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Ksivusya [100]
1 year ago
15

Identify the independent and dependent variables. Write a function in function notation. Then use the function to solve the prob

lem.
Stan, a local delivery driver, is paid $3.50 per mile driven plus a daily amount of $75. On Monday, he is assigned a route that is 30 miles long. How much is he being paid for that day?
Mathematics
1 answer:
bekas [8.4K]1 year ago
7 0

Answer:

He is being paid $180 on Monday.

Step-by-step explanation:

Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.

Here is the function that can be used to represent the situation:

f(x) = 3.50x + 75

Now, plug in 30 to find out how much he earns after completing a 30 mile route:

f(30) = 3.50(30) + 75

f(30) = 105 + 75

f(30) = 180

Also, the $75 is a fixed amount. No variable association.

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Solve -3y + 12 = -48
fenix001 [56]

Answer:

-3y +12 = -48

-3y = -60

y = -60/-3

y = 20

Step-by-step explanation:

7 0
3 years ago
use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

#SPJ4

5 0
2 years ago
Hey guys can u tell me if the top is correct if its not can u show me step by step what to do and what the answer will be and ca
ASHA 777 [7]
You have the right idea and you are close to the correct answer. However that's not what your teacher is looking for in terms of steps.

The starting inequality is b + 8 \ge 20
She starts off selling 8 buckets. Then she sells b more to get a total of b+8
This total must be 20 or larger which is why I set b+8 greater than or equal to 20

Solve for b by subtracting 8 from both sides

b + 8 \ge 20

b + 8-8 \ge 20-8

b \ge 12

So she needs to sell at least 12 more buckets to reach her goal

If you graphed this on a number line, then you would draw a closed circle at 12. Then shade to the right of the close circle. 
6 0
3 years ago
Hey I hope this helps many people but how do you do this problem <br><br> 5x=0.4
Scrat [10]
X=0.08 hope it helps love
4 0
3 years ago
Read 2 more answers
Can somebody help me plz with this math problem!!
Tema [17]

Answer:

Step-by-step explanation:

.

6 0
3 years ago
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