Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
Answer:
y+4=-3(x+0) or y=-3x-4
Step-by-step explanation:
so you have to make it in form y=mx+b
that would be y=1/3x-2/3
for a perpendicular line, you would need to find the opposite reciprocal of the slope
3/1 or 3 would be the reciprocal, so to make it opposite would be -3
So it would be y-y1 = m(x-x2)
fill it in with the coordinates (0,-4)
y+4=-3(x-0)
to get it to slope intercept form you have to simplify, and after that you get y=-3x-4
The correct answer is C because the lowest number is 4 ( out of all the numbers ), which is the dot to the above the number 4 and the largest number is 14, that is also marked by a dot above the number 18. The medians are ( the middle number ) 8 and 10, so you are going to add these to numbers together, 8 + 10 = 18, and then you have to divide it by 2, 18 ÷ 2 = 9, which means the median is 9, which is the middle line. For the 1st quartile, you have to add both the 7's and divide by 2, 7+7=14 ÷ 2 = 7, so then the 1st quartile is 7, the line closest to the 4, repeat this for the 3rd quartile, 11 + 13 = 24 ÷ 2 = 12, 3rd quartile = 12, the line closest to the number 14.
Answer:
answer is C
Step-by-step explanation:
General equation of a line is expressed as shown:
y = mx+c where;
m is the slope or gradient of the line
c is the intercept of the line
Given the equation of the line graph as y =2.5x
Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)
Based on the explanation, the y-intercept of the graph is therefore 0
