91 more than the square root of a number

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

Step-by-step explanation:

y = x 2 + 91

Explanation:

Let the number be x

, then Square of the number is x ^2

91 more than the square of a number" will be x^ 2 + 91

So, we can write it as an algebraic expression with two variables as :

y = x ^2 + 91

You might be interested in

Find the values of x and y for which the lines are parallel.

bearhunter [10]

The answer: " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .

46 + 1(x - 3) + 1(y-3) = 180 .

46 + 1x - 3 + 1y - 3 = 180 .

46 - 3 - 3 + 1x + 1y = 180 .

40 + x + y = 180 ;

Subtract "40" from EACH SIDE of the equation:
______________________________________
40 + x + y - 40 = 180 - 40 ;

to get:

x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;

↔ x - 3 = 65 ;

Add "3" to EACH SIDE of the equation;

    x - 3 + 3 = 65 + 3 ;

to get:

           x = 68 .
______________________________
Now:

Since: "x + y = 140" ;

Let us plug in our known value, "68" ; for "x" ;

to solve for "y" ;
__________________________________
   x + y = 140 ;

  68 + y = 140 ;

↔ y + 68 = 140 ;

Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
   y + 68 - 68 = 140 = 68 ;

                  y = 72 .
______________________________________________
So, solve for "x" and "y".

x = 68, y = 72 .
_______________________________________________

5 0

3 years ago

Write an equation and solve.

Reil [10]

My equation was (1230÷3) ×4 ×this is the multiplication sign

4 0

3 years ago

Limit as x approaches infinity: 2x/(3x²+5)

Nonamiya [84]

$\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}$

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

$\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}$

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.

5 0

3 years ago

he following data set shows the number of dogs counted in a local park each Saturday for 4 months. 33, 36, 31, 37, 37, 38, 31, 3

lana66690 [7]

General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot three circles above 31, one circle above 32, two circles above 33, one above 35, two above 36, three above 37, and three above 38.

Conclusion:

Out of the four options, the correct option is B because that is the only dot plot representing the given set of data.