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Step2247 [10]
3 years ago
5

How many solutions does this system of

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

Step-by-step explanation:

3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3.....slope here is -3/2 and y int is 3

-4x + 6y = 15

6y = 4x + 15

y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION

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FACTOR. THEOREM is x-3 a factor?!
Oduvanchick [21]

Answer:

Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)

Step-by-step explanation:

Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor.  The coefficients of the polynomial p(x) are {2  -5  -4  0  9}.

Setting up synthetic division:

3   /   2    -5    -4    0    9

                6     3    -3   -9

    -------------------------------

          2     1     -1     -3    0

Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.

3 0
3 years ago
Here are some point to help with your difficulties Hope you have a good day :)
Arlecino [84]

Answer:thanks

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Rewrite in simplest terms: −9(5s−6)+9s
slega [8]

Answer:

-36s + 54

Step-by-step explanation:

−9(5s − 6) + 9s =

-45s + 54 + 9s =

-36s + 54

8 0
3 years ago
Read 2 more answers
The figure below is a rectangular box in which EFGH and ABCD are rectangles and BF is perpendicular to planes EFGH and ABCD. Use
vladimir1956 [14]

Answer:

Step-by-step explanation:

Given question is incomplete: Find the compete question in the attachment.

a). Skew lines neither the parallel lines nor they intersect each other.

Two pairs of skew lines are BF and EH, & CG and EF.

b). Since EFGH and ABCD are rectangular planes and BF and DH are perpendicular to them,so both will be the altitudes between the planes.

Therefore, BF and DH will pe parallel.

c). BD and DH are the diagonals of the planes parallel to each other.

Therefore, BD and DH will be parallel.

d). Since BD and plane EFG don't intersect each other, so the solution will be an empty set.

e). HG is perpendicular to DH. So,the planes BDH and FHG containing these lines will be perpendicular to each other.

4 0
3 years ago
20,15,11.25,... find the reclusive and explicit equations
tia_tia [17]

Answer:

Recursive equation T_{1} = 20 and T_{n + 1} = T_{n} \times (0.75) = 0.75T_{n} where, n = 1, 2, 3, 4, ........ .

Explicit equation T_{n} = 20(0.75)^{n - 1}.

Step-by-step explanation:

The given series is an G.P. series and the common ratio is 0.75.

Now, the terms are 20, 15, 11.25, .......

Therefore, the explicit equation of the series will be T_{n} = 20(0.75)^{n - 1}

Again, the recursive equation of the given G.P. series will be

T_{1} = 20 and T_{n + 1} = T_{n} \times (0.75) = 0.75T_{n} where, n = 1, 2, 3, 4, ........

6 0
3 years ago
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