Evaluate the expression when y = 5.<br> 3y2<br> 3y2 =

If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?

ivolga24 [154]

Answer:

- $\sqrt{5}$

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

One answer with positive square root
One answer with negative square root

For example, for the equation:

$x^{2}=3$

If we take the square root of both sides, the answers will be:

$x=\sqrt{3} \text{ or } x= -\sqrt{3}$

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and $\sqrt{5}$ . Therefore, the 3rd root of the polynomial function f(x) had to be - $\sqrt{5}$

It seems you made error while writing option B, it should be - square root of 5.

4 0

3 years ago

The width of a rectangle measures (3.8b-1.5) centimeters, and it's length measures (4.3b-7.2) centimeters. Which expression repr

vivado [14]

Answer:

-17.4+16.2b

Step-by-step explanation:

I just guessed and it was right

6 0

3 years ago

Find the slope and y intercept <br> In simplest form <br> -7x-4y=-8

Ray Of Light [21]

Hey there! :)

-7x - 4y = -8

To find the slope, we must turn this equation into slope-intercept form.

Slope-intercept form is : y=mx+b ; where m=slope, b=y-intercept

To get here, we must isolate y by adding 7x to both sides of our original equation.

-7x + 7x - 4y = 7x - 8

Simplify!

-4y = 7x - 8

Then, divide both sides by -4.

-4y ÷ -4y = (7x - 8) ÷ -4y

Simplify!

y = -7/4x + 2

Congrats, we got y isolated! Now, review the slope-intercept form equation to figure out what our slope & y-intercept are.

After reviewing our slope intercept form equation, we can come to the conclusion that -7/4 is our slope because it's in the "m" value slot, and 2 is our y-intercept because it's in the "b" spot.

So, our answer is :

Slope = -7/4

Y-intercept = 2

Hope this helped! :)

7 0

3 years ago

Which of the following numbers is classified as an irrational number? −29/8 -29 √11 54.29 repeat

nataly862011 [7]

It is √1154.29 this is because irrational numbers are those that cannot be represented in p/q format where p and q are integers.

Hope it helps. feel free to ask any doubts.

3 0

3 years ago

Ben has a cell phone plan that provides 200 free minutes each month for a

user100 [1]

Answer:

The piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}$

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

So, $f(x)= 39, x \leq 200$

We are also given that For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

$f(x)=39 + 0.35(x - 200), x > 200}$

Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}$

3 0

4 years ago

Evaluate the expression when y = 5. 3y2 3y2 =