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Natalka [10]
3 years ago
15

Solve this linear equation 2(x+6)<3x+8

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

x > 4

Step-by-step explanation:

Given

2(x + 6) < 3x + 8 ← distribute left side

2x + 12 < 3x + 8 ( subtract 3x from both sides )

- x + 12 < 8 ( subtract 12 from both sides )

- x < - 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x > 4

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A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by
Likurg_2 [28]

Answer:

B. f(x) = 3x + 26;26≤ y ≤ 35

Step-by-step explanation:

This would be a linear equation in the form

y= mx+b

where b is the initial value (or 26 clients)

m is the slope, or the amount they want to increase by each week

y = 3x+26

Let x =0

y = 26 or what we start with

Let x =3, or be week 4 (we started with x= 0)

y = 3*3 +26

y =9+26

y= 35

3 0
3 years ago
Read 2 more answers
How many eight-digit serial numbers contain three of one digit, two of another digit, two of yet another digit, and one of still
Harlamova29_29 [7]

It is easier to understand the problem if you create a number based on the criteria and then perform the computations. I am going to choose: 111 22 33 4

There are 10 options for the first "1" and only 1 option for the other two 1's

There are 9 remaining options for the first "2" and only 1 option for the other 2

There are 8 remaining options for the first "3" and only 1 option for the other 3

There are 7 remaining options for the "4"

10 x 1 x 1    x      9 x 1     x      8 x 1      x      7

10 x 9 x 8 x 7 = 5,040

Answer: 5,040

6 0
3 years ago
(a)It takes 29 pounds of seed to completely plant a 4 -acre field. How many acres can be planted per pound of seed?
asambeis [7]
(a) You can plant 7 1/4 acres per pound of seed
(b) Isabel takes 7 minutes to run a mile
5 0
3 years ago
Between x = 2 and x = 3, which function has the smallest average rate of change?
hoa [83]
The function with the smallest rate of change is B.
Rate of change is like slope, the vertical change over the horizontal change.
The horizontal change for each of these choices will be ONE since 3-2 = 1.

Plug 2 in for x to find y, then plug 3 in for x and find y. Subtract the y values and you will get the rate of change as follows:
A) 30
B) 7
C) 192
D) 12
If you need more explaining just let me know.
7 0
3 years ago
Read 2 more answers
NEED HELP ASAP!
ziro4ka [17]
We see it is the y terms squared so it opens left or right

in form
(y-k)^2=4(p)(x-h)
vertex is (h,k)
and p is distance from focus to vertex, also distance from vertex to directix
if p>0, then it opens to the right and dirextix is to the left of vertex
if p<0, then it opens to the left and directix is tothe right of vertex


so
(y-1)^2=4(4)(x-(-3))
vertex is (-3,1)
4>0 so dirextix is to left of vertex
left is in x direction
-3-4=-7
directix is x=-7
4 0
3 years ago
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