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2 years ago

Question 4: Subtract the following polynomials in this equation.

Mathematics

1 answer:

charle [14.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

(x²-3x+8)-(7x²-2x-1)

x²-3x+8-7x²+2x+1

x²-7x²-3x+2x+8+1

-6x²-x+9

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What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot

netineya [11]

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

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-Chetan K

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3 years ago

The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The

Katena32 [7]

1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)

2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000

 $x= \frac{y-15,000}{1.5}$

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

 $x=g(y)=\frac{y-15,000}{1.5}$

since we generally use the letter x for the variable of a function, we write g again as:

$g(x)=\frac{x-15,000}{1.5}$

for example :

 $g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333$

tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is

 $g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000$ 
dollars.

Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation $f ^{-1}(x)$

6 0

3 years ago

Hardest math question ever

ohaa [14]

You can name planes by one letter or using three points belonging to it that are not on the same line.

Another name for plane X could be:

Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

B, C and F.

Collinear means 'on the same line'.

Other points on the same line as point C are:

A or B.

The line that intersects ED is:

AC, it can be also named AB or BC.

5 0

1 year ago

Write the equation of a line that has a slope of -3 and goes through the point (5,7).

ss7ja [257]

Answer:

The equation of the line would be D) y - 7 = -3(x -5)

Step-by-step explanation:

In order to find this, we must first start with the base form of point-slope form.

y - y1 = m(x - x1)

Now we put the slope in for m and the point in for (x1, y1)

y - 7 = -3(x - 5)

6 0

3 years ago

Im kinda confused on this. i need help.

RideAnS [48]

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

4 0

2 years ago

Read 2 more answers