Answer:
B
Step-by-step explanation:
its B
:p
The given problem is :
(6x^4 + 15x^3 − 2x^2 + 10x − 4) ÷ (3x^2 + 2)?
now we can write expression (6x^4 + 15x^3 − 2x^2 + 10x − 4) as
(6x^4 + 4x^2 + 15x^3 + 10x - 6x^2 -4)
we have somehow arrange the expression in a way that 3x^2 + 2 is common
now the expression comes out to be
2x^2(3x^2 + 2) + 5x(3x^2+2) -2(3x + 2) / (3x^2+2)
After dividing final result comes out to be (2x^2 + 5x -2)
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For 
Remember that

substitute

Answer:
x-int = 18
y-int = -9/2
Step-by-step explanation:
Use slope-intercept form y=mx + b
To find the slope, substitute the two points into the slope formula and solve.

Substitute a random point (2,-4) and m=1/4 into slope-intercept form
y = mx+b
-4 = 1/4 (2) + b
-4 = 2/4 + b
-4 = 1/2 + b
Isolate b to solve
b = -4 - 1/2
b = -8/2 - 1/2
b = -9/2 <= this is the y-intercept
b is the y-intercept in slope-intercept form
Substitute b= -9/2 and m=1/4 to get the equation of the line.
y = 1/4 x - 9/2
Substitute y for 0 to find the x intercept
y = 1/4 x - 9/2
0 = 1/4 x - 9/2
9/2 = 1/4 x
x = (9/2) / (1/4)
x = (9/2) X (4/1)
x = 36/2
x = 18
Answer:
At most, they can invite 119 people and stay within their budget
Step-by-step explanation:
4,000 = 70 + 33x
3,930 = 33x
3930/33 = x
119 = x
—
4,000 = 70 + 33x
4,000 = 70 + 33(119)
4,000 = 70 + 3,927
4,000 = 3,997