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4 years ago

26. If the area of the rectangle shown below is given by the expression 3x + 7x - 6,

Mathematics

1 answer:

Crazy boy [7]4 years ago

6 0

Answer:

D=(3x-2)

Step-by-step explanation:

Area=length×width =3x²+7x-6

thus a=3 b=7 c=-6

W=(x+3)

since c is -6 it has to be the product of 3(from W)=-2

since a=3 multiply by x (from W) 3×x=3x

=3x-2

check if its correct.

3x-2×x+3

x(3x-2)+3(3x-2)

3x²-2x+9x-6

3x²+7x-6 thus its true

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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. At a historical la

Alborosie

Answer:

The number of candles will hold 2 candles

And large candle holder will hold 6 candles.

Step-by-step explanation:

Let the number of candles small candle holder have x

And the number of candles large candle holder have y

So, according to the information given in the question:

17 small candle holders means 17 x

and 2 large candle holders means 2y

using a total of 46 candles means $17x+2y=46$ (1)

Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:

$8x+2y=28$ (2)

We will solve equation (1) and (2) by elimination method:

Subtractijng the two equations we get:

$9x=18$

$\Rightarrow x=2$

Substitute x=2 in equation(2) we get: $8(2)+2y=28$

$2y=12$

$\Rightarrow y=6$

So, the number of candles will hold 2 candles

And large candle holder will hold 6 candles.

7 0

3 years ago

Use the formula to evaluate the series 1+2+4+8+...a10

valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

$S_n = \frac{a(1-r^n)}{1-r}$

where a is the first term and n is the number of term.

Given the series: $1+2+4+8+.................+a_{10}$

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

$S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023$

Therefore, the sum of the given series is 1023

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