MATHEMATICS HIGH SCHOOL

Write a rule for a geometric sequence that has -6 as its first term and a common ratio of 2. What is the tenth term of this sequence?A) A(n) = 2 * -6^10-1; -20,155,392
B) A(n) = -6 * 2^n; -6144
C) A(n) = -6 * 2^n-1; -3072
I need this Answered ASAP, Thank you

Answers

Answer 1
Answer: The general form of the geometric sequence is a_(n) = a_(1) (r) ^(n-1), where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1.  Our formula then looks like this: a_(10) =-6(2) ^(10-1).  Simplify it to  a_(10) =-6(2)^9.  Take 2 to the 9th power then multiply it by -6 to get -3072.  C is your answer.

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Which of the following are the factors of q3 – q2 + 2q – 2?

Answers

Hello,

q^3-q²+2q-2=q²(q-1)+2(q-1)=(q-1)(q²+2)

Someone help!!!!! Which graph is defined by the function given below?y = (x - 5)(x -5)
A, Graph A
B. Graph B
C. Graph C
D. graph D

Answers

A) Graph A is the answer 100%

Answer:

Graph A :)

Step-by-step explanation:

correct on a p ex.

Suppose A is n x n matrix and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In. By Theorem 7, this shows that A must be Invertible.)Theorem 7: An n x n matrix A is invertible if and only if A is row equivalent to In, and in this case, any sequence of elementary row operations that reduces A to In also transfrms In into A-1.

Answers

Answer:

Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.

If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.

Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.

What is the sum of 89,24,&17

Answers

So the sum is:
89 + 24 + 17 = 130

Hope it helps :)
The sum is easy, just add them up 89+24+17=130

Malina has to bowl four games in her league. She bowled a 149, 162, and a 152 in her first three games. She wants to have an average score of 154. What score does she need in her fourth game?a.152

b.153

c.154

d.155

Answers

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Number of games she bowl = 4

Score of her in first three games are

149, 162, 152.

Her average score = 154

Let the score in her fourth game be 'x'.

As we know the formula for "Average ":

Average=\frac{\text{Sum of all observation}}{\text{Total number of observations}}\n\n\n154=(149+162+152+x)/(4)\n\n\n154* 4=463+x\n\n\n616=463=x\n\n\n616-463=x\n\n\n153=x

Hence, Her score in fourth game is 153.

Therefore, Option 'B' is correct.
(149+162+152+X)/4=154
149+162+152+X=616
X=616-149-162-152=616-314-149=302-149=153
She needs a score of 153.

How do you convert y=-x-3 to standard form?

Answers

Answer:

x + y = - 3

Step-by-step explanation:

The equation for standard form is Ax + By = C. Since there is an invisible 1 in front of both x and y, you can easily solve the problem by subtracting -1x from both sides to get 1x + 1y = -3 or x + y = -3
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