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Sphinxa [80]
3 years ago
5

Refer to the equation 2 x − 6 y = 12. (a) Create a table of values for at least 4 points. Show your work. (b) Use the table of v

alues to graph the line. **Please answer A and B**

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0
For easy calculation first transpose the equation into the y-intercept form then create your table and plot the graph.
 
       If   2x - 6y = 12
         then  -6y = 12 - 2x
                    6y = 2x - 12
                      y = [2 (x - 6)] /6
               ⇒    y = (x - 6) / 3

The table and graph are attached below.

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The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the
muminat
Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
2w = 7
w = 3.5

w+2 = 0
w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

3 0
3 years ago
Can i get some help with this
Olegator [25]

If we draw RU and RT we see the radii are perpendicular to the tangents, so TRU and TZU are supplementary. Since TZU=XZY=15 degrees, TRU=180-15=165 degrees. So the other side is 360-165=195 degrees as is the measure of arc TSU


Answer: 195 degrees



7 0
2 years ago
I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

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

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

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

x = 6\\\\(x-6) = 0

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

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

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

x = 1\\\\(x-1) = 0

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

x = 4\\\\(x-4) = 0

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

x = -1\\\\(x + 1) = 0

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

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
2 years ago
What is the answer 12 x 12
aleksandr82 [10.1K]

12 × 12 would equal to 144

Hope this helped! :D

8 0
3 years ago
Read 2 more answers
In the complex number system, which of the following is equal to
pogonyaev

Answer:

C) 122+154i

Step-by-step explanation:

(14-2i)(7+12i)\\\\(14)(7)+(14)(12i)+(-2i)(7)+(-2i)(12i)\\\\98+168i-14i-24i^2\\\\98+154i-24(-1)\\\\98+154i+24\\\\122+154i

Therefore, C is correct. Recall that i^2=-1

3 0
2 years ago
Read 2 more answers
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