For every 8 hours of work, Doug earns $120 If Doug works 40 hours, how much will he earn?

Answer: -16n-41

Step-by-step explanation:

first, distribute 2 through the parentheses:

2(-n-3)-7(5+2n) = -2n-6-7(5+2n)

second, distribute 7 through the parenthesis:

-2n-6-7(5+2n) = -2n-6-35-14n

Collect like terms:

-2n-6-35 and -16n-6-35

Calculate the difference:

-2n-6-35-14n = -16n-41

SOLUTION:

-16n-41

Answer:

(A) Linear pair postulate

Step-by-step explanation:

Given: AB intersects DE at point C.

To prove: ∠DCB≅∠ECA

Proof:

Statements                                                                   Reasons

1. AB intersects DE at point C.                                      given

2. ∠DCB and ∠BCE are a linear pair                       Definition of linear pair

3. ∠DCB is supplementary to ∠BCE                        Linear pair postulate

4. ∠BCE and ∠ECA are a linear pair                       Definition of linear pair

5. ∠BCE is supplementary to ∠ECA                       Linear pair postulate

Thus, from statement 2 and 5, we have

∠DCB+∠BCE=180° and ∠BCE+∠ECA=180°

⇒∠DCB+∠BCE=∠BCE+∠ECA

⇒∠DCB≅∠ECA

Hence proved

thus, option A is correct.

The function `f(x)=5*(4/5)^x` is an exponential function with a base of 4/5. Exponential functions with a base less than 1 decay, so the graph of this function will approach zero as x increases.

To graph the function, we can start by plotting a few key points. The following table shows some key points for the function `f(x)=5*(4/5)^x`:

| x | f(x) |

|---|---|

| 0 | 5 |

| 1 | 4 |

| 2 | 3.2 |

| 3 | 2.56 |

| 4 | 2.048 |

We can then plot these points on a graph and connect them with a smooth curve.

The graph shows that the function decays exponentially as x increases. The function also approaches zero as x increases.

Learn more about exponential function here:

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Step-by-step explanation:

would like to show but can't using the phone

The grams of protein needed daily is 50 grams.

Let the grams of protein needed daily be represented by x.

Since one serving of granola provides 4% of the protein, this will be:

= 4% × x

= 4/100 × x

= 0.04 × x

= 0.04x

Based on the information given, the grams is protein needed daily will be:

x = 0.04x + 48

Collect like terms

x - 0.04x = 48

0.96x = 48

x = 48/0.96

x = 50

Therefore, the grams of protein needed daily is 50 grams.

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