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andrew-mc [135]
3 years ago
14

I don’t understand algebra. Help me

Mathematics
1 answer:
Triss [41]3 years ago
6 0
No solution there are no values of x
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If (8z − 9)(8z + 9) = az2 − b, what is the value of a?
ikadub [295]
<h3>Answer:  a = 64</h3>

Explanation:

We use the difference of squares rule to say

(m-n)(m+n) = m^2 - n^2

So in this particular case,

(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81

We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64

Side note: This means b = 81

8 0
3 years ago
Which expression are equivalent to whole -3 times 4/-5
Bumek [7]

Answer:

12/5

Step-by-step explanation:

-3*4/-5=-12/-5=12/5

3 0
4 years ago
A statistic instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags.They weighed 9.3
____ [38]

Answer:

95% confident the population mean is between (9.1,9.9)

Step-by-step explanation:

We are given the following data set:

9.3, 9.7, 9.2, 9.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{37.9}{4} = 9.475

Sum of squares of differences = 0.2075

S.D = \sqrt{\frac{0.2075}{3}} = 0.262

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 3 and}~\alpha_{0.05} = \pm 3.182  

9.475 \pm 3.182(\frac{0.262}{\sqrt{4}} ) = 9.475 \pm 0.416842 =(9.058158,9.891842) \approx (9.1,9.9)  

3 0
3 years ago
marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins fo
Luba_88 [7]
Let
x-------------> pounds of granola-----------> <span>$3 per pound
</span>y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per <span>pounds of the trail mix
</span>
we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=<span>0.75 pounds of raisins
z=3*3+2*0.75=</span>$10.5 of <span>trail mix</span>
3 0
3 years ago
Read 2 more answers
{(3,-5),(1,2),(-1,-4),(-1,2)} <br> The range of the following relation R?
Nutka1998 [239]

\bf \{(3,\stackrel{\downarrow }{-5}),(1,\stackrel{\downarrow }{2}),(-1,\stackrel{\downarrow }{-4}),(-1,\stackrel{\downarrow }{2})\} \qquad \qquad \stackrel{\textit{the range is always the y-coordinates}}{\{-5,2,-4\}}

4 0
3 years ago
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