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3 years ago

14. Find the value of the function: If f(x) = 4x + 4x - 4, find f(0). f(0) =

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

$f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4$

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Please help me Solve for x. Have to show work

REY [17]

A -17 3/4< x so u have to simplify-17 3/4 by multiply 17*4=68+3=71/4 so the x stands for -71/4 and it has to be 4 as the denominator because it it the denominator for the question.
B, C, D are also the same answer-17/4
And for 15 3/4<-2+ x it is also the same answer

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3 years ago

Choose Yes or No to tell whether the expressions are equivalent. 1. 4(5c + 3) and 9c + 7 yes or no 2. 10f – 10 and 2(8f – 5) yes

Juli2301 [7.4K]

Answer:

1) No

2) No

3)Yes

4)No

Step-by-step explanation:

Distributive property: a(b + c) =a*b + a*c

1) 4(5c + 3) = (4*5c) + 4*3

= 20c + 12

2) 2(8f - 5) = (2*8f) - (2*5)

= 16f - 10

3) 3(4g + 7) = (3*4g) + (3*7)

= 12g + 21

YES

4) 6(4j - 6) =(6 * 4j) - (6*6)

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3 years ago

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8

stealth61 [152]

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Step-by-step explanation:

This arithmetic sequence has a common difference of d with first term = 4.

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

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2 years ago

How do u turn y +2=-3(x-1) Into standard form

Darina [25.2K]

Answer:

Step-by-step explanation:

$y+2=-3(x-1)\\\\\text{It's a point-slope form of an equation of a line}.\\\\\text{The standard form is:}\ Ax+By=C.\\\\\text{Convert:}\\\\y+2=-3(x-1)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\y+2=(-3)(x)+(-3)(-1)\\\\y+2=-3x+3\qquad\text{subtract 2 from both sides}\\\\y+2-2=-3x+3-2\\\\y=-3x+1\qquad\text{add}\ 3x\ \text{to both sides}\\\\y+3x=-3x+3x+1\\\\3x+y=1$

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3 years ago

Read 2 more answers

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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

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3 years ago

Read 2 more answers