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2 years ago

Is the relation shown in the arrow diagram a function?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

4 0

Answer:

Yes. Every unique input has a unique output.

Step-by-step explanation:

Since every input has a different output, therefore it's a function. It's not a function when the input have more than 1 output. When graphing, make sure you take the vertical line test to see whether or not the graph is a function.

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The book costs $49.95 with 3% sales tax. What is the total cost?

VladimirAG [237]

Answer:

74.8

Step-by-step explanation:

hope im right!

8 0

2 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

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

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

Is 5.564 bigger than 5.654

Charra [1.4K]

Answer:

Step-by-step explanation:

5.564 - 5.654= -0.09

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8 0

1 year ago

Read 2 more answers

2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?

stich3 [128]

Answer:

5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.

Step-by-step explanation:

7 0

2 years ago

What is 55 percent of 80 proportion

stiks02 [169]

The answer is 44.

All u have to do is multiply 80 * 55% and u get 44, hope this helps.

5 0

3 years ago