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Veseljchak [2.6K]
3 years ago
9

Solve for d: 0.5(2d-6)=0.2(4x-10)

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0

Answer:d=0.8x+1

Step-by-step explanation:

To solve 0.5(2d-6)=0.2(4x-10)

Open the brackets

We get

d-3=0.8x-2

To make d the subject of formular

d=0.8x-2+3

d=0.8x+1

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What is the average rate of change of the function over the interval x = 0 to x = 6?
Ymorist [56]

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

               130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                    8 - 0                  8

6 0
3 years ago
Two bags contain coloured cubes.
spayn [35]

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

8 0
3 years ago
Which is the graph of linear inequality 6x+2y>-10
NemiM [27]
For this case we have the following inequality:
 6x + 2y\ \textgreater \  -10

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 Then, we must evaluate ordered pairs in the following way:
 (x, y)
 The ordered pairs that meet the inequality, will be included as part of the graph.
 Therefore, the shaded region contains all the ordered pairs that meet the inequality.
 Answer:
 See attached image.

8 0
3 years ago
Please help i’m in a test rn. Consider the geometric sequence -7, 14, -28, .... Select all that apply.
sp2606 [1]

nsweres el dodeel s  Step-by-step explanationen

5 0
2 years ago
Can you help me pls, this doesn't make any sense
Gala2k [10]
Area of the larger square = 12² = 144 cm²
Area of the smaller square = 7² = 49 cm²
Area of the section = 144-49 = 95 cm²
7 0
3 years ago
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