Answer:
<h3>
By using the distributive property the matched equivalent expressions are</h3><h3>
1) -7(-4+x)
=28-7x
</h3><h3>
2) -7(4-x)
=-28+7x
</h3><h3>
3) 7(4+x)
=28+7x
</h3><h3>
4) 7(-4-x)
=-28-7x
</h3>
Step-by-step explanation:
Given that by using the distributive property to match the given equivalent expressions.
1) Given expression is -7(-4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(-4+x)
=(-7)(-4)+(-7)(x)
=28-7x
<h3>∴ -7(-4+x)
=28-7x
</h3>
2) Given expression is -7(4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(4-x)
=(-7)(4)+(-7)(-x)
=-28+7x
<h3>∴ -7(4-x)
=-28+7x
</h3>
3) Given expression is 7(4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(4+x)
=(7)(4)+(7)(x)
=28+7x
<h3>∴ 7(4+x)
=28+7x
</h3>
4) Given expression is 7(-4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(-4-x)
=(7)(-4)+(7)(-x)
=-28-7x
<h3>∴ 7(-4-x)
=-28-7x
</h3>
Hence the matched equivalent expressions are
1) -7(-4+x)
=28-7x
2) -7(4-x)
=-28+7x
3) 7(4+x)
=28+7x
4) 7(-4-x)
=-28-7x
Ik that 9 is one of em
Hope this helps have a nice nite
Answer:
B The cost, in dollars, for each additional gigabyte used.
Step-by-step explanation:
C = 59 + 15(g − 5)
when g=5, C=59 where it is the monthly cost
when g=6, c=59 +15, interpret that each additional gigabyte used will increase the cost for 15
30, once a month, twelve months in a year times 2 you get twenty four plus the other six for the extra half year
Answer:
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1165
p = 70% = 0.7
Alpha, α = 0.02
Number of people who agreed , x = 746
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now,
Since,
Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to support the claim that the true proportion differs from 70%.
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.