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emmainna [20.7K]
2 years ago
10

Find the fourth term in the expanded form of (5x + 1)4.

Mathematics
1 answer:
Orlov [11]2 years ago
5 0
5X plus one plus positive four equals -247
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Please help me on my equation
r-ruslan [8.4K]

Step-by-step explanation:

g(x) has clearly in its core the same function curve.

but it is

1. upside-down

2. moved up from the x-axis by 1 unit

3. moved to the right of the y-axis by 3 units

so, how do we express these 3 attributes in the functional definition ?

1. easily : by flipping the sign. g(x) = -x² is the same function type just upside-down (mirrored into the negative y space).

g(x) = -x²

2. also very easy : a function is moved up or down on the coordinate grid by adding (or subtracting) a constant.

we need to move our function up by 1 unit : we add 1.

that makes currently g(x) = -x² + 1

3. this is the trickiest part. to move a function left or right we need to make the function "think" that the input value x is not x, but it is (x ± constant).

let's ignore 1. and 2. for the moment and just focus moving the original function 3 units to the right.

that tells us that the functional result value of x in the shifted function must be the same as the functional result value in the original function for an input value that is 3 units "earlier" on the x-axis.

that would mean g(0) = f(-3), g(1) = f(-2), g(2) = f(-1), g(3) = f(0), ...

so, we see, g(x) = f(x-3) = (x-3)²

now, we combine again 1., 2. and 3., and we get

g(x) = -f(x-3) + 1 = -(x-3)² + 1

5 0
3 years ago
Hector's service club is raising money by wrapping presents in the mall. The function f\left(x\right)=3xf(x)=3x describes the am
mestny [16]

Given:

The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

f(x)=3x

To find:

The f(658).

Solution:

We have,

f(x)=3x

Substitute x=658 to find the value of f(658).

f(658)=3(658)

f(658)=1974

It means, the club will earn $1974 for wrapping 658 presents.

Therefore, f(658)=1974.

7 0
2 years ago
Hey guys i just joined how do i do this
Sergeeva-Olga [200]

Answer: you can ask questions your struggling with and people like me will help you answer them. You can also help other people answer their questions and get points for it

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
I’ll give you brainliest!
weeeeeb [17]

Answer:

2139m (total area)

Step-by-step explanation:

I am like 98% sure this is right

23* 31= 713 (1 side area)

713+713=1426 (2 sides area)

31-12=19 (middle height)

19*23= 437 (middle area)

437+1426=2139m (total area)

7 0
2 years ago
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
Citrus2011 [14]

Answer:

a) Line M

b)Line M

c)y=1/2x+2

Step-by-step explanation:

a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)

b) Line M has a greater slope since its line is steeper

c) Use the formula y=mx+b

Use the points ( 0,1) and (-4,-1)

m(slope)= y2-y1/x2-x1

m= (-1-1)/(-4-0)

m=-2/-4

m=1/2

substitute

(0)=1/2(-4)+b

2=b(y-intercept)

y=1/2x+2

3 0
2 years ago
Read 2 more answers
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