All categories

3 years ago

Which statement is true?

Mathematics

2 answers:

Masja [62]3 years ago

8 0

Answer:

b or b

Step-by-step explanation:

Crank3 years ago

4 0

Answer:

Step-by-step explanation:

-5 + -5 = -10

You might be interested in

Write each of the following products in standard polynomial form. (a) (x+3)(x-2)(x-8) (b) (x+2)(x-2)(x+3)(x-3)

Grace [21]

Each of the following products

6 0

4 years ago

Hi, can you please do these? thanks for helping!

arlik [135]

Answer:

i will answer you other if u rate me brainliest

4 0

3 years ago

Read 2 more answers

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:

kondaur [170]

$\text{Proof by induction:}$
$\text{Test that the statement holds or n = 1}$

$LHS = (3 - 2)^{2} = 1$
$RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS$
$\text{Thus, the statement holds for the base case.}$

$\text{Assume the statement holds for some arbitrary term, n= k}$
$1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}$

$\text{Prove it is true for n = k + 1}$
$RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$

$LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}$
$= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}$
$= \frac{k(6k^{2} + 15k + 11) + 2}{}$
$= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$
$= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}$
$= RHS$

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.

3 0

4 years ago

Need NOW PLEASE.....

____ [38]

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)

7 0

2 years ago

Which best explains why these figures are similar or not similar?

Komok [63]

Answer:

the answer was d

Step-by-step explanation:

3 0

3 years ago