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Maksim231197 [3]
3 years ago
15

-(4x+6)<2(5x+9)+2x write the solution for interval notation

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer:

(-1.5,\infty)

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

x>-1.5

So in an interval notation this is (-1.5,\infty).

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PLEASE HELP ME! Please do not comment nonsense, and actually comment the answer and the solution.
choli [55]
<h3>Answer: Choice C</h3>

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

Explanation:

For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4

Check out the attached image below for the sorted table I'm referring to

We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one

4 times 1/2 = 2

2 times 1/2 = 1

1 times 1/2 = 1/2

1/2 times 1/2 = 1/4

and so on. Effectively we can say the decay rate is 50%

5 0
3 years ago
Please help PLEASE HELP
alexdok [17]

Answer:

15. 17.5 ft

16. XZY ~ RPQ only

Step-by-step explanation:

15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.

__

16. Triangles are similar when they have all the same angles. In the given triangles, you have ...

angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)

angle Z = angle P = 64°

angle Y = angle Q = 84°

The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...

triangle XZY ~ triangle RPQ

5 0
3 years ago
*SCIENCE QUESTION* The Prime Meridian runs through:
crimeas [40]
The answer is C. Greenwich,England.
6 0
3 years ago
Which one is bigger 13yards or 282 inches​
olganol [36]

Answer:

13yards

Step-by-step explanation:

4 0
3 years ago
1.Graph the functions on the same coordinate plane.
mel-nik [20]
1. solutions are intersection points
they intersect at x=4 and x=1 or the points (4,0) and (1,0)
select 4 and 1



2.
sub -x for x
if you get the same function, it is even
if you get the exact negative of the function, it is odd
if neither, then neither
basically
f(-x)=f(x) is even
f(-x)=-f(x) is odd
and neither is neighter

so
f(-x)=-2(-x)²+3(-x)
f(-x)=-2(x)²-3x
f(-x)=-2x²-3x
that is not the same function nor is it the exact oposite
neither even nor odd




3.
domain is the time you can use
obvioulsy start at time=0
and stop when it hits the ground because it shouldn't go underground
so domain is all real numbers from 0 to 5 including 0 and 5
that is [0,5]



4. (the (f+g)(x) one)
(f+g)(x)=f(x)+g(x)
so that is just
x²-36+x³+2x²-10=
x³+3x²-46


5. just mulitply them
x⁷+9x⁴-9x³-81

6. minus them
(3x⁵+6x²-5)-(2x⁴+7x²-x+16)
3x⁵+6x²-5-2x⁴-7x²+x-16
3x⁵-2x⁴-x²+x-21
4 0
3 years ago
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