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2 years ago

Find the value of x. If necessary, write your answer in simplest radical form.

Mathematics

1 answer:

RSB [31]2 years ago

3 0

Answer:

$x=\sqrt{6}$

Step-by-step explanation:

To find the hypotenuse, it is $a^{2}+b^{2}=c^{2}$

So...

$1^{2}+x^{2} =\sqrt{7}\\1+x^{2} =\sqrt{7} \\x=\sqrt{6}$

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Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

Am i right im not sure please help

cluponka [151]

Yes, absolutely! You have correctly identified a good line of best fit and found a point that matches with the 450 thousand. Good job!

5 0

3 years ago

Can someone please help me please?

jeka57 [31]

B because if you take it it would be b

8 0

2 years ago

Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number o

Sedaia [141]

Answer:

6 miles

Step-by-step explanation:

first thing you need to do is find a number under 18 that can be multiplied by 3

and 18 is the 6th number and is 18, you can add the 2 extra fixed charge to that

they can travel 6 miles

but if you're talking about a fixed charge per mile then dont use this! ^^

8 0

3 years ago

Read 2 more answers

If you had 26/12 dollars, how much money would that be

Zolol [24]

Answer:

$2.17

Step-by-step explanation:

Our result when dividing 26 by 12 becomes 2.166666......

This is a problem,

Luckily, the question asks us to round to the nearest penny, or hundredths, for calculation's sake.

This brings our answer to 2 dollars and 17 cents

7 0

3 years ago