A baker regularly uses flour to make pastries for the bakery. At the beginning of the

Find the derivative of the function. f(x) = 2x + 6

lawyer [7]

Hi there!

$\large\boxed{\text{ B. 2}}$

f(x) = 2x + 6

Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)

Differentiating a constant always equals 0.

Thus:

f'(x) = 2

8 0

3 years ago

Write in terms of i.<br> Simplify your answer as much as possible.<br> √−32

Effectus [21]

The letter i in mathematics represents √-1. So, keep in mind. i = √-1.

Let's factor √-32 with the i in mind.

√-32 = √(32 * -1) = √32 * √-1 = √32i.

Just remember this formula: √-x = i√x

4 0

3 years ago

Which situation describes INDEPENDENT events?

Semmy [17]

Answer:

In B, One card is chosen from a standard deck, it is set aside, then a second card is drawn. That "set aside" is where we have a problem. We began with 52 cards, but now have 51. This fact WILL change the probability or probabilities. Chances of obtaining a red heart from the full 52-card deck are 4/52; whereas chances of obtaining a red heart from the remaining 51 cards (assuming that you got a red heart earlier and set it aside) is 3/51.

7 0

3 years ago

Please help I don’t know what to do with the fraction. The equation is determine if the given point is a solution to the system.

Alex

Answer:

see explanation

Step-by-step explanation:

To determine if (3, 1 ) is a solution to the system

Substitute x = 3 into both equations and evaluate. If the result is y = 1 for both then the point is a solution.

y = $\frac{4}{3}$ × 3 - 3 = 4 - 3 = 1

y = - 2(3) + 7 = - 6 + 7 = 1

Since both equations equal 1 then

(3, 1 ) is a solution to the system

5 0

2 years ago

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago