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Komok [63]
3 years ago
13

1. Solve -21 < -3x + 6 < 12

Mathematics
1 answer:
guapka [62]3 years ago
5 0

Answer:

-2<x<9

Step-by-step explanation:

−21<−3x+6<12-21<-3x+6<12

Move all terms not containing xx from the center section of the inequality.

Tap for more steps...

−27<−3x<6-27<-3x<6

Divide each term in the inequality by −3-3.

−27−3>−3x−3>6−3-27-3>-3x-3>6-3

Divide −27-27 by −3-3.

9>−3x−3>6−39>-3x-3>6-3

Cancel the common factor of −3-3.

Tap for more steps...

9>x>6−39>x>6-3

Divide 66 by −3-3.

9>x>−29>x>-2

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

−2<x<9-2<x<9

The result can be shown in multiple forms.

Inequality Form:

−2<x<9-2<x<9

Interval Notation:

(−2,9)

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What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically
Greeley [361]

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

3x^2+16x+5

\frac{3x^2}{3}+16x+5(3)

x^2+16x+15

(x+1)(x+15)

(3*x+1)(x+\frac{15}{3})

(3x+1)(x+5)

5 0
3 years ago
Can the polynomial in the numerator of the expression x^2-5x+7/x-9 be factored to derive (x − 9) as a factor
BabaBlast [244]

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______<u>9</u>____

     1

Now add down the column to get:

9 |  1   -5    7

_____<u>9</u>____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

6 0
3 years ago
Find the value of x:2x+3=9​
larisa [96]

Answer:

x=3

Step-by-step explanation:

2x+3=9 (subtract 3 from both sides)

2x=6 (divide both sides by 2)

x=3

7 0
3 years ago
Read 2 more answers
What does write 7 mean?
AnnyKZ [126]

Answer:

How much does it take for 3/4 to go to 7? Lets call the number that does that, X. Now, add X to 2.35. What number do you get? Write that down and add the number.

Step-by-step explanation:

Does this make sense?

4 0
3 years ago
Evaluate 18 - 5x when x = -7​
sukhopar [10]

Answer:

i thinks its -53

Step-by-step explanation:

18-5x

5x-7= -35

-35-18

-53

3 0
3 years ago
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