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3 years ago

Substitute each variable to determine whether the inequality is true or false.

Mathematics

2 answers:

slega [8]3 years ago

6 0

Answer:

False

Step-by-step explanation:

-16<-15

algol133 years ago

3 0

Answer:

It is false: -16>-15 is not true

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8 1/4 divided by 2 3/4

Alex787 [66]

Answer:

The answer is 3

Have a great day :D

8 0

3 years ago

Factor completely 512x^3+2197y^3

Gnom [1K]

Rewrite 512x^3 as (8x)^3

(8x)^3 + 2197y^3

Rewrite 2197y^3 as (13y)^3

(8x)^3 + (13y)^3

Since both terms are perfect cubes, factor using the sum of cubes formula.

a^3 + b^3 = (a + b)(a^2 - ab + b^2) where a = 8x and b = 13y.

(8x + 13y)((8x)^2 - (8x)(13y) + (13y)^2)

Simplify

(8x + 13y)(64x^2 - 104xy + 169y^2)

7 0

3 years ago

PLEASE HELP!! WILL GIVE 50 points PLUS BRAINLEST!!!

SCORPION-xisa [38]

Answer:

Y=2.2x+2.50

Step-by-step explanation:

The y-intercept in this situation is the 2.50 pick up fee.

7 0

3 years ago

Read 2 more answers

The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is <br>.

Diano4ka-milaya [45]

Answer:

x = 11

Step-by-step explanation:

2(x - 5) = 12 ← divide both sides by 2

x - 5 = 6 ( add 5 to both sides )

x = 11

4 0

2 years ago

Read 2 more answers

The sum of the first 10 terms of an arithmetic sequence is 235 and the

Degger [83]

Answer:

$\bold{a_1 = -42.65}\\\\\bold{d=14.7}$

Step-by-step explanation:

The sum of the first 10 terms of an arithmetic sequence is:

$S_{10}=a_1+a_2+...+a_{10}=\dfrac{a_1+a_{10}}{2}\cdot10=\dfrac{2a_1+(10-1)d}{2}\cdot10$

$\dfrac{2a_1+(10-1)d}{2}\cdot10=235\\\\(2a_1+9d)\cdot5=235\\\\2a_2+9d=47$

the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀

And the sum of the first 20 terms of an arithmetic sequence is:

$S_{20}=a_1+a_2+...+a_{10}+a_{11}+...+a_{20}=\dfrac{2a_1+(20-1)d}{2}\cdot10$

so the sum of the second 10 terms is:

$a_{11}+a_{12}+...+a_{20}=S_{20}-S_{10}$

Therefore we have:

$\dfrac{2a_1+(20-1)d}{2}\cdot10-\dfrac{2a_1+(10-1)d}{2}\cdot10=735\\\\(2a_1+19d)\cdot5-(2a_1+9d)\cdot5=735\\\\2a_1+19d-(2a_1+9d)=147\\\\10d=147\\\\d=14.7$

and:

$2a_1+9\cdot14.7=47\\\\2a_1+132.3=47\\\\2a_1=-85.3\\\\a_1=-42,65$

3 0

3 years ago