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3 years ago

1/2x-3=3/2x+4 solve the following and explain each step

1 answer:

6 0

Bevin by multiplying both sides of the equation by 2, so you get x-6=3x+8. Next, move variable to the left side and change its sign, so you get x-3x-6=8. Then, collect the like terms, so you get -2x=14. Lastly, divide both sides by -2 to isolate the variable (x). The answer is x=-7

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the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa

amm1812

Answer:

$y(x)=-0.028x+14.6$

Step-by-step explanation:

Birth Rate in 1994 = 14.6 births per thousand population.

Birth Rate in 2004 = 14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

x=years after 1994
y=the birth rate
m=Yearly Birth Rate

First, we determine the birth rate per year

$m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028$

Therefore, a linear equation that relates y in terms of x is of the form:

$y(x)=-0.028x+c$

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

$y(x)=-0.028x+14.6$

4 0

3 years ago

Please help me ASAP!!

Sati [7]

The answer is D, i.e. the system was solved via elimination

If you multiply the first equation by 5, the system becomes

$\left \{ {{-5x-10y=35} \atop {5x-6y=-3}} \right.$

If you sum the two equations, you get

$-16y = 32$

And so if you substitute the second equation of system A with this new equation, you'll get system B.

3 0

2 years ago

Find an equation for the line below

tia_tia [17]

Y=0.5x-0.5
( u find the slope using rise/run then after finding the slope u use the equation and a point on the graph to find the y-intercept

5 0

2 years ago

How do I work this out oof

kakasveta [241]

I am so sorry for giving you the wrong answer at first.

Here's the processs

1x=-0.5555

Move the decimal point in the repeating decimal one space forward

10x=-5.55555

Then subtract

10x=5.5555

x=-0.5555= 9x=-5

Divide both sides by 9

9x=-5

9x/9=-5/9

-5/9 is your final answer!

Hope this helps!

7 0

2 years ago

Read 2 more answers

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$