-h)^{2}+k, where, (h,k) is the vertex.

So, the vertex is (0,2).

In order to graph the given parabola, we find some points on it.

Let x=-2,y=(-2)^{2}+2=4+2=6

x=-1,y=(-1)^{2}+2=1+2=3

x=0,y=(0)^{2}+2=0+2=2

x=2,y=(2)^{2}+2=4+2=6

x=1,y=(1)^{2}+2=1+2=3

So, the points are (-2,6),(-1,3),(0,2),(1,3),(2,6).

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex (0,2), it is minimum.

8 0
3 years ago
St<br>Question 1<br>Calculate the derivative of y = f(x) = 3 x(4x + 7)<br>Your answer:<br><br>​
kondor19780726 [428]

Answer:

\frac{dy}{dx} = 24 x + 21

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the function

      y = f(x) = 3 x ( 4 x + 7)

     y  = 3 x ( 4 x + 7)  

    y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

\frac{dy}{dx} = 12 (2x) +21 (1)

\frac{dy}{dx} = 24 x + 21

6 0
3 years ago
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Afina-wow [57]

Answer:

3rd option

Step-by-step explanation:

Given

x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )

= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term

= (x² - 5)(x - 7)

5 0
3 years ago
2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of
Bad White [126]
2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

b. Equivalent ratios
__________________________

\frac{10 \: dogs}{15 \: cats}  =  \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats}  =  \frac{2 \: dogs}{3 \: cats}  \\

We can see that they are equivalent ratios.
6 0
3 years ago
Write in exponential form. 2•2•2•x•x
Sholpan [36]
2 to the 3rd power (2^3) times x to the second (x^2)
6 0
3 years ago
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