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Nesterboy [21]
3 years ago
8

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:

  1. 0
  2. 1
  3. an infinite number

Step-by-step explanation:

<u>Case 1</u>

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.

<u>Case 2</u>

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.)

<u>Case 3</u>

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.

8 0
3 years ago
X^3 + 4x^2 + 5x +20 factor by grouping
mixas84 [53]

Step-by-step explanation:

x³ + 4x² + 5x + 20

x² (x + 4) + 5 (x + 4)

(x² + 5) (x + 4)

5 0
3 years ago
Your teacher made some mini loaves of banana bread to share with her students. Group of 4 students will share 6 loaves each. How
Ostrovityanka [42]
4 • 6 = 24

Each student will receive 24 mini loaves of banana bread.
5 0
3 years ago
Read 2 more answers
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