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3 years ago

Evaluate the given algebraic expression for x = 2 and y = 3.

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

Answer:

Step-by-step explanation:

To evaluate substitute x = 2 and y = 3 into the expression

- 3xy = - 3 × 2 × 3 = - 6 × 3 = - 18 → C

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3/4+5/36+7/144+.......+17/5184+19/8100<br><br>(a)0.95 (b)1 (c) 0.99 (d)0.98

abruzzese [7]

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

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3 years ago

If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.

xz_007 [3.2K]

Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

n = k(k+1)(k-1)

If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

if k-1 is odd, then k and k+1 is even, hence, divisible by 2.

As n = k(k+1)(k-1), n is also divisible by 6.

4 0

3 years ago

Find the equation of the line passing<br> through the points (3,-2) and (4, 6).<br> y = 8x + [?]

Sauron [17]

Step-by-step explanation:

1.) Plug in one of the points.

y = 8x + b

6 = 8(4) + b

2.) Solve for b (or [?])

$6 = 32 + b \\ - 32 \: \: \: \: \: \: \: \: \: - 32$

32 cancels out on the right side.

Subtract 32 from 6, which is -26

3.) -26 = b

4.) Check with other point:

-2 = 8(3) + b

-2 = 24 + b

Cancel out 24 on the right side: 24-24 = 0

-2 - 24 = -26

-26 = b

4 0

2 years ago

Supply and demand coordinate to determine prices by working

Verdich [7]

The Answer is Together

4 0

3 years ago

On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?

WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is $1\ inch: 20\ miles$

That means

1 inch on a map represent 20 miles in the city

An area of $(1)(1)=1\ in^2$ on a map represent an area of $(20)(20)=400\ mi^2$ in the city

Applying proportion

$\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2$

3 0

3 years ago