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kobusy [5.1K]
3 years ago
8

Using the graph below select all statements that are true

Mathematics
1 answer:
Leokris [45]3 years ago
6 0

Answer:

A.This is the graph of the greatest integer function

E. f(-3.4)=-4

Step-by-step explanation:

The graph shown in the attachment is the parent greatest integer function.

f(x)=[x]

This takes any integer as an input and the output is the greatest integer less than the input.

For instance

f(4.9)=4 because 4 is the greatest integer less than 4.9

f(-3.4)=-4 because -4 is the greatest integer less than -3.4

This graph is not one-to-one because more x-values can correspond to one y-value.

For instance f(3.4)=3 and f(3.9)=3

The correct options are A and E

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y=−2x+4 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
GalinKa [24]

Answer:

2x+y=4

Step-by-step explanation:

7 0
2 years ago
A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 7
Irina18 [472]

Answer: C. 265.9^{\circ}F

Step-by-step explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

D = 338e^{-0.03t}

At t= 8 minutes, we get

D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F

The approximate temperature of the pan after it has been away from the heat for 8 minutes=   265.9^{\circ}F

6 0
3 years ago
This graph shows the solution to which inequality?
Ksenya-84 [330]

Answer:

The graph shows the solution of the inequality y > \frac{4}{3} x - 2 ⇒ D

Step-by-step explanation:

In the inequality,

  • If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line
  • If the sign of inequality is < or >, then the line that represents it must be a dashed line
  • If the sign of inequality is > or ≥, then the shaded area must be over the line
  • If the sign of inequality is < or ≤, then the shaded area must be under the line

From the given graph

∵ The slope of the line = \frac{2--6}{3--3} = \frac{2+6}{3+3} = \frac{8}{6} = \frac{4}{3}

∵ The y-intercept is (0, -2)

∵ The line is dashed and the shaded area is over the line

→ By using the 2nd and 3rd notes above, the line is dashed and

   the sign of inequality is >

∴ The inequality is y > \frac{4}{3} x - 2

∴ The graph shows the solution of the inequality y > \frac{4}{3} x - 2

7 0
3 years ago
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. (pls show an equation to determine S
Nimfa-mama [501]

Answer:

64=4(a-44)

Step-by-step explanation:

64=4(a-44)

64=4a-176

64+176=4a

240=4a

4a=240

a=240/4

a=60 years old

6 0
3 years ago
Alex created a map of his neighborhood using a scale of 1 inch= 2 blocks.If his street is 6 blocks long how long will it be on t
erica [24]
It will be 3 inches long
6 0
3 years ago
Read 2 more answers
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