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natita [175]
2 years ago
15

If f(x) = 2x^2 - 5 and g(x) = 3x3, find (f-g)(x).

Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

\text{Given that,}~ f(x) = 2x^2 -5 ~ \text{and}~ g(x) = 3x^3\\\\\text{Now,}\\\\ ~~(f-g)(x)\\\\=f(x) - g(x)\\\\=2x^2 -5 - 3x^3\\\\=-3x^3 +2x^2 -5

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In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
Solve the following <br><br> 4x-1/2=x+7
kipiarov [429]

Answer: x= 5/2

Step-by-step explanation::)

7 0
3 years ago
Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?
Usimov [2.4K]
Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold

We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40

Jane sold 40 cars.
8 0
3 years ago
A circle with radius 6 has a sector with a central angle of 48 what is the area of the sector
inn [45]

Answer:

≈ 15.08 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{48}{360} ( r is the radius )

   = π × 6² × \frac{48}{360}

   = 36π ×\frac{48}{360} = π × \frac{48}{10} = \frac{48\pi }{10} ≈ 15.08

5 0
3 years ago
Read 2 more answers
456+213 using the break apart strategy
GalinKa [24]
Fist break up each number in the hundreds column add the tens and the ones then add the hundreds to the previous answer
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4 years ago
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