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2 years ago

N order to write an expression like (5x + 4)3 in expanded form, it helps to look at (5x + 4) as just one number, n.

1 answer:

6 0

The expression (5x + 4)^3 in expanded form is 125 x3 + 300 x2 + 240 x + 64. The expression will have also a root of x = -4/5. This is the form of trinomial expansion and can be solve by multiplying the the term 3 times.

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Which of the following equation has x = 0 as a solution?

Sophie [7]

Step-by-step explanation:

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2 years ago

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There are going to be presentations at a school. If 30 people can fit in a room, how many rooms are necessary if there area tota

DanielleElmas [232]

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3 years ago

Shirley has a collection of 50 stamps and adds 4 stamps daily to her collection. model this situation as a function of number of

kompoz [17]

Stamps - S

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1 year ago

The cost of a book is $x what is the expression in terms of x for the number of these books which are bought for $40

spayn [35]

Answer:

In x dollars,

number of book that can be bought = 1

So, In 1 dollar,

number of books that can be bought = 1/x

Hence in 40 dollars,

number of books that can be bought = 40/x

6 0

2 years ago

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The table represents the function f(x).

Irina18 [472]

Step 1

Find the slope of the function f(x)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Let

$A(-6,0)\\B(0,4)$

substitute

$m=\frac{4-0}{0+6}$

$m=\frac{4}{6}$

$m=\frac{2}{3}$

Step 2

Find the y-intercept of the function f(x)

The y-intercept is the value of the function when the value of x is equal to zero

in this problem the y-intercept of the function is the point $B(0,4)$

the y-intercept is equal to $4$

Step 3

Verify each case

we know that

the equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

case A) $f(t)=t+4$

In this case we have

$m=1\\y-intercept=4$

therefore

the function of case A) does not have the same slope as the function f(x)

case B) $f(t)=t-6$

In this case we have

$m=1\\y-intercept=-6$

therefore

the function of case B) does not have the same slope and y-intercept as the function f(x)

case C) $f(t)=\frac{2}{3}t+4$

In this case we have

$m=\frac{2}{3}\\y-intercept=4$

therefore

the function of case C) does have the same slope and y-intercept as the function f(x)

case D) $f(t)=\frac{2}{3}t+6$

In this case we have

$m=\frac{2}{3}\\y-intercept=6$

therefore

the function of case D) does not have the same y-intercept as the function f(x)

therefore

the answer is

$f(t)=\frac{2}{3}t+4$

4 0

3 years ago

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