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3 years ago

5x+2y= -11 and 2x+2y=5 solve using elimination

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

Step-by-step explanation:

5x+2y=-11

2x+2y=5

so you find values that match or can multiply by something to match-2

5x+2y=-11

- 2x+2y=5

=3x+0y=-16

3x/3=-16/3

x=5 1/3

then substitute x in one of the equations to get y

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The sum of present ages of John and his father is 58 years. If John is 24 years younger than his father, then find the present a

Harrizon [31]

Answer:

father is 41

Step-by-step explanation:

J = johns age

f = fathers age

j+f = 58

j = f-24

Substitute the second equation into the first

f-24 +f = 58

2f -24= 58

Add 24 to each side

2f = 58+24

2f =82

f = 82/2

f = 41

7 0

3 years ago

A sample of radium has a weight of 1.5 mg and decays

Oliga [24]

Answer: $(b)$

Step-by-step explanation:

Given

Initial mass of radium is $A_o=1.5\ mg$

It decays by half every 6 years i.e. $T_{\frac{1}{2}}=6$

For radioactive decay, sample at any time is given by

$\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}$

Insert the values

$\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}$

Thus, option (b) is correct.

6 0

3 years ago

Let |x| + |y| = c where, c is s real number. Determine the number of points that would be on the graph of the equation for each

IRINA_888 [86]

Answer:

0
1
an infinite number

Step-by-step explanation:

Case 1

The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.

Case 2

The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)

Case 3

There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.