All categories

3 years ago

What is y=7x-10 y=-3

Mathematics

2 answers:

grin007 [14]3 years ago

8 0

-3=7x -10
-7x=-10+3
-7x=-7
x=1

pychu [463]3 years ago

6 0

For a solution to exist for two lines, y=y so we can say:

-3=7x-10 add 10 to both sides

7=7x divide both sides by 7

x=1

So the solution is the point (1, -3)

You might be interested in

If the circumference of each tire on a vehicle is approximately 88 in., how many miles will the vehicle travel when the tires m

sineoko [7]

It will travel about 36 miles

8 0

3 years ago

Barry runs at an average rate of 8 mi/hr. He walks at an average rate of 3 mi/hr. If x represents the time spent running and y r

Viktor [21]

<h3>Answer: 8x+3y = 16</h3>

============================

Work Shown:

x = number of hours spent running

8x = distance he runs (since he runs at 8 mph)

y = number of hours spent walking

3y = distance he walks (he walks at a speed of 3 mph)

8x+3y = total distance = 16 miles

8x+3y = 16

This equation is in standard form Ax+By = C

--------

Extra Info

Solving for y will get

8x+3y = 16

3y = -8x+16

y = (-8x+16)/3

y = (-8x)/3+16/3

y = (-8/3)x+16/3

This is in slope intercept form y = mx+b

m = -8/3 is the slope

b = 16/3 is the y intercept

4 0

3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

4 years ago

Read 2 more answers

WHy does the eart roteate

stiks02 [169]

Since gravity pulls inward from all directions equally, the amorphous clump, if massive enough, will eventually become a round planet. Inertia then keeps that planet spinning on its axis unless something occurs to disturb it. "The Earth keeps spinning because it was born spinning,"

3 0

3 years ago

Please, my whole grade depends on this question!!!

Effectus [21]

Answer:

Y = 1/2 times -3 ( 1 x 5 )

Step-by-step explanation:

6 0

3 years ago