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Daniel [21]
3 years ago
13

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?

Mathematics
2 answers:
Westkost [7]3 years ago
4 0
The vertex is (-1.5, -6.75). So the x-coordinate is -1.5. Hope this helps and if so please leave a good rating and thanks. I really appreciate it. Have a nice day!
lisabon 2012 [21]3 years ago
3 0

Answer:

-1.5

Step-by-step explanation:

We have been given an equation y=3x^2+9x. We are asked to find the x-coordinate of the vertex of the parabola for our given equation.

We will use formula \frac{-b}{2a} to finc the x-coordinate of vertex of given parabola.

Upon substituting our given values in above formula we will get,

\frac{-9}{2*3}

\frac{-3*3}{2*3}

\frac{-3}{2}

-1.5

Therefore, the x-coordinate of vertex of given parabola is -1.5.

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Evaluate: x(y – z) for x = 3, y = 9, and z = 2<br> O 33<br> O 45<br> O-21<br> O 21
ad-work [718]

Answer:

21

Step-by-step explanation:

Hi there!

We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2

As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.

So substitute 3 as x, 9 as y, and 2 as z in the expression above

x(y-z)

3(9-2)

Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)

3(7)

Now multiply 3 and 7 together

<u>21</u>

Hope this helps!

3 0
3 years ago
Double checking to see if i'm right!
Vinvika [58]

Answer:

Yep! That looks right!

Step-by-step explanation:

4 0
3 years ago
Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)​
Inga [223]

Part (i)

<h3>Answer:  x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

<h3>Answer:  4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

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The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

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