Write a function rule for the table

Which math expression means "44 more than an unknown number"?

worty [1.4K]

Answer: C. X + 44

Step-by-step explanation:

Let x be the unknown number.

Given statement : "44 more than an unknown number".

By using addition operation ,

Mathematical expression for "44 more than an unknown number" = 44 +x

Hence, the correct expression is x+44.

So, the correct option is C.

5 0

3 years ago

Mrs. Penn charges $10.00 an hour on top of a $5.00 flat fee for tutoring. Mrs. Smith charges $14.00 an hour with no flat fee. Wr

Anna71 [15]

Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

6 0

3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .