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3 years ago

Find the value or values of the Y in the quadratic equation y squared + 4 y + 4 equals 7

1 answer:

6 0

Y² + 4y + 4 = 7
   - 7 - 7
y² + 4y - 3 = 0
   y = -(4) ± √((4)² - 4(1)(-3))
   2(1)
   y = -4 ± √(16 + 12)
   2
   y = -4 ± √(28)
      2
   y = -4 ± 2√(7)
      2
   y = -2 ± √(7)
   y = -2 + √(7) U y = -2 - √(7)

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P(n) models the price (in dollars) of a pack of n bulbs at a certain store.

ycow [4]

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Here is the complete question.

P(n) models the price (in dollars) of a pack of n bulbs at a certain store.

When does the price of a pack increase faster ?

n 4 10 12

P(n) 12 25 28

When does the price of a pack increase faster ?

A. Between 4 and 10 bulbs

B. Between 10 and 12 bulbs

C. The price increases at the same rat over both the intervals.

To solve this question we will find the rate of increase in the prices per pack in the given intervals.

From n = 4 to n = 10

Rate of increase in price = $\frac{25-12}{10-4}$

= $\frac{13}{6}$

= 2.166 ≈ $2.17 per pack

From n = 10 to n = 12

Rate of increase in price = $\frac{28-25}{12-10}$

= $\frac{3}{2}$

= $1.5 per pack

Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.

Option A is the answer.

8 0

3 years ago

Read 2 more answers

Please answer number 5 I’ll give brainliest thanks

kobusy [5.1K]

Answer:

Hello! answer: C

Hope that helps!

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2 years ago

Read 2 more answers

Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,40

Alexandra [31]

Answer:

Sarah should produce four tons of coffee and total cost for four ton is $6,000.

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Selling price per ton = $2,400

Cost of production is increasing by $600 for each ton.

So, Cost of production first ton = $600

Cost of production for second ton = $600 + $600 = $1,200

Similarly, Cost of production for third ton = $1,200 + $600 = 1,800

Cost of production of fourth ton = $1,800 + $600 = $2,400

Here, Sarah can produce coffee till selling price = cost of production.

As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.

Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400

= $6,000

8 0

2 years ago

Provide a recursive definition of the function f(n) = (n+1)!.

fiasKO [112]

Answer:

See definition below

Step-by-step explanation:

Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.

The required value of f(0) is (0+1)!=1!=1.

Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.

Then, our definition is: f:N→N is defined by

f(0)=1.
For n≥1, f(n)=(n+1)f(n-1).

8 0

3 years ago

I need help anyone please

liraira [26]

Answer:

Step-by-step explanation:

The slope is 2/4=1/2

The y-intercept is 3

Given the shaded area, y is going to be less than or equal to.

So B is correct

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3 years ago