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3 years ago

Please Help Meeeee!!! Will Mark Brainliest!!!

Mathematics

1 answer:

love history [14]3 years ago

3 0

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

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Proof by mathematical induction

Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let n = k, then:

Sum ( k terms) = 7k^2 + 3k

Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term

= 7k^2 + 3k + 14(k + 1) - 4

= 7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

= 7(k + 1)^2 + 3k + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0

3 years ago

Please help, I can't get it

algol [13]

X+5 /3
hope this helps!

5 0

4 years ago

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct

Eva8 [605]

Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

8 0

4 years ago

Find the equivalent expressions for (x + 7)(x + 1).

Natali5045456 [20]

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

5 0

3 years ago

Read 2 more answers

Evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)

andrey2020 [161]

To find the exact answer based on the last step, " $2(3)^3+5$ ", you must use PEMDAS (attached image below)

$2(3)^3+5=2*27+5=54+5=59$

Thus the answer is 59.

Hope that helps!

4 0

3 years ago