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Veronika [31]
3 years ago
6

What is the vertex of g(x)=3x3x^2-12x12x+7 ​

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

(2, -5)

Step-by-step explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).

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Does anyone know the answer?
kolezko [41]

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

divide both sides by 9.75 to solve for x

x > 20

8 0
2 years ago
A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leak
Tems11 [23]

Answer:

54  

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.

7 0
3 years ago
--2m + 4n2 for m = -6 and n=-5<br> Evaluate the expression
Tamiku [17]

Answer: 112

Step-by-step explanation:

Since we were given m and n, we plug them into the expression and solve.

-2(-6)+4(-5)²            [exponent]

-2(-6)+4(25)            [multiply]

12+100                     [add]

112

Now, we know that the value of the expression is 112.

7 0
3 years ago
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters
alexgriva [62]

Answer:600 and 3

Step-by-step explanation: I Just know the answer sorry

5 0
3 years ago
Read 2 more answers
How to solve and what are the answers
UNO [17]
To solve this, we must find 93% of 8.15 ounces.

'Of' in mathematics means multiplication.

93% can also be written as a fraction, or a decimal: 0.93

0.93 * 8.15 = 7.5795

We can round this to 7.58 (nearest hundredth).

7.58 ounces of silver are in the bar. 
4 0
3 years ago
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