MATHEMATICS HIGH SCHOOL

3 12 Find the nth term of each sequence. (a) -1, -3, -5, -7, -9, .

Answers

Answer 1

Answer:

Hello!

Answer:

$\Large \boxed{\sf -11}$

Step-by-step explanation:

→ We want to find the next term of this sequence:

$\sf (-1, -3, -5, -7, -9, ...)$

→ The sequence (-1, -3, -5, -7, -9, ...) is an arithmetic sequence because the difference between any two consecutive terms is constant.

→ The common difference is -2.

→ So the next term of this sequence is equal to:

$\sf -9-2 = \boxed{\sf -11}$

Conclusion:

The next term of the sequence (-1, -3, -5, -7, -9, ...) is -11.

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if 7 cups of flour are needed to make a cake for 9 people, how many cups are needed to make a cake for 15 people?

Answers

7 cups of flour ... 9 people
x cups of flour = ? ... 15 people

If you would like to know how many cups are needed to make a cake for 15 people, you can calculate this using the following steps:

7 * 15 = 9 * x /9
x = 7 * 15 / 9
x = 35/3
x = 11 2/3 cups of flour

Result: 11 2/3 cups of flour are needed to make a cake for 15 people.

What is the sum of 3/8 + 1/16

Answers

7/16 because...
3/8 - 6/16 so that plus 1/16 equals 7/16

3/8 becomes 6/16
So 6/16 + 1/16 =7/16

Factorise fully the following
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8

Answers

Factorization of an algebraic expression means to write the given expression as a product of its factors.

The factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

What is factorization?

Factorization of an algebraic expression means to write the given expression as a product of its factors.

These factors can be numbers, variables, or algebraic expressions.

We have,

A) 2x + 10

we have a common factor of 2.

= 2x + 10

= 2 ( x + 5 )

B) 5x - 15

We have a common factor of 5.

= 5x - 15

= 5 ( x - 3 )

C) 8x + 6

We have a common factor of 2.

= 8x + 6

= 2 ( 4x + 3 )

D) 12x - 8

We have a common factor of 4.

= 12x - 8

= 4 ( 3x - 2 )

Thus the factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

Learn more about factorization here:

brainly.com/question/9070174

#SPJ2

Step-by-step explanation:

A .2x+10

2(x+5)

B. 5x-15

5(x-3)

C. 8x+6

2(4x+3)

D. 12x-8

4(3x-2)

Pretty Please Help Me!!!

Answers

Answer:

Signs of the quotients:

The quotient of -125 and 5 is negative.

The quotient of -264 and -12 is positive.

The quotient of 0 and -350 is zero.

The quotient of 276 and -8 is negative.

Step-by-step explanation:

The signs of the quotients are as follows:

-125 / 5 = -25, which is negative.

-264 / -12 = 22, which is positive.

0 / -350 = 0, which is zero.

276 / -8 = -34.5, which is negative.

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Solve, log.5^4+log4^.5

Answers

First, let's expand the logarithms.
$log _(5) 4+log_(4)5 = (log4)/(log5)+(log5)/(log4)$
This because $log_(y)x$ is equivalent to $(logx)/(logy)$
From there, you need to use a calculator to find the exact numerical value.
$(log4)/(log5)+(log5)/(log4) = 2.02231716359$

HELP PLEASE, I don’t understand:(!