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VARVARA [1.3K]
3 years ago
13

Solve for x. −6>−30−4x−6>−30-4x enter the inequality in the first box.

Mathematics
2 answers:
Bogdan [553]3 years ago
5 0
If you would like to solve -6 > -30 - 4x for x, you can do this using the following steps:

-6 > -30 - 4x
4x > -30 + 6
4x > -24      /4
x > -24/4
x > -6

The correct result would be x > -6.
snow_tiger [21]3 years ago
5 0
-6>-30-4x
Add 30 to both sides.
24>-4x
Divide by -4 on both sides. If you divide or mutiply by a negative, the inequality sign switches.
24/-4<-4x/-4
-6<x
x>-6

{\boxed{x\ \textgreater \ -6}
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The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?
katen-ka-za [31]

Answer:

  an = (n+3)/(n+1)

Step-by-step explanation:

The sequence can be written as ...

  4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

  an = (n+3)/(n+1)

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3 years ago
A soccer team won 30% of their games and won 40 games. how many games did they play?
sweet [91]

Answer:

70

Step-by-step explanation:

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3 years ago
The sales revenue goes up from 2018 to 2019 by 5%. The sales revenue in 2018 was $19,800. What was the sales revenue in 2019?
Cerrena [4.2K]

Answer: $20,790

Step-by-step explanation:

The sales revenue increased by 5% from 2018 to 2019.

The sales revenue that was increased from in 2018 is $19,800 which means that the 2019 sales revenue is 5% more than $19,800.

To find the sales revenue in 2019, do the following:

= 19,800 + (19,800 * 5%)

= 19,800 + 990

= $20,790

8 0
3 years ago
Read 2 more answers
Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours? H
sertanlavr [38]

Answer:

1/12

Step-by-step explanation:

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5 0
2 years ago
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
asambeis [7]

Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)

Expand the right side and equate the coefficients:

<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>

Then

<em>a</em> + <em>b</em> = -<em>k</em>

<em>ab</em> = 12

The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.

Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :

<em>a</em> + (<em>a</em> - 1) = -<em>k</em>   →   2<em>a</em> = 1 - <em>k</em>   →   <em>a</em> = (1 - <em>k</em>)/2

<em>a</em> (<em>a</em> - 1) = 12   →   (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12

→   (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12

→   (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48

→   (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48

→   <em>k</em>² - 1 = 48

→   <em>k</em>² = 49

→   <em>k</em> = ± √(49) = ±7

8 0
3 years ago
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