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ch4aika [34]
3 years ago
14

Solve the following system of equations using the substitution method.

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

y=1; x=2

Step-by-step explanation:

Substitution:

x=2y

2x+5y=9

=> if x=2y, plug in the x value into other equation, so

----------------------------------------------------------------------------

2(2y)+5y=9

4y+5y=9

9y=9

y=1

You have the Y value, so now solve for X

-----------------------------------------------------------------------

plug in y value to x=2y

so x=2(1)

x=2

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A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multi
Maksim231197 [3]

Answer:

6 possible integers

Step-by-step explanation:

Given

A decreasing geometric sequence

Ratio = \frac{m}{7}

Required

Determine the possible integer values of m

Assume the first term of the sequence to be positive integer x;

The next sequence will be x *  \frac{m}{7}

The next will be; x *  (\frac{m}{7})^2

The nth term will be x *  (\frac{m}{7})^{n-1}

For each of the successive terms to be less than the previous term;

then \frac{m}{7} must be a proper fraction;

This implies that:

0 < m < 7

<em>Where 7 is the denominator</em>

<em>The sets of </em>0 < m < 7<em> is </em>\{1,2,3,4,5,6\}<em> and their are 6 items in this set</em>

<em>Hence, there are 6 possible integer</em>

3 0
3 years ago
Please help me wiht this
Alex17521 [72]

Answer:

Kevin

Step-by-step explanation:

5 0
3 years ago
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface aft
den301095 [7]

Answer:

2.3 feet/ second

Step-by-step explanation:

To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.

This is given by rate of change = (change in position)/ change in time

From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.

Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds

Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.

Rounding off the answer to the nearest tenth, we have 2.3 ft/second

5 0
3 years ago
Find the perimeter and area of this rectangle
yulyashka [42]
P = 11 + 4 + 18 + 37 + 7 + 19 = 96

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3 0
3 years ago
Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.
Gennadij [26K]

Answer:  The answer is Yes.


Step-by-step explanation:  Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.

From second law of motion, we have

Weight = mass × acceleration due to gravity.

That is, W = m × 9.8 m/sec².

The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.

Thus, if Michael' mass is 8 kg, then his weight will be

W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.

Thus, his estimation is perfectly OK.


8 0
3 years ago
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