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KonstantinChe [14]
3 years ago
7

Multiply or divide as indicated. x 2 • x 5

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
Hi there!

{x}^{2}  \times  {x}^{5}  = x {}^{2 + 5}  =  {x}^{7}

We can also write is out entirely.
{x}^{2}  = x \times x
{x}^{5}  = x \times x \times x \times x \times x
{x}^{2}  \times  {x}^{5}  = \\  (x \times x ) \times (x \times x \times x \times x \times x) =  \\ x \times x \times x \times x \times x \times x \times x =  \\  {x}^{7}
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Factorize 2x^4-7x^3-13x^2+63x-45 using factor theorem.
zheka24 [161]
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")

1║2  -7  -13    63  -45
  ║     2    -5  -18    45
    2  -5  -18    45    0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.

Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")

3║2  -5  -18    45 
  ║     6     3   -45   
    2   1  -15     0   

Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors.  Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.

Final Answer: (x-1)(x-3)(x+3)(2x-5)




8 0
3 years ago
If 2x+y=8 and x-1=y then what is y? Please be detailed I want to know more then just the answer but how to solve
IgorLugansk [536]
This is Bridge Algebra 2 stuff. Well you see that 2x+y=8 and x-1=y. To slove for y you have to slove for x first to find y. So 2x+x-1=8 ( the reason I did that is because there is a y in that equation and I placed it on that equation) now lets slove this equation for x. So 3x-1=8( I add 2x with x) 3x=9 ( I made -1 a positive one and add it to 8) x=3 ( I divided 9/3 to get 3). Now that you have slove x we will use x to slove for y. So 3-1=y, 2=y. Your answer is y=2.
4 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
3x - 7x =4<br> I need you to help me solve and work it out
djyliett [7]
3-7 is -4 so it becomes -4x=4 divide both sides by 4 to get -x=-1 a lot of teachers dont like that negative x so you can also divide by -1 again to make it x=1
hope it helps
4 0
3 years ago
A property is listed for $580,000. The listing agreement promises to
IgorC [24]

Answer:

$26,096

Step-by-step explanation:

property taxes = 31 January + 28 February + 31 March + 30 April + 31 May + 4 June = 155 days

property taxes = (155 days/365 days) x $5,309 = $2,254

agent's commission = 7% x $547,000 = $38,290

seller's net = $547,000 - $480,000 (mortgage) - $38,290 (agent's commission) - $360 (home warranty) - $2,254 (property taxes) = $26,096

8 0
3 years ago
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