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anygoal [31]
3 years ago
11

1. Write using exponents. (–4)(–4)

Mathematics
1 answer:
AveGali [126]3 years ago
8 0
Exponents are used as a shorthand notation for repeated multiplication.
  (-4)(-4) = (-4)^{2}
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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
Is (x-3) a factor of f(x) = x^2 - 32?
Leokris [45]

Answer:

No

Explanation:

Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial

Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial

We set x-2 to zero:

\begin{gathered} \text{ x-2 = 0} \\ x\text{ = 2} \end{gathered}

Now, we substitute 2 into the polynomial as follows:

f(2)\text{ = }2^2-32\text{ = 4-32 = -28}

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial

3 0
1 year ago
A. Dos números enteros positivos cuya diferencia sea 42
vivado [14]

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

4 0
2 years ago
What is the m<2 = ?
Anettt [7]

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 27/33 is the lowest term?
MariettaO [177]
9/11

Hope this helps
6 0
2 years ago
Read 2 more answers
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