All categories

2 years ago

Given the system of equations, what is the x-coordinate of the solution?

2 answers:

6 0

Answer: Choice C) -11

-----------------------------------

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x.
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11

hodyreva [135]2 years ago

3 0

Answer:

-11 ;)

Step-by-step explanation:

You might be interested in

If you travel 200 miles in 300 minutes. How fast did you travel in MPH...mile per hour?

Alekssandra [29.7K]

Answer:

40 miles per hour

Step-by-step explanation:

Change 300 minutes to hours. There are 60 minutes to hours

300 minutes * 1 hour/ 60 minutes = 5 hours

Now take the miles and divide by hours

200 miles / 5 hours = 40 miles per hour

5 0

3 years ago

Read 2 more answers

Complete the point-slope equation of the line through (6,4)and (7,2)

kotykmax [81]

The slope is the change in y over the change in x, so it's (4-2)/(6-7)=2/-1=-2. Point slope form is y – y1 = m(x – x1), so we can plug in a point (6,4) to get
y-6=-2(x-4)

3 0

3 years ago

Read 2 more answers

In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 7 day peri

Andrew [12]

Answer:

$MOE=\pm \ 1.41$

Step-by-step explanation:

-Given that $\sigma=1.91, n=7$

-We determine the z-value corresponding to the 95% confidence level:

$z_{\alpha/2}=z_{0.025}=1.96$

-The margin of error is the degree of error from the real value and is calculated as follows:

$MOE=\pm z_{\alpha/2} (\frac{\sigma}{\sqrt{n}})\\\\=\pm z_{0.025}\times\frac{\sigma}{\sqrt{n}}\\\\=\pm 1.96\times \frac{1.91}{\sqrt{7}}\\\\=\pm 1.41$

Hence, the margin of error is $\pm 1.41$

7 0

3 years ago

WHAT EQUALS 19 FOR MATH

boyakko [2]

In the whole wide world of math, there is only one number that equals 19.
That number is . . . . . . . . . . wait for it . . . . . . . . . . 19 .

6 0

3 years ago

Read 2 more answers

Can someone please help?

kifflom [539]

Standard form means, move the variables to the left-hand-side and leave the constant all by herself on the right-hand-side, usually sorting the variables, so"x" goes first.

now, there's a denominator, we can do away with it, by simply multiplying both sides by the denominator, so let's do so,

$\bf y=-\cfrac{2}{3}x+7\implies \boxed{3}\cdot y=\boxed{3}\cdot \left( -\cfrac{2}{3}x+7 \right)\implies 3y=-2x+21
\\\\\\
\stackrel{standard~form}{2x+3y=21}$

5 0

3 years ago