Solve the equation 1/3(x−10)=-41/3(x−10)=-4

Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment

Marianna [84]

We have a "rectangular" double loop, meaning that both loops go to completion.
So there are 3*4=12 executions of t:=t+ij.

Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.

Here the number of operations (+ or *) is exactly known (=24).

Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.

Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.

6 0

3 years ago

Andy completes the square for the equation x2 + 6x - 8 = 0. Which of the following equations reveals the vertex of the parabola?

Stolb23 [73]

If the equation $x^2+6x-8$ has undergo completing the square, the answer would be:
$x^2+6x-8
$
$x^2+6x+9-8-9$
**In this example, since 6x is the middle term, what comes to my mind is the polynomial (x+3) because 2ab results into 6x. [from the special products lesson $(a+b)^2=a^2+2ab+b^2$ ]
$(x+3)^2 -17 = 0$
So if the equation is equal to y, then this equation's
$y+17=(x+3)^2$
The vertex would be on the point (-3, -17)

3 0

2 years ago

Read 2 more answers

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

LuckyWell [14K]

The decimal approximations are:

The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4

The numbers are also placed in order from least to greatest.

8 0

2 years ago

Can someone plz help plz show work

aliya0001 [1]

Answer:

Step-by-step explanation:

In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

$h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=\sqrt{25}\\\\h=5\ ft$