All categories

3 years ago

Create at least three equations where the quadratic has a vertex of (-3,-4). Explain how you would do that, please.

Mathematics

1 answer:

Helen [10]3 years ago

5 0

$vertex = \binom{ - \frac{b}{2a} }{ \frac{4ac - {b}^{2} }{4a} }$

You might be interested in

3√x -2/x^2 please show step by step of differentiation before combining the terms.

EastWind [94]

Answer:

Step-by-step explanation:

Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²

In differentiation if $y = ax^{n}$ , then $\frac{dy}{dx} = nax^{n-1}$ where n is a constant and dy/dx means we are differentiating the function y with respect to x.

Applying the formula o the question given;

$y= 3\sqrt{x} -2/x^2\\y = 3{x}^\frac{1}{2} - 2x^{-2} \\\\$

On differentiating the resulting function;

$\frac{dy}{dx} = \frac{1}{2}*3x^{\frac{1}{2}-1 } - (-2)x^{-2-1} \\\\\frac{dy}{dx} = \frac{1}{2}*3x^{-\frac{1}{2}} + 2x^{-3}\\ \\\frac{dy}{dx} = \frac{1}{2}*{\frac{3}{x^{\frac{1}{2} } }} + \frac{2}{x^{3} } \\\\\frac{dy}{dx} = {\frac{3}{2x^{\frac{1}{2} } }} + \frac{2}{x^{3} }\\\\\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }$

To combine the terms, we will add up by finding their LCM.

$\frac{dy}{dx} = {\frac{3}{2\sqrt{x} }} + \frac{2}{x^{3} }\\\frac{dy}{dx} = \frac{3x^3+4\sqrt{x} }{2x^{3} \sqrt{x}}$

3 0

4 years ago

Convert 34 base five to 34 base ten

Anika [276]

34 base five to 34 base ten is 19.

Step-by-step explanation:

Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table

Base- 5  Base-10

1 1

2 2

3 3

4 4

10 5

12 6

13 7

14 8

20 9

....... ....

34 19

34 base five to 34 base ten is 19.

Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10

5 1

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

3 4

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

5 (3)+ 1(4) = 15+4 = 19

5 0

4 years ago

Find the area of each figure

prohojiy [21]

Answer:

A=120

B=20

C=20

Total area=160 cm2

This is really weird because the numbers dont look proportional to the shape but according to the data it should be correct :/

5 0

2 years ago

Read 2 more answers

What is five x plus negative three equals fifteen

bearhunter [10]

You write the equation like this:
$5x + (-3) = 15$

But if you want to solve it then you do it like this:
$5x + (-3) = 15$
$5x - 3 = 15$
$5x = 18$
$x = 18/5$

7 0

4 years ago

Read 2 more answers

Which of the following is a polynomial?

elena-14-01-66 [18.8K]

…………………………. I think it’s B

5 0

3 years ago