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melamori03 [73]
3 years ago
9

The table represents the function f (x) = 3x-1

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The values in the table must satisfy the equation:

f(x) = 3x - 1

a = f( - 5) = 3( - 5) - 1 =  - 16

Also,

b = f(4) \\ b = 3(4) - 1 \\ b = 12 - 1 \\ b = 11

Lastly,

c = f(8) \\ c = 3(8) - 1 \\ c = 24 - 1 \\ c = 23

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45°
ioda

Answer:

   x = \sqrt{\frac{7}{2} }

Step-by-step explanation:

<u><em>Explanation</em></u>

From given graph

          AC = √7

 Given angle ∝ = 45°

    cos\alpha = \frac{adjacentside}{Opposite side}

   cos45 = \frac{x}{\sqrt{7} }

      \frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }

       x = \frac{\sqrt{7} }{\sqrt{2} }

      x = \sqrt{\frac{7}{2} }

     x = 1.8708

7 0
3 years ago
Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a st
muminat

Answer:

Distance: 25 miles

Step-by-step explanation:

we have distances between cities as follows:

From Portland to Tacoma: 120 miles

from Portland to Seattle: 145 miles

120+x=145 ⇒ x = 145 - 120 = 25 miles

from Tacoma to Seattle : 25 miles (according graph)

3 0
3 years ago
The sum of two numbers I'd 16. Three times the larger number decreased by the smaller is 72. Find the number
maksim [4K]

Answer:

22, -6

Step-by-step explanation:

Create a system of equations.

x= the larger number

y=the smaller number

Using what you know, create the equations:

x+y=16

3x-y=72

Now add the two equations together. (elimination method)

    x+y=16

+  3x-y=72                (the y's cancel out)

-----------------

     4x = 88               Divide.

       x = 22

Now plug in x=22 into one of your equations to solve for y.

x+y=16

22+y=16

y=-6

The numbers are 22 and -6.

4 0
3 years ago
Anita says she can't define art but she knows it when she sees it. In Anita's mind, art is a(n) )
saw5 [17]

Answer:

Natural concept

Step-by-step explanation:

In psychology, natural concept represents events drawn from personal experience which were initially learned by someone without necessarily expressing the logic behind it. In this case, Anita doesn't give logical explanation of art despite having learned about it but since she can identify an art, this is part of natural concept. Therefore, the right answer is natural concept.

3 0
3 years ago
This is very important, please help mee :)
Bogdan [553]

Answer:

f(-1) = 3

Step-by-step explanation:

f(-1) means the value of y at x = -1.

So what's the value of y at x = 1?

First, focus on the graph and look at x = -1.

Next, see which y-value does graph pass through when x = -1.

Looks like the graph passes y = 3 when x = -1

Thus, f(-1) = 3

7 0
3 years ago
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