Which function is equivalent to g ( x ) = x 2 - 15 x

Which graph or equation represents a Nonpoportional relationship A B C or D

VARVARA [1.3K]

Answer:

A

Step-by-step explanation:

A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).

The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.

For an equation that represents a proportional relationship, it is written in the form of y = kx

Where, k is the constant of proportionality.

Therefore, the two equations given represents a proportional relationship.

7 0

2 years ago

A circle has a radius of 10. An arc in circle has a central angle of 72 what is the length of the arc

BARSIC [14]

Answer:

4π

Step-by-step explanation:

-A circle subtends a total angle of 360 ° from its center.

-The length of an arc is directly proportional to the angle it subtends from the circle's center.

#The arc's length can therefore be calculated as:

$C=\pi D=2\pi r\\\\\therefore C=\frac{72\textdegree}{360\textdegree}\times 2\pi \times 10\\\\=4\pi$

Hence, the length of the arc is 4π

5 0

2 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

Step-by-step explanation:

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

3 years ago

The estimated measurements of the objects are shown below.

olga2289 [7]

The scientific notation is a method that scientists use to easily handle very large numbers or very small numbers. As an example, instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9 in scientific notation. The number of places the decimal point got moved becomes the exponent of the number 10. When the movement is from left to right, the exponent is negative (for very small numbers). When it is right to left, the exponent is positive (for very large numbers).

Therefore writing estimated measurements in scientific notation:

length of a grain of salt : 0.0002 centimeters = 2 x 10-4 centimeters

width of a key ring : 0.02 centimeters = 2 x 10-2 centimeters

6 0

2 years ago

What number must you add to the polynomial below to complete the square? x^2+17x

Juliette [100K]

The number added to the polynomial by completing the square is $\frac{289}{4}$