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irina [24]
3 years ago
15

What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Step-by-step explanation:

3x - 3 - 4x - 2 = 8x - 8

Solving like terms

-x - 5 = 8x - 8

Bringing like terms on one side

-5 + 8 = 8x + x

3 = 9x

3/9 = x

1/3 = x

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Can someone please answers these questions
Zarrin [17]
Try this option (<u>not for all the tasks!</u>):
1) rule for n-angle is: S=180°(n-2), where n - number of the sides. S₁₅=180*13=2340°;
2) S₂₅=180*23=4140°;
4) this is deltoid;
5) this is paralelogram;
6) x=130°; y=50°;
10) x=90°; y=30° (it is deltoid);
12) not enough info for parallelogram (the same for deltoid);
14) it is enough: according to a property of a parallelogram (it means that a square and rombus are parallelograms);
15) it is enough according to the properties of parallelograms;
16) x=2; y=1;
18) poit S(0;0); point T(b+c;d). The coordinates of the midpoint are (0.5b+0.5c;0.5d); slope=arctg(d/(b+c)).
5 0
3 years ago
Use the given zero to find the remaining complex zeros of the polynomial function and write the polynomial as a product of linea
lidiya [134]

Answer:

(x - 2)(x - 5 + 2i)(x - 5 - 2i)

Step-by-step explanation:

If one zero is 2, then one factor is (x - 2).

Use synthetic division here.  Taking the coefficients 1, 8, 6 and -52, divide 2 into them:

2    /  1      8      6     -52

                2     20     52

      -----------------------------

          1     10     26     0

Because the remainder is zero, we know that 2 is a root and (x - 2) is a factor, and that the coefficients of the quadratic quotient are 1, 10 and 26.

The discriminant is thus b^2 - 4ac, or 10^2 - 4(1)(26), or  100 - 104, or -4.

Because the discriminant is negative, we know that there will be two factors which themselves are complex conjugates.  One such factor is

      10 ± √-4         10 ± 2i

x = --------------- = ---------------

             2                   2

The complex zeros are thus x = 5 ± 2i.

The corresponding factors are (x - 5 + 2i) and (x - 5 - 2i)

and so the polynomial is

(x - 2)(x - 5 + 2i)(x - 5 - 2i)

5 0
3 years ago
The sales tax in New York is 8.25%. About how much will a $65.95 pair of shoes cost, including sales tax?
SpyIntel [72]
Not exactly sure but I think it's 74.2
6 0
3 years ago
Simplify. 3(2x – 2) + 5x
Oliga [24]

Answer:

D

Step-by-step explanation:

3(2x-2)+5x

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4 0
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396.9
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3 years ago
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