Answer:
-1
Step-by-step explanation:
Plug in given values
-4x + 5y + 6z
-4(-2) + 5(3) + 6(-4)
8 + 15 -24
23-24
-1
Answer:
Parallel
Step-by-step explanation:
In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.
2x +8y= 56
Let's rewrite this equation into the slope-intercept form.
8y= -2x +56
Dividing both sides by 8:
Slope= -¼
y= -¼x -5
Slope= -¼
Since both lines have the same slope, they are parallel to each other.
Answer:
$90
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year,
then, solving our equation
I = 2000 × 0.09 × 0.5 = 90
I = $ 90.00
The simple interest accumulated
on a principal of $ 2,000.00
at a rate of 9% per year
for 0.5 years is $ 90.00.
Answer:
C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:
Solve the following system using substitution:
{y + 2.3 = 0.45 x
{-2 y = -3.6
In the second equation, look to solve for y:
{y + 2.3 = 0.45 x
{-2 y = -3.6
-3.6 = -18/5:
-2 y = -18/5
Divide both sides by -2:
{y + 2.3 = 0.45 x
{y = 9/5
Substitute y = 9/5 into the first equation:
{4.1 = 0.45 x
{y = 9/5
In the first equation, look to solve for x:
{4.1 = 0.45 x
{y = 9/5
4.1 = 41/10 and 0.45 x = (9 x)/20:
41/10 = (9 x)/20
41/10 = (9 x)/20 is equivalent to (9 x)/20 = 41/10:
{(9 x)/20 = 41/10
{y = 9/5
Multiply both sides by 20/9:
Answer: {x = 82/9
{y = 9/5