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Strike441 [17]
3 years ago
9

Two lines, C and D, are represented by the following equations: Line C: y = x + 5 Line D: y = −2x − 1 Which of the following opt

ions shows the solution to the system of equations and explains why? (4 points) Group of answer choices (−2, 3), because one of the lines passes through this point (−2, 3), because the point does not lie on any axis (−2, 3), because both lines pass through this point (−2, 3), because the point lies between the two axes
Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

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Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
out of

\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
\frac{3}{4}
out of the right hand side to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



This further gives us,


\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


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Answer:

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Step-by-step explanation:

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The cost for a hot dog and soft drink at a ballpark is $5.00. If the soft drink costs $2.50 less than the hot dog, find the cost
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Answer:

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Soft drink $1.25

Step-by-step explanation:

3.75 + 1.25 = 5.00

Difference

3.75 - 1.25 = 2.50

Hope this helps

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1 year ago
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