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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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Which of the following equations has the same solutions as the equations 3x+2y=-12
Marianna [84]

B, C, E, F

<h2>Explanation:</h2>

In this problem, we have the following equation of a line written in Standard form:

3x+2y=-12

So  we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.

Option B.

-3x-2y= 12 \\ \\ Multiply \ both \ sides \ by \ -1: \\ \\ (-1)(-3x-2y)=(-1)(12) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option D.

15x+10y= -60 \\ \\ Multiply \ both \ sides \ by \ 1/5: \\ \\ (\frac{1}{5})(15x+10y)=(\frac{1}{5})(-60) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option E.

6x+2y= -12 \\ \\ Multiply \ both \ sides \ by \ 1/2: \\ \\ (\frac{1}{2})(6x+2y)=(\frac{1}{2})(-24) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

Option F.

1.5x+y= -6 \\ \\ Multiply \ both \ sides \ by \ 2: \\ \\ (2)(1.5x+y)=(2)(-6) \\ \\ 3x+2y=-12

So we get the same given equation. This option is valid!

For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.

<h2>Learn more:</h2>

About this subject: brainly.com/question/8810210

#LearnWithBrainly

7 0
3 years ago
I need help with #3 plz
Nadusha1986 [10]
The correct answer is A. 10 bracelets

5 0
3 years ago
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Help me out pls!!!!!!
klio [65]
It is at (2,4) hope it helps
4 0
2 years ago
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Find the VOLUME of this composite solid.
Black_prince [1.1K]

Answer:

  (294π +448) cm³ ≈ 1371.6 cm³

Step-by-step explanation:

The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.

The cylinder volume is ...

  V = πr²h = π(7 cm)²(6 cm) = 294π cm³

__

The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...

  V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³

Then the total volume of the composite figure is ...

  (294π +448) cm³ ≈ 1371.6 cm³

8 0
3 years ago
a 12 pound cat is prescribed amoxicillin at 5 mg kg twice a day for 7 Days the oral medication has a concentration of 50 mg ml a
velikii [3]
<span>The first step in determining the answer will need to be to convert the weight from imperial to metric. 12lbs ~ 5.44311kg Then we need to look at the total amount of amoxicillin needed. At 5mg/kg is ~27.5mg twice per day. The concentration is 50mg per ml. Knowing that the cat needs around 55mg, that leads us to 1.1ml daily.</span>
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