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3 years ago

Solve the inequality -5a-12<-18

Mathematics

2 answers:

horrorfan [7]3 years ago

4 0

- 5a - 12 < -18

Add 12 to each side:

-5a < -6

Divide each side by 5 :

-a < -1.2

a > 1.2 

zlopas [31]3 years ago

4 0

$-5a-12 < -18\ \ \ /+12\\\\-5a < -6\ \ \ \ /:(-5) < 0\ \then\ change\ " < " to\ " > "\\\\a > 1.2\\\\a\in(1.2;\ \infty)$

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Brandon and Jerry like to play video games. Brandon has vvv video games, and Jerry has 292929 video games. Together they have a

lianna [129]

Answer:

444,444

Step-by-step explanation:

total amount=737373

jerry=292929

Brandon=unknown

To figure the amount of video games Brandon has, we have to subtract the amount of both he and his friend altogether amount with Jerry's current amount of video games.

737,373-292,929=444,444

So, by subtracting the two, the answer would be 444,444.

Brandons total amount of video games:444,444

5 0

3 years ago

What is the slope of a line with the coordinates 0,9 and -3,4

Semmy [17]

Answer:

The answer is -5/3

Step-by-step explanation:

<h3>Given;</h3>

x₁ = 0 and x₂ = (-3)
y₁ = 9 and y₂ = 4

Slope of a line

m = y₂ – y₁ ÷ x₂ – x₁

Now,

m = y₂ – y₁ ÷ x₂ – x₁

m = 4 – 9 ÷ 0 – (-3)

m = -5 ÷ 3

m = -5/3

Thus, The slope is -5/3

-TheUnknownScientist 72

6 0

2 years ago

Read 2 more answers

Select all the number groups that contain the number 1/2

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Rational and a real number because for one, all numbers are real, and a rational number is a number that can be a fraction

7 0

2 years ago

Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In

Svet_ta [14]

Answer:

$l_n=3^n-1$

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$l_n=3^n-1$

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, $l_1=2=3^1-1$

Inductive hypothesis:

Given a natural n,

$l_n=3^n-1$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

Move the first n stones from A to C ( $l_n$ moves).
Move the biggest stone from A to B (1 move).
Move the first n stones from C to A ( $l_n$ moves).
Move the biggest stone from B to C (1 move).
Move the first n stones from A to C ( $l_n$ moves).

Then,

$l_{n+1}=3l_n+2$ .

Therefore, using the inductive hypothesis,

$l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$l_n=3^n-1$

8 0

3 years ago

Factor completely: x2 + 6x + 8

Bumek [7]

You can factor x^2+6x+8 using the AC method.
Which would be: (x+2)(x+4)
Hope I helped.

8 0

3 years ago