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miss Akunina [59]
3 years ago
5

Factor the polynomial. 48w^7 30w^4 a) 6w^4(8w^3 5) b) 6w^3(8w^4 5w) c) w^4(48w^3 30) d) 6(8w^7 5w^4)

Mathematics
1 answer:
Oliga [24]3 years ago
8 0
48w^7 + 30w^4 = 6w^4(8w^3 + 5)
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the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
2 years ago
Find the difference quotient of the exponential function, f(x) = e^x
Orlov [11]

Answer:

Step-by-step explanation:

The difference quotient in general looks like

\frac{f(x+h)-f(x)}{h}   Sometimes the symbol "delta x"  \Delta x   is used instead of h.

For the exponential function, the difference quotient is

\frac{e^{x+h}-e^x}{h}

5 0
3 years ago
If f(X+4) =3x+4 , then find the value of f(4) <br>please explain it clearly .​
Paul [167]

\\ \sf\longmapsto f(x+4)=3x+4

\\ \sf\longmapsto f(x)=3x+4-4

\\ \sf\longmapsto f(x)=3x

Now

\\ \sf\longmapsto f(4)

\\ \sf\longmapsto 3(4)

\\ \sf\longmapsto 12

7 0
2 years ago
How do you show your work for 70×114​
vladimir1956 [14]
You dont there is no way to. You just say 70x114=7980
5 0
2 years ago
Read 2 more answers
Solve the quadratic by factoring. x to the power of 2+ 12x + 32 = 0​
Ne4ueva [31]

Answer:

x = - 8, x = - 4

Step-by-step explanation:

x² + 12x + 32 = 0 ← in standard form

(x + 8)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x + 4 = 0 ⇒ x = - 4

7 0
3 years ago
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