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alexandr1967 [171]
3 years ago
10

Help with functions?

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

The function g(x) = - x² + 14x + 39 is at a minimum when x = 7 is not true i.e. false.

Step-by-step explanation:

The function is given to be g(x) = - x² + 14x + 39 .......... (1)

Now, the condition for maxima or minima is g'(x) = \frac{dg(x)}{dx} = 0.

Now, differentiating equation (1) we get, g'(x) = - 2x + 14 ........ (2)

Hence, for maxima or minima g'(x) = 0 = - 2x + 14

⇒ x = 7

Now, from equation (2) and differentiating both sides with respect to x again g"(x) = \frac{d^{2}g(x) }{dx^{2} } = -2 < 0

Therefore,the function g(x) has maxima at x = 7

Therefore, the function g(x) = - x² + 14x + 39 is at a minimum when x = 7 is not true i.e. false.

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Hi what isthe answer
REY [17]

Answer:

2x^7

Step-by-step explanation:

2x^4 × x^3 =

= 2x^(4+3)

= 2x^7

8 0
3 years ago
Which equations for the line of best fit do not accurately represent the data in the scatter plot? Select all that apply.
Inessa [10]

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

<h3></h3><h3>Which equations do not accurately represent the data in the scatter plot?</h3>

By looking at the scatter plot, we can see that as we read from left to right, the number of shoes sold (y variable) decreases.

Then the linear fit must have a negative slope, from that, we can discard options B and C.

Now, we also can see that the line starts almost at y = 70.

If you look at the option D, you can see that the constant term of that line is -70, so we can also discard that option.

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

If you want to learn more about scatter plots:

brainly.com/question/6592115

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8 0
1 year ago
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat
vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

F = P x (1 + i)^n

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. F = ($360)(1.03)^x

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s  account, y, after x years is, = 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

y = 360(1.03 )^x

Hope this helps you!

Have a nice evening! ;)

5 0
3 years ago
Read 2 more answers
Calvin and Susie are running for class president of the first 80% of the balance that are accounted Susie receives 53% of the vo
34kurt

Answer:

48

Step-by-step explanation:

4 0
3 years ago
Is the relationship shows by the data linear? If so, model the data with an equation.
Kipish [7]

Answer:

Yes, B

Step-by-step explanation:

Yes the data is linear because there is a constant rate of change.

For x or the input the rate of change is plus 2

For y or the output the rate of change is plus 4

y/x is your slope so 4/2=2

and the only equation with a slope of 2 is B


4 0
3 years ago
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