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kotegsom [21]
2 years ago
10

Please help photo attached

Mathematics
1 answer:
Kruka [31]2 years ago
6 0

Answer:

  see below

Step-by-step explanation:

You can determine the correct function by looking at the function and graph values at x = 1.

For some constant k, the function is ...

  (g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x

For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...

  (g·h)(1) = 6

  -k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1

  k = -2 . . . . . . . . . divide by -3

The function h(x) is ...

  h(x) = -2x

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Please help!! Due tomorrow!!
Marysya12 [62]

The number of doughnuts in bags is 4 times the number of bags of doughnuts. So the number in B bags of doughnuts will be

... 4B

The number of doughnuts in cartons is 10 times the number of cartons of doughnuts, so the number in C cartons will be

... 10C

The total number of doughnuts (T) is the sum of those in bags and those in cartons:

... T = 4B +10C

3 0
3 years ago
Will the product be less than or greater than the first factor? 4/9 x 3/8
Veronika [31]
It will be less than the first factor.
7 0
2 years ago
PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
german

Using linear function concepts, it is found that:

  • a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
  • b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A <em>linear function </em>has the format given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0
2 years ago
Evaluate 8 divided by 4 times (11-8+2)
luda_lava [24]
<u>well 8 divided by 4 is 2 and 11-8+2 is 5 and 5 times 4 is 20 so 20 is the answer

</u>
4 0
3 years ago
You are planning to make an open rectangular box from aa 4141​-in.-by-8181​-in. piece of cardboard by cutting congruent squares
marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0
3 years ago
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