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3 years ago

7

Express 4x^2 − 12x in the form (2x + a)^2 + b.

1 answer:

gladu [14]3 years ago

8 0

Answer: $(2x-3)^2-9\\$

a=-3

b=-9

Step-by-step explanation:

$4x^2-12x=(2x)^2-2*2x*3+9-9\\=(2x-3)^2-9\\$

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When adding two rational numbers,if a pair of addends has opposite signs ,then the sum will have the sign of the addenda with th

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When adding two rational numbers,if a pair of addends has opposite signs ,then the sum will have the sign of the addenda with the greater value among the two.

These examples can better illustrate this concept:
Example 1:
23 + (-3) = 20 (The greater among the two is positive and the result is also positive)

Example 2:
-23 + 3 = -20 (The greater among the two is negative and the result is also negative)

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A can of soup has the shape of a cylinder.

Jobisdone [24]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

A water wheel has a radius of 18 feet. the wheel is rotating at 5 revolutions per minute. find the linear speed, in feet per min

makkiz [27]

Answer:

The linear speed is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

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8 0

3 years ago

If the exponential parent function,

laila [671]

Answer: $f(x) =3^{-x}-4$

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated up "k" units.

If $f(x)-k$ , the function is translated down "k" units.

If $-f(x)$ , the function is reflected across the x-axis.

If $f(-x)$ , the function is reflected across the y-axis.

Therefore, knowing those transformations and given the exponential parent function:

$f(x) = 3^x$

If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:

$f(x) =3^{-x}-4$

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3 years ago