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svetlana [45]
3 years ago
6

Solve each inequality x+1>-5(7-2x)

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

x+1 > -5(7-2x)\ \ \ \ |\text{use distributive property}\\\\x+1 > (-5)(7)+(-5)(-2x)\\\\x+1 > -35+10x\ \ \ \ |-1\\\\x > -36+10x\ \ \ \ |-10x\\\\-9x > -36\ \ \ \ |\text{change the signs}\\\\9x < 36\ \ \ \ |:9\\\\\boxed{x < 9}\to x\in(-\infty,\ 9)

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Which of the following demonstrates the Distributive Property? (4 points) 3(4a + 2) = 12a + 6 3(4a + 2) = 12a + 2 3(4a + 2) = 4a
Anastasy [175]
1. 12a+6=12a+6
2. 12a+6=12a+2
3. 12a+6=4a+6
4. 12a+6=7a+5
6 0
3 years ago
HELP HELP HELP
mojhsa [17]

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

8 0
3 years ago
Read 2 more answers
Please help, I need this quickly. Fairly easy, help pleasee
ahrayia [7]
-4x-3y-9=0
||      m1 = - ( - 4)/-3= - 4/3
_|_   m2  = -1/m1= 3/4

2x+4y-3=0
 ||     m1= -2/4= -1/2
_|_   m2= 2

12x-y-17=0
 ||     m1= -12/-1=12
  _|_ m2 = -1/12

x-y=0
||    m1= -1/-1=1
_|_ m2= -1

8x - 3y - 2=0
||     m1= -8/-3= 8/3
 _|_ m2 = -3/8

-2x + y - 5=0
||    m1= -(-2)/1=2
_|_ m2= -1/2



3 0
3 years ago
Write a linear equation in standard form that crosses (4, -3) and (-2, 9): 
kirill115 [55]
Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4)  => y=-2×+5
D is the line asked
Slope: -1/3 
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
8 0
3 years ago
Suppose that the functions g and h are defined for all real numbers r as follows. gx) -4x +5 h (x) = 6x write the expressions fo
aleksandr82 [10.1K]

Answer: Our required values would be -10x+5, 2x+5 and -25.

Step-by-step explanation:

Since we have given that

g(x) = -4x+5

and

h(x) = 6x

We need to find  (g-h)(x) and (g+h)(x).

So, (g-h)(x) is given by

g(x)-h(x)\\\\=-4x+5-6x\\\\=-10x+5

and (g+h)(x) is given by

g(x)+h(x)\\\\=-4x+5+6x\\\\=2x+5

and (g-h)(3) is given by

-10(3)+5\\\\=-30+5\\\\=-25

Hence, our required values would be -10x+5, 2x+5 and -25.

5 0
3 years ago
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