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3 years ago

What is |-3+45-(-14)|+(-|-87+12/46| simplified

1 answer:

4 0

|x|=absoulte value of x which means whatever x is, make it positive
so first solve any division/multiplication

the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56

56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913

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The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by:

dalvyx [7]

Answer:

Lowest Current : c=0 and 6 Amp

Highest Current : 3 amp

Step-by-step explanation:

We are given our function as

$P(c)=-20(c-3)^2 + 180$

We are asked to determine the values of current c at which the power P(c) is equal to 0

Hence

$0=-20(c-3)^2+ 180$

Now we solve the above equation for c

subtracting 180 from each side we get

$-180=-20(c-3)^2$

Dividing both sides by -20

$(c-3)^2=9$

Taking square root on both sides

c-3= ±3

adding 3 on both sides

c=±3+3

hence

c= 0

c=6

At c=0 and 6 amperes the power will be minimum

Now we have to find the c at which the power will be the highest

$P(c)=-20(c-3)^2+ 180$

Represents a parabola

subtracting 180 from both sides we get

$P-180=-20(c-3)^2$

Comparing it with standard parabola

$(y-k)^2=-4k(x-h)^2$

(h,k) will be the coordinates of the vertex

Hence here

h=3 , k = 180

Hence in this equation $P-180=-20(c-3)^2$

The vertex will be (3,180)

Or at c=3, P = 180 the maximum

8 0

3 years ago

Read 2 more answers

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sasho [114]

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2 years ago

Find the average value of f(x)=2/x over the interval [1, 3].

Zanzabum

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3 years ago

If f(x)=8x+6, what is f(-1)

sergey [27]

If I remember correctly this is how you solve it.

f(x)=8x+6
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3 years ago

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The two tables give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye.

abruzzese [7]

In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

<h3>What is ratio of two numbers?</h3>

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;

Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.
Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.

The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.

In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.

Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

Learn more about the ratio of two numbers here;

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