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Over [174]
4 years ago
10

What solution of the inequality -1<4+5x<9

Mathematics
1 answer:
Harman [31]4 years ago
4 0
-1\ \textless \ 4+5x\ \textless \ 9 \\ \\ -1 - 4 \ \textless \  5x \ \textless \  9 - 4 \ / \ subtract \ 4 \ from \ equation \\ \\ -5 \ \textless \  5x \ \textless \  5 \ / \ simplify \\ \\ - \frac{5}{5} \ \textless \  x \ \textless \  1 \ / \ divide \ equation \ by \ 5 \\ \\ -1 \ \textless \  x \ \textless \  1 \ / \ simplify \\ \\

Answer: -1 < x < 1
You might be interested in
How to do proportional relationships on the coordinate plane
Naddika [18.5K]

Answer: A proportional relationship needs to pass through the origin and have a linear (straight) slope. Let me know if you need more specifics.

3 0
4 years ago
1. The sum of the three consecutive members of the geometric sequence is 13. The proportion of the third and the first member is
aev [14]
If a = first term and r = common ratio we have

a + ar + ar^2 = 13   and ar^2 / a = r^2 = 9

so r = 3

and a + 3a + 9a = 13 
so a = 1

so they are  1,3 and 9 

2.
in geometric series we have

4 , 4r ,4r^2 , 60

Arithmetic;
 4,  4r , 4r + d ,  4r + 2d

so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30 
so d = 30 - 2r 
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0

2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r  = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24

and the numbers are 4*3 =  12 , 4*3^2 = 36

first 3  are  4 , 12 and 36  ( in geometric)
and last 3 are 12, 36 and 60  ( in arithmetic)

The 2 numbers we ause are 12 and 36.





7 0
4 years ago
Abigail says that all the numbers ending 1 are prime. Is Abigail correct or incorrect
patriot [66]
Incorrect.
Go through the numbers and you'll find un-prime numbers ending in 1:
21, 81, 121,...
6 0
4 years ago
Read 2 more answers
483.6 is what percent of 180
liraira [26]

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

4 0
3 years ago
There are values of t so that sin t=.35 and cos t=.6
NISA [10]

Recall the fundamental rule of trig:

\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}

So, there exists an angle t such that

(0.6,0.35)=(\sin(t),\cos(t))

if and only if

\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1

Working out the numbers, we get

0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1

So, there doesn't exist a number t such that

(0.6,0.35)=(\sin(t),\cos(t))

7 0
3 years ago
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