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Svetllana [295]
3 years ago
7

Give 3 solutions on 14x+7y=28 that will satisfy the consistent systems

Mathematics
2 answers:
Ronch [10]3 years ago
5 0
X=1, y=2
x=0, y= 4
x=2, y=0
Sav [38]3 years ago
4 0

Answer:

Three solutions =

x=2, y=0

x= 0, y=4

x=1, y=2

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Hey if you see this i really need your help its an exam thanks
professor190 [17]

Answer:

I think it is Letter B

Because I add the two

L-2, +N 12=10

7 0
2 years ago
3^x= 3*2^x solve this equation​
kompoz [17]

In the equation

3^x = 3\cdot 2^x

divide both sides by 2^x to get

\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3

Take the base-3/2 logarithm of both sides:

\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}

Alternatively, you can divide both sides by 3^x:

\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13

Then take the base-2/3 logarith of both sides to get

\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}

(Both answers are equivalent)

8 0
2 years ago
The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation
motikmotik

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill

6 0
3 years ago
The least common multiple of 4 and 7
shusha [124]
The answer is 28. My answer is correct. 7, 14& 21 can't be the LCM son the answer should be 28.
5 0
3 years ago
I WILL LITERALLY GIVE BRAINLIEST IF YOU ANSWER CORRECTLY
Yakvenalex [24]

Temperature can relate to how cold the ice cream cone is.

The ice cream cone(s) can relate to all the buildings in the city.

Step-by-step explanation:

4 0
3 years ago
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