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notsponge [240]
3 years ago
12

What values of x makes this equation true? (2x+6)^2-14=30

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
(2x+6)^2-14=30 \\ \\ (2(x + 3))^2 - 14 = 30 \\ \\ 2^2 (x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 = 30 + 14 \\ \\ 4(x + 3)^2 = 44 \\ \\ (x + 3)^2 =  \frac{44}{4} \\ \\ (x + 3)^2 = 11  \\ \\ x + 3 = \pm  \sqrt{11} \\ \\ x =  \sqrt{11} - 3, -  \sqrt{11} - 3 \\ \\

The final result is: x = √11 - 3, -√11 - 3.
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The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the
Mrrafil [7]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7
8 0
3 years ago
3(2x) + 3(-1) = -21 <br><br>6x - 3 = -21<br> What property is being used ?
kaheart [24]
Distributive property, since 3(2x) you distribute and get 6x
4 0
3 years ago
Can y’all plz help me ignore the writing part on the side of it plz show me the steps or tell me
Fiesta28 [93]
Hello.

The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.

The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.

Your answer is: "C.)"

I hope this helps!
6 0
3 years ago
A survey was conducted to determine the amount of time, on average, during a given week SCAD students spend outside of class on
fiasKO [112]

Answer:

Standard Deviation = 5.928

Step-by-step explanation:

a) Data:

Days  Hours spent  (Mean - Hour)²

1              5                61.356

2             7                34.024

3            11                  3.360

4           14                   1.362

5           18               26.698

6          22               84.034

6 days 77 hours,    210.834

mean

77/6 = 12.833    and 210.83/6 =  35.139

Therefore, the square root of 35.139 = 5.928

b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.

5 0
3 years ago
10 + 2-x\3 = 7<br><br><br> \ = divided by<br><br> TIA!
Lemur [1.5K]
Your answer to this problem is 15


10 + 2 - 15 / 3 = 7


Hope it helped :)

8 0
3 years ago
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