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kifflom [539]
3 years ago
8

What is the justification for each step in solving the inequality? −7(3+8x)+5x≤1−62x

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0

Answer:

Step-by-step explanation:

dangina [55]3 years ago
5 0
Distribute -7 because of math
-21-56x+5x≤1-62x
add like terms because you aint chaingin nothing
-21-51x≤1-62x
add 62x to both sides (addition property of equality, where a=a and b=b, a+b=a+b) and also (addative inverse, a+(-a)=0) that turns the -62x to 0
-21+11x≤1
add 21 to both sides (additiona proerty of equality and addativeinverse)
11x≤22
divide both sides by 11 (division property of equality, if a=a and b=b, then a/b=a/b)
x≤2
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What is the solution to the equation 2x + 4 = 24? <br> x = 1 <br> x = 3 <br> x = 6 <br> x = 10
horsena [70]

Answer:

    x = 14

Step-by-step explanation:

1.1     Pull out like factors :

  2x - 20  =   2 • (x - 10)  

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10  

One solution was found :

                  x = 10

4 0
3 years ago
Read 2 more answers
Simplify.<br> -4(3 – 1) +2
vladimir2022 [97]

Answer:

-4(3-1)+2

-4x2+2

-8+2= -6

since there is only one - and one + the answer will be negative

4 0
3 years ago
X^2+2x+5=0 solve for X
Oksana_A [137]
Is it no real solutions?
7 0
3 years ago
The​ ​cost​ ​to​ ​manufacture​ ​​x​​ ​number​ ​of​ ​chairs​ ​can​ ​be​ ​represented​ ​by​ ​the​ ​function​ ​C(x)=36x .​ ​In​ ​th
bogdanovich [222]
<span>C(x)=2268 means that the cost of </span><span>​manufacture​ 63 chairs is 2268$.

2268/36 = 63 chairs
</span>
4 0
3 years ago
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
amm1812

Answer:

Given:

Sham: n= 20,     x=0.44,   s=1.24,

Magnet:n= 20,  x =0.49,   s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

\frac{s1^2}{s2^2}

\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037

Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom = n - 1 = 20 - 1 = 19

Magnet: degrees of freedom = n - 1 = 20 - 1 = 19

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]

f[0.025, 19, 19], f[0.975, 19, 19]

(2.526, 0.3958)

The rejection region:

Reject H0, if  F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

3 0
2 years ago
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