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seropon [69]
4 years ago
14

Solve the following inequalities.

Mathematics
1 answer:
Airida [17]4 years ago
6 0

1

-4x-2

Add 2 to both sides:

-4x

Divide both sides by -4 (this is negative, so we have to swap the inequality sign):

x>\dfrac{5}{2}

2

2(y-4)\leq 10-y

Expand the left hand side:

2y-8\leq 10-y

Add 8 and y to both sides:

3y\leq 18

Divide both sides by 3

y \leq 6

3-4

Nothing different from 1 and 2, apply the same logic (expand sides, gather constant and non-constant terms together, solve for the variable) and you will solve them

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The expression 36 ÷ 6 • 2 + 1 is equal to _____.<br><br> 2<br> 4<br> 13<br> 18
NeTakaya

Answer:

Step-by-step explanation:

36/6 · 2 + 1

6 ·2 + 1

12 + 1 = 13

answer is 13

7 0
3 years ago
Explain why 323.202 is least<br> than 323.21 even though 202 is Grater than 21
matrenka [14]
It is less than 324.21, because as you can see, all the numbers are equal until you get to the 0 & 1, and 1 is greater than 0
7 0
3 years ago
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If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0
3 years ago
On Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge. For 500 minutes she pays $35 total, and
Strike441 [17]

Answer:

$25

Step-by-step explanation:

500 mins = $35 (fixed + per minute charge)

1500 mins = $55 (fixed + per minute charge)

If we let per minute charge be "m"

and

let fixed charge be "f"

we can write 2 equations as:

35 = 500m + f

and

55 = 1500m + f

Now,

We re-write both equations in terms of f and equate both expressions:

f = 35 - 500m

and

f = 55 - 1500m

Equating:

35 - 500m = 55 - 1500m

-500m + 1500m = 55 - 35

1000m = 20

m = 20/1000

m = 0.02

Now we find f, what we are looking for:

f = 35 - 500m

f = 35 - 500(0.02)

f = 25

So, the fixed charge is $25

3 0
3 years ago
Help with this question
Ede4ka [16]

Answer:

Question 7.

2n^3

Question 8.

2(h+3)(2h-1)

Question 9.

(2x+3)(3x-1)

Step-by-step explanation:

i hope this helps :)

6 0
3 years ago
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