-88 = 5y-13
+13 +13
-75 = 5y
------------
5
-15 = y
I think
Answer:
12
Step-by-step explanation:
1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
Answer:
f(x)^-1 = x/4
Step-by-step explanation:
f(x)=4x
inverse
x = 4y
rewrite
4y = x
y = x/4
Answer:
f(x)^-1 = x/4
$6-3x<12\quad:\quad\begin{bmatrix}\mathrm{Solution:}\:&\:x>-2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:\infty\:\right)\end{bmatrix}$6−3x<12 : [ Solution: x>−2 Interval Notation: (−2, ∞ ) ]
Steps
$6-3x<12$6−3x<12
$\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}$Subtract 6 from both sides
$6-3x-6<12-6$6−3x−6<12−6
$\mathrm{Simplify}$Simplify
$-3x<6$−3x<6
$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$Multiply both sides by −1 (reverse the inequality)
$\left(-3x\right)\left(-1\right)>6\left(-1\right)$(−3x)(−1)>6(−1)
$\mathrm{Simplify}$Simplify
$3x>-6$3x>−6
$\mathrm{Divide\:both\:sides\:by\:}3$Divide both sides by 3