Which of the following represents the factorization of the polynomial below?

Match the addition and subtraction problems to solutions

Marrrta [24]

Answer: 1B. 2C 3E 4D 5E

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the equation of the graphed line written in standard form

weqwewe [10]

Ax+by=c

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c.

5 0

3 years ago

What is a formula for the nth term of the given sequence? 19,23,27...

marin [14]

+4 next terms are 33,37,41,44,47,50 and so on.....

7 0

3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

Solving Multi-Step Inequalities:

n200080 [17]

Answer:

Because the problem says - they are AT LEAST...

You would need to list the answers this way

GrandD is < or = to 5 GrandS is greater or = to 7

Step-by-step explanation:

These are so fun!

Let GrandD = X

Let GrandS = X + 2 (because he is two years older than GrandD)

Their age together is 12 years - so...

GrandD + GrandS = 12 OR...

x + x + 2 = 12

Now solve for x.

2x + 2 = 12

2x = 10 (because we subtract the ones on the left from the ones on the right)

x = 5 (because we divide both sides by 2)

This means that GrandD (x) is equal or greater than 5 years old

And GrandS (x + 2) = or greater than 7 years old

4 0

3 years ago