Answer:
{x = 2 , y = -2
Step-by-step explanation:
Solve the following system:
{y = 4 - 3 x | (equation 1)
{y = x/2 - 3 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
{-x/2 + y = -3 | (equation 2)
Add 1/6 × (equation 1) to equation 2:
{3 x + y = 4 | (equation 1)
{0 x+(7 y)/6 = (-7)/3 | (equation 2)
Multiply equation 2 by 6/7:
{3 x + y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 6 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 2 , y = -2
Answer
C. 49, 17, 4, 18
Step by step explanation
Here mean of all the data set is 88
To find the most spread of data, we need to find the range.
range of set A = The highest value - the lowest value = 36-6 = 30
Range of set B = 30-15 = 15
Range of set C = 49-4 = 45
Range of set D = 30-14= 16
Here the highest range is in Set C.
Therefore, answer is C. 49, 17, 4, 18
Answer:
16
Step-by-step explanation:
DE is the vertical line x=1. It extends between y=2 and y=7, a distance of 5 units.
EF is the horizontal line y=7. It extends from x=1 to x=4, a distance of 3 units.
Then the perimeter of half the rectangle is 5+3 = 8 units.
The perimeter of the rectangle is 2·8 = 16 units.
Answer:
$250,000
Step-by-step explanation:
This is the correct question below;
Fran naders insurance coverage bodily Injury 25/100 and $100,000 property damage. It has a $50-deductible comprehensive and a $50-deductible collision. Her car is in age group C and Insurance-rating group 10(or C,10) and her driver-rating Factor is 1.50.
Find her annual premium.
To calculate this, we proceed as follows;
Mathematically,
Annual premium = Face amount * $1000
25/100 * 100,000 * 100
This is 25,000 * 100 = $250,000
Answer:
The volume of the box is 41.21 inches cube.
Step-by-step explanation:
Given,
Width of the box
inches
inches
Length of the box
inches
inches
Height of the box
inches
inches
The box is in cuboid form.
The volume of cuboid is given by (length × breadth × height ).
So,
volume of the box is
×
×

= 
inches cube
The volume of the box is 41.21 inches cube.