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kirill [66]
2 years ago
15

What is the minimum of the function g(x)= x^2-6-12

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
8 0

Answer:

Answer:

Step-by-step explanation:

Step-by-step Explanation:

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4 coffees and 12 lattes. Costs $61
Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = c

∴ 4 coffees cost = 4c and 12 coffee cost = 12c

∵ 1 latte cost = l

∴ 12 lattes cost = 12l and 7 lattes cost = 7l

Now, as per question:

4c+12l=61-----1\\12c+7l=59.75----2

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0
3 years ago
When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.
melomori [17]

Answer:

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

4 0
3 years ago
The formula for converting a temperature from degrees Fahrenheit to degrees Celsius is C = (F - 32). What is 86°F in °C?
Vadim26 [7]

Answer:

A

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

7 0
3 years ago
Suppose a triangle has to size of lint 42 and 35 and the angles between these 2 sides is 120 which equated should you solve to f
Brilliant_brown [7]

Answer:

7\sqrt{91}\ units or 66.78\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2abcos(C)

In this problem we have

a=42\ units, b=35\ units, C=120\°

c is the length of the third side

Substitute

c^{2}=42^{2}+35^{2}-2(42)(35)cos(120\°)

c^{2}=1,764+1,225-2,940cos(120\°)

c^{2}=4,459

c=\sqrt{4,459}\ units

c=7\sqrt{91}\ units or c=66.78\ units

5 0
2 years ago
Solve for m <br> m+7=3+m+4
-BARSIC- [3]
The answer is no solution
6 0
3 years ago
Read 2 more answers
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