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3 years ago

3 ( q + 4/3 ) = 2 what is q

Mathematics

2 answers:

const2013 [10]3 years ago

3 0

Answer:
-2/3

Step by step explanation:
Distribute first: 3q+4=2
2-4=-2
-2/3=-2/3

bagirrra123 [75]3 years ago

3 0

Answer: q = -2/3

Step-by-step explanation: To find q, we first need to remove the parentheses on the left side of the equation. We can do this by multiplying everything outside the parentheses by everything inside them.

3 (q + 4/3) = 2

3q + 3 · 4/3 = 2

3q + 4 = 2

Now, we need to move the 4 to the other side of the equal sign. To do this, we just need to change its sign when moving it:

3q = 2 - 4

3q = -2

All we have to do next is divide both sides of the equation by 3 so we can fully isolate the q:

3q/3 = -2/3

q = -2/3

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trapecia [35]

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the points given are (-4, 47) and (2, -16)

let's find the intercept of this equation

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now, since we know the value of the slope, we can use that in the standard equation on a straight line

the standard equation of a straight line is given as

$\begin{gathered} y=mx+c \\ m=\text{slope} \\ c=\text{intercept} \end{gathered}$

we can pick any of the points and solve for intercept

let's use (2, -16)

$\begin{gathered} x=2 \\ y=-16 \\ y=mx+c \\ m=-\frac{21}{2} \\ -16=-\frac{21}{2}(2)+c \\ -16=-21+c \\ \text{collect like terms} \\ c=-16+21 \\ c=5 \end{gathered}$

now we know the value of intercept (c) = 5 and the slope (m) = 21/2

let's use this to write equation of the straight line

$\begin{gathered} y=mx+c \\ y=-\frac{21}{2}x+5 \end{gathered}$

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1 year ago

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AleksAgata [21]

Answer:

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3 years ago

Which polynomial is equivalent to this expression if n≠-1n≠-1? 3+n−2n21+n?

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7 0

3 years ago

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An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours

Firdavs [7]

Answer

Find out the which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be 12 hours .

than the equation become in the form

d + n = 12

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An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

$n = \frac{50}{12.5}$

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate is 8 hours and at the night rate is 4hours .

Hence proved

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4 years ago

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Answer:

Is 3(b+c) equivalent expressions?

A. True

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