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cupoosta [38]
1 year ago
5

Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:

Mathematics
1 answer:
svp [43]1 year ago
4 0

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

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the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
Luba_88 [7]

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of m miles:

f(x) = 0.45m +5

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

f(x) = 0.45m +5 can also be written as:

y = 0.45m +5

It is nothing but slope intercept form, comparing with Y = M X+ C

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

0.45m +  5+5 = 0.45m+10

Now, multiply with 1.25

Resulting function becomes:

f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }

8 0
2 years ago
30 POINTS!!! Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money
Airida [17]

Answer:

B. No the input is not feasible

because you cannot rent 6,5 movies  :p

6 0
2 years ago
Read 2 more answers
Mrs. Adams bought cans of pears and cans of mixed fruit.
weeeeeb [17]

Answer: 5 Cans

Step-by-step explanation:

4 0
2 years ago
Shelby is an entrepreneur who has decided to open a small advertising firm. She rents office space at a cost of $25,000 per year
mestny [16]

Answer:

$ 125,000

Step-by-step explanation:

Given,

The amount of rent = $ 25,000,

The salary of assistant = $ 30, 000

Expenses = $ 20,000,

Also, her best alternative is to work elsewhere and to earn a salary of $50,000 per year.

Thus, the investment in the firm = 25000 + 30000 + 20000 + 50000

= $ 125,000,

Now, if she earns zero economic profit,

Then her revenue = investment

= $ 125,000

7 0
1 year ago
Read 2 more answers
Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour. Use the
avanturin [10]
<h3>It costs $ 22.5 for mike and his friend to rent paddle board for 3 hours</h3><h3>Mike has $ 2.5 remaining after rental</h3>

<em><u>Solution:</u></em>

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

3 \times 3.75 = 11.25

<em><u>Thus for two person:</u></em>

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

4 0
2 years ago
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