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Alex787 [66]
3 years ago
11

Given f(x) = | – 5 – 4x| ,find the following:

Mathematics
2 answers:
jasenka [17]3 years ago
6 0

Answer:

f(10) = 35 \\  \\ f( - 11) = 39 \\  \\ f(12) = 53 \\  \\ f(2) = 13

Step-by-step explanation:

f(x)  =  | - 5 - 4x|

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

<u>NB</u><u>:</u><u> </u> Absolute value of a negative number is the same number but positive.

So we have

f( - 10) =  | - 5 - 4( - 10)|  \\  =  | - 5 + 40|  = 35 \\  \\ f( - 11) =  | - 5 - 4( - 11)|  \\  =  | - 5 + 44|  = 39 \\  \\ f(12) =  | - 5 - 4(12)|  \\  =  | - 5 - 48|   \\  =  | - 53|  = 53 \\  \\ f(2) =  | - 5 - 4(2)|  \\  =  | - 5 - 8|  =  | - 13|  \\  = 13

Hope this helps you

mamaluj [8]3 years ago
6 0

Answer:

f(-10)=35

f(-11)=39

f(12)=53

f(2)=13

plz put brainliest

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Viktor [21]

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

6 0
3 years ago
Item 15 Write and solve an equation to find the number n. Eight plus the quotient of a number and 3 is −2. Equation: =−2 The num
BabaBlast [244]

Answer:

n = - 30

Step-by-step explanation:

Eight plus the quotient of a number and 3 is −2

Expressing in mathematical terms, we have;

8 + (n/3) = -2

To solve for n;

Multiply all through by 3.

3*8   +   3(n/3)  = 3 * (-2 )

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n = -6 - 24

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6 0
3 years ago
The difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1
otez555 [7]

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

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7 0
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Between 20 and 28 students signed up for the chess club. The students could not be divided exactly into groups of 2,3,4 or 5. Ho
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Those are not the answer: 
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8 0
3 years ago
How dose north america achieve 480VAC with 3 pole 120VAC
makvit [3.9K]

Answer:

There are a variety of factors driving the

adoption of 415/240VAC distribution. First,

distributing at these increased voltages

enables overall efficiency to be enhanced

by eliminating the need for a voltage

transformation along the power path. For

example, in a 415V system, the L-N voltage

is 240V, which is compatible with most all IT

loads. By shifting the UPS output distribution

voltage to 415/240 V three-phase (L-L/

L-N), most of the existing servers today can

be powered with 240V single-phase (L-N)

without any intermediate transformation.

Removing the need for a transformer

streamlines the power path and can increase

efficiency approximately 1.5 percent.

The adoption of a 415/240VAC distribution

model also can yield additional savings at

the device-level in the form of increased

efficiency for server power supplies. As

previously mentioned, today’s power

supplies can handle a wide range of incoming

voltages. Based on the actual voltage being

fed into the power supply, efficiencies can

range from as low as 80 percent (at 100V

nominal) to as much as 94 percent (at 240V

nominal) across all manufacturers.

Furthermore, while the typical efficiency

differential between 240V and 208V gained

at the server power supply today is a relatively

minimal, only 0.3 percent across most of

the load range, the efficiency differential

between 240V and 120V servers can be as

much as 2 percent for a given power supply.

It is this value that often gets overstated by

some manufacturers when comparing 415V

distribution to “traditional methods,” as

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Step-by-step explanation:

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