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Artyom0805 [142]
2 years ago
11

F(x) =2x^2+12x-6 Does this function have a minimum or maximum value? What is this minimum or maximum value?

Mathematics
1 answer:
Alex777 [14]2 years ago
4 0

Let's compare the given function with the model for a quadratic equation:

\begin{gathered} f(x)=ax^2+bx+b \\ a=2,b=12,c=-6 \end{gathered}

Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.

The minimum value can be found calculating the y-coordinate of the vertex:

\begin{gathered} x_v=-\frac{b}{2a}=-\frac{12}{4}=-3 \\  \\ y_v=2\cdot(-3)^2+12\cdot(-3)-6 \\ y_v=2\cdot9-36-6^{} \\ y_v=-24 \end{gathered}

Therefore the minimum value is -24.

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Ms. McClain conducted an experiment
joja [24]

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

 

8 0
3 years ago
Please help me in answers 3 and 5
Mama L [17]
3. The correct answer is 2) 3m² - 6. 
(2m² + 3m - 4) + (m² - 3m - 2)   Given
2m² + m²   These numbers are like terms, because they both end in m².
3m²   Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).

3m + (-3m)   These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0   Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.

-4 + (-2)   These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6   -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.

3m² - 6   Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.

5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.

Hope this helps!
4 0
3 years ago
HELPPP PLASSSS BRAINLIEST
Svetach [21]

Answer:

5

Step-by-step explanation:

If the parallelogram is being rotated the side length will stay the same as it is in the current state.

6 0
3 years ago
Leah predicts that she will need to contribute $7,000 per year for college tuition and already has $4,000 in savings. She is beg
Sveta_85 [38]

Answer:

125 Dollars

Step-by-step explanation:

Total fee = 7000

Amount in hand = 4000

Amount to be saved in 2 years = 7000 - 4000 = 3000

No of months in 2 years = 12 x 2 = 24

Per month saving = 3000 / 24 = 125 $

4 0
3 years ago
You pay $0.25 per name for List A and get a click rate of 5%. You pay $0.35 per name for List B and get a click rate of 10%. Whi
ANTONII [103]

Answer:

list B

Step-by-step explanation:

Given that there are two clicks , list A and B.

List A has a click rate of 5% and payment 0.25 dollars

Hence click rate of 1% costs = 0.25/5 = 0.05 dollars

Similarly for list B,

For a click of 10% payment done = 0.35$

Hence for one click payment = 0.35/10 = 0.035

Since both rates have been converted to rate for unit click we can compare both.

List A = 0.05 and List B= 0.035

List A unit click rate > that of list B

Hence list B has the lower cost per click.

5 0
3 years ago
Read 2 more answers
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