Answer:
x = 10
y = 3
Step-by-step explanation:
Given
2x - 6y = 2
x + 6y = 28
Add both equations
2x + x -6y + 6y = 2 + 28
3x = 30
Divide both sides by 3
x = 30/3
x = 10
Substitute 10 for x in either equations to get y
Using equation 2 , we have
x + 6y = 28
10 + 6y = 28
Subtract 10 from both sides
10 - 10 + 6y = 28 - 10
6y = 18
Divide both sides by by 6
y = 18/6
y = 3
Therefore
x = 10
y = 3
Answer:
|96.55−0.02|= x
|96.55+0.02|=x
Step-by-step explanation:
Given that:
Measured length of beam = 96.55 cm
Measurement accuracy = plus or minus (± 0.02cm)
Limits of actual length of the beam:
Let limit of actual length = x
Lower limit :
|measured length - accuracy| = x
|96.55 - 0.02| = x
96.53) x
Upper limit :
|measured length + accuracy| = x
|96.55 + 0.02| = x
96.57 = x
Answer:
The domain is y > 3
Step-by-step explanation:
y = 2⁻ˣ + 3
As x approaches -∞, y approaches ∞.
As x approaches ∞, y approaches 3.
So the range is y > 3, and there is an asymptote at y = 3.
Compared to the parent function y = 2ˣ, it is reflected over the y-axis and shifted up 3 units.
The false statement is "the domain is y > 3". Domain describes the possible values of x. Range describes the possible values of y.
Representing the scenario using mathematical expressions, the number of yellow balloons filled is 10.
<u>Puff required</u> :
- Blue Ballon = 16
- Yellow Ballon = 23
- Green Ballon = 26
- Red Ballon = 32
- Total puffs = 1000
Let :
- Number of yellow = y
- Number of Blue = 2y
- Number of Red balloons = y
- Number of green balloons = y/2
<u>Mathematically, the total puffs can be represented thus :</u>
23y + 16(2y) + 32y + 26(y/2) = 1000
23y + 32y + 32y + 13y = 1000
100y = 1000
y = 1000/10
y = 10
Therefore, Billy filled 10 yellow balloons.
Learn more : brainly.com/question/18405415
