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3 years ago

Factor the expression below.

2 answers:

5 0

A. (x+8)(x-8)

Because 64 factored is 8x8 and to get a net you need a positive and negative. And X^2 factored is just two X’s.

monitta3 years ago

5 0

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

64 = 8 * 8 = 8²

x² - 64 = x² - 8²

= (x +8)(x - 8)

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Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.

Damm [24]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$

4 0

3 years ago

Read 2 more answers

A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon o

AURORKA [14]

Answer:

12 gallons

Step-by-step explanation:

Total gallons = 16 gallons

Total distance = 460 miles

Fuel efficiency in the highway = 30 miles per gallon

Fuel efficiency in the city = 25 miles per gallon

Let

h = gallons of gasoline were used on the highway.

460 = 30h + 25(16 - h)

460 = 30h + 400 - 25h

460 - 400 = 30h - 25h

60 = 5h

h = 60/5

h = 12 gallons

12 gallons of gasoline were used on the highway.

7 0

3 years ago

You have 13406190 pennies, how much do they weigh in pounds if each penny weighs 4 grams and 1kg = 1000 grams and 1kg = 2.2 poun

Shkiper50 [21]

The pennies weigh 24374.89 pounds

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3 years ago

Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more si

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A hundred more cars would need to be added.

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4 years ago

Select the two binomials that are factors of this trinomial.

Yuki888 [10]

Answer:

b and d

Step-by-step explanation:

Sum = 4

Product = -32

Factors = 8 , (-4)

x² + 4x - 32 = x² + 8x - 4x - 4*8

= x(x + 8) - 4(x + 8)

= (x + 8)(x - 4)

6 0

3 years ago