Determine whether −3x−y2=−1 is a function.
Answers
The equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.
To determine whether the equation −3x − y² = −1 represents a function, we need to check if there is a unique output (y) for every input (x) or if there are multiple outputs for the same input. In other words, we need to ensure that each x-value maps to only one y-value.
First, let's rearrange the equation to isolate y²:
−3x − y² = −1
y² = 3x - 1
Now, it's evident that for a single value of x, there could be two possible values of y due to the square root. This means that for some values of x, there would be multiple outputs (y-values). Therefore, the equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.
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Answer:
No (not a function)
Step-by-step explanation:
Begin by isolating the y-term to find
−3x−y2−y2y2=−1=3x−1=−3x+1
For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have
y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5
We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.
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An architect uses a scale of 3 4 inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24 feet long, how long (in inches) will the line be on the blueprint?
Diego lives 1/2 miles from school.What is 50% of 1/2
Answers
Answer:
Step-by-step explanation:
The four sides of the quadrilateral touches the circle. This means that the opposite angles of the quadrilateral are supplementary.
It means that the sum of the angles is 180 degrees From the given diagram,
Angle B + angle R = 180
Angle B = 180 - 85
Angle B = 95 degrees
Angle D + angle I = 180
Angle D = 180 - 117
Angle D = 63 degrees
Answer
<B is 95, and <D is 63
Step-by-step explanation:
Opposite angles have sum 180, so angle of the B is 180-85=95, and angle of the D is 180-117=63
What is the y intercept of the line represented by the equation
3x+2y = 6?
Answers
Answer:
3
Step-by-step explanation:
To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:
Start with:
Subtract from both sides of the equation:
Divide both sides of the equation by the coefficient of , which is
:
Identify the y-intercept:
5(2x - 9) + 3 =-
Answers
Answer:
Step-by-step explanation:
5(2x-9)+3
10x - 45 +3
10x - 42
x- 4.2
Answers
Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³
D = mV=99.7g22.1cm³ = 4.51 g/cm³
Step-by-step explanation:
d = mV
m = d×V
V = md
DENSITY
Density is defined as mass per unit volume.
d = mV
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d = mV = 433g200cm³ = 2.16 g/cm³
MASS
d = mV
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL × 1.11g1mL = 555 g
VOLUME
d = mV
We can rearrange this to get the expression for the volume.
V = md
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg × 1000g1kg = 14 830 g
Step 2: Calculate the volume.
V = md = 14 830 g × 1cm³19.32g = 767.6 cm³
Answers
By definition, the arc length is given by:
S = R * theta
Where,
R: radio
Theta: central angle
Clearing the angle we have:
Theta = S / R
Substituting values:
Theta = 6/4
Simplifying:
Theta = 3/2
Answer:
Theta angle is:
Theta = 3/2
Answers
The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.
Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours
Since they worked a total of 7 days, hence:
x + y = 7 (1)
Also, they flew for 24 hours hence:
4x + 2y = 24 (2)
Solving equations 1 and 2 simultaneously gives:
x = 5, y = 2
Therefore they fly 4 hours for 5 days and 2 hours for 2 days.
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