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Eddi Din [679]
3 years ago
11

All solutions for the inequality 5(3-x) < -2x+6

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:21-3x

Step-by-step explanation:

Distribute the 5 into 3 and x then it gives you 15+5x then bring down the 2x and 6 then combine like term which if you add the 15+6=21 and the add the -5+2 which gives you -3. Which all equals 21+(-3)

Katena32 [7]3 years ago
6 0

Answer:-17x+6

Step-by-step explanation:

-15x-2x+6

-17x+6

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Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)
PIT_PIT [208]
What we are going to do with this problem is combine all the like terms. 
so to begin, we notice that there are two numbers with a^2 involved, and two numbers with an a.

thus:
8a^{2}+(-3a^{2} is going to equal 5a^{2} because adding a negative is just like subtracting.

then we move on to (6a)-(2a) giving us 4a
5 is the only term that stays the same because there are no other similar terms.
last but not least, put the equation together!

answer: 5a^{2}+4a+5
5 0
3 years ago
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Plzzz help thank you!!
user100 [1]

Answer:

i think is 240 or it could be 64

4 0
3 years ago
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Answer and tell me how you got answer thanks.
postnew [5]

Answer:

A) {-1,2}

Step-by-step explanation:

square both side of the equation. Then:

x+2=x^2

simplify:

x^2-x-2=0

factor:

(x+1)(x-2)=0

then:

x=-1, x=2

7 0
3 years ago
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The sequence 1/6, -2/7, 3/8, -4/9 is given.Part A: Assuming the pattern continues, list the next four terms in the sequence. Sho
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a. The next four terms are 5/10, -6/11, 7/12, -8/13.

b. The explicit equation for f (n) is f(n) = (-1)ⁿ × (n+1)/(n+6) , n = 0,1,2,3...

c. If n = 53, then (-1)ⁿ = (-1)⁵³ = -1. so, f(n) is negative.

What is the explicit equation?

Without expressing the other terms of the sequence, explicit formulas are always utilized to represent any term of the sequence. The word "explicit" means something that may be found directly without having to know the other phrases in the sequence. A single formula, known as the explicit formula, can be used to describe each term in a series in an individual way.

Explicit formulas of different sequences:

Arithmetic Sequence: aₙ = a + (n - 1) d,

Geometric Sequence: aₙ = a× r^(n - 1),

Harmonic Sequence: aₙ = 1 / [a + (n - 1) d].

Here. we have

Given sequence 1/6, -2/7, 3/8, -4/9

a. The next four terms are 5/10, -6/11, 7/12, -8/13.

b. The explicit equation for f (n) is f(n) = (-1)ⁿ × (n+1)/(n+6) , n = 0,1,2,3...

c. If n = 53, then (-1)ⁿ = (-1)⁵³ = -1. so, f(n) is negative.

To learn more about explicit equations from the given link

brainly.com/question/741967

#SPJ1

8 0
1 year ago
A cube is packed with decorative pebbles. If the cube has a side length of 6 inches, and each pebble weighs on average 0.5 lb pe
Rudik [331]
The volume of the cube is 6*6*6 (in cubed)=216 (in cubed).

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so in 216 cubic inch, there are 216*0.5 lb = 108 lbs of weight  

Answer: 108 lbs
8 0
3 years ago
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