What are the zeros of the quadratic function f(x) = 6x2

Given the graph below, find PQ

tester [12383]

Answer:

P is located at (-5, -1) and Q is at (2, -5).

Step-by-step explanation:

5 0

3 months ago

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Leona [12618]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Response:

B. $y = 5x + 3$

Detailed explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it

$10(x + \frac{3}{5} ) = 2y$

Open the brackets

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify the fractions

$10x + 6 = 2y$

Divide by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

Next, we compare options A through D with $y = 5x + 3$

A. is not equal to $y = 5x + 3$

Next, we check the second option

B.

$y = 5x + 3$ matches $y = 5x + 3$

This option represents the second equation in slope-intercept format.

We check for further options

C.

$y = \frac{1}{5} x + \frac{3}{25}$

Convert the fraction into a decimal

$y = 0.2x + 0.12$

This does not equal $y = 5x + 3$

D.

$y = \frac{1}{2} x + 6$

Convert the fraction to decimal

$y = 0.5x + 6$

This also does not equal to $y = 5x + 3$

Therefore, the only option equivalent to the second equation in slope-intercept form is Option B

7 0

1 month ago

Read 2 more answers

What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL

Zina [12379]

Answer:

Step-by-step explanation:

For resolution, the Euclidean division is necessary:

The polynomial is expressed as 16-2x³-6x²+x+9=-2x³-6x²+x+9
We will divide this by: 4+3x-2=3x+2 and analyze the remainder

A visual representation of the process is provided

The remainder is 47/9, hence the value to subtract is 47/9

8 0

2 months ago

What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?