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PSYCHO15rus [73]
2 years ago
10

Determine if given table represents a function. Explain

Mathematics
1 answer:
vichka [17]2 years ago
3 0

Answer:

The table is not a function because of the same range and different domain values.

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Use average rates of change to determine if the function in the table is Linear or Non-linear.
nevsk [136]

We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1

Similarly, we will find the slopes using other given coordinates.  

m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1

m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1

Since the rate of change for each set of points is -1, so the rate of change is constant.

Therefore, the given function is linear.

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2 years ago
EASY MATH!!! The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. A. Solve the formula for C B. The boili
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F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)



B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC



C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC

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Answer:

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Step-by-step explanation:

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Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a
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We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

5 0
2 years ago
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
S_A_V [24]
The answer is 4/1 you just have to divide 7 from both numbers and then you will get 4/1
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