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Nata [24]
3 years ago
7

Evaluate the function for x = 3a. f(x)=2x^2-3x 4

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0
Hello,

f(x)=2x^2-3x+4
f(3a)=2(3a)^2-3*(3a)+4=2*9a²-9a+4=18a²-9a+4
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shtirl [24]

the solution is here,

the coordinate of centre of circle A is (3,2)

and the coordinate of centre of circle B is (3,0).

so the translation point from A to B is (3-0,0-2)=(3,-2).

Now the translation rule is given by (x+h,y+k)

where h is the tranalation anlong the x-axis and k is the translation along the y-axis.

For this problem, translation ruleis (x+3,y-2).

Then, radius of circle A(r1)=2 units

radius of circle B (r2)= 3 units

as the circle A is translated to B, the scale factor is

r2/r1=3/2=1.5

In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5

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makvit [3.9K]

Answer:

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4 0
3 years ago
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3 years ago
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John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to
vagabundo [1.1K]

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.

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3 years ago
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Answer:

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Step-by-step explanation:

x-2=12     +2 on both sides of equation

x=14

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