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babunello [35]
3 years ago
12

Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st

atement that could be true for g.
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
  • (D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

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lesya [120]

Answer:

88 m

Step-by-step explanation:

A=L×w

Where A=6072 m squared, w=69 m

6072=L×69

L=6072/69

L=88 m

3 0
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In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?​
o-na [289]

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

4x+7y=9              [subtract both sides by 4x]

7y=-4x+9           [divide both sides by 7]

y=-\frac{4}{7}x+\frac{9}{7}

Now, we know the slope is -4/7.

5 0
3 years ago
It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did i
MA_775_DIABLO [31]

Answer:

it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon 17 \frac{5}{6}  minutes to walk to Raj's house

It also took Sheldon 4\frac{5}{8} minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

17\frac{5}{6} - 4\frac{5}{8}=317/24

We can convert this to Mixed fractions as shown 13\frac{5}{24} minutes.

Therefore, it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

4 0
3 years ago
Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much doe
aliina [53]

Answer:

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Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

4 0
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Irina18 [472]
Theyre both divisible by 3
15n-18= 3(5n - 6)
5 0
3 years ago
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