X+3y=14 6x+3y=-6 is there a possible solution?

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}x+3y=14\n6x+3y=-6&/\cdot(-1)\end{array}\right\n+\left\{\begin{array}{ccc}x+3y=14\n-6x-3y=6\end{array}\right\n-----------\n.\ \ \ \ \ -5x=20\ \ \ \ /:(-5)\n.\ \ \ \ \ \ \ \ \ \ x=-4\n\n-4+3y=14\n3y=14+4\n3y=18\ \ \ \ /:3\ny=6\n\nSolution:x=-4\ and\ y=6

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Factor completely, the expression: 2x^3-2x^2-12x

Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3

Answers

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

y\geq -(1)/(3)x+2

y < 2x + 3

Here shaded area above the solid line represents the inequality,

y\geq -(1)/(3)x+2

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.

Which of the following sequences of numbers are arithmetic sequences?

Answers

Answer:

C), D) and E)

Step-by-step explanation:

First let's see what an arithmetic sequence is.

A arithmetic sequence is series of numbers where the difference between the successive terms must be a constant.

For example,

2, 4, 6, 8, 10.....

If you find the difference between the successive terms, it will be the same constant.

4 -2 = 2

6 -4 = 2

8 -6 = 2

This is called arithmetic sequence.

A and B are not the arithmetic sequence. The different is not the same constant.

C) 345, 346, 347, 348, 349....

Difference = 1 between the two successive terms.

So it is an arithmetic sequence.

D) 54, 71, 88, 105, 122...

Difference = 71 - 54 = 17

88 - 71 = 17

So it is an arithmetic sequence.

E) -3, -10, -17, -24, -31...

Difference = -10 -(-3) = -10 + 3 = -7

Difference of -10 and -17 is -17 -(-10) = -17 +10 = -7

So it is an arithmetic sequence.

Answer: C), D) and E)

Hello,

A:no
B:no
C,D,E :yes

All you have to do : is the difference of next term and the term must be constant.

Evaluate 5y1-y0 if y=-8

Answers

Answer:

-40

Step-by-step explanation:

5*(-8)*1-(-8*0)

-40+0

-40

The ________ sum of squares measures the variability of the sample treatment means around theoverall mean.
a. treatment
b. error
c. interaction
d. total

Answers

The TREATMENT sum of squares measures the variability of the sample treatment means around the overall mean.

The sum of squares is used to measure the variation about the mean, In ANOVA we have:

Sum of square Error : measures the variation between each observation in a group and the mean of that group.

Sum of square treatment : measures the variation between the mean of each group and the overall mean.

Total Sum of Square : measures the variation between each observation and the overall sample mean.

Hence, Treatment sum of squares measures variation between sample treatment and overall sample mean.

Learn more : brainly.com/question/23638404

Answer:

treatment

Step-by-step explanation:

hope this helps, I did OSM 202 MC , as well.

P (1+r)^n $750 at 7% for 9 years compounded annually
Total amount=
Interest amount=

Answers

Answer with Step-by-step explanation:

Total amount = P(1+r)^n

Here, P=$750

r=7/100=0.07

n=9

Total amount=

750(1+0.07)^9\n\n=750* 1.07^9\n\n=\$ 1378.8

Interest amount=Total amount-Initial amount

                         =1378.8-750

                        = $628.8

Hence,

Total amount=

$1378.8

Interest amount=$628.8

A = 750(1+0.07)^9
A = $1378 

$1378 - $750 = $628

total amount = $1378 
interest amount =
 $628

1/4 divided by 2/7 ( symplify) ?

Answers

1/4÷2/7
This is can be rewritten as;
1/4×(7)/(2)
=(7)/(8)