Use the power rule (which says to multiply the exponents)
1) n⁴ˣ⁸ = n³²
2) x³ˣ⁻⁵ = x⁻¹⁵ =
3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵
The histogram represents the number of boxes of colored pencils ordered by classrooms.
2 answers:
You might be interested in
If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:
x+y+z= 22
y is shorter than x by 5 inches so y= x-5
z is longer than y by 2 inches therefore z= x-5 +2
therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
replace x in y and z in previous formations
x+y+z= 22
y is shorter than x by 5 inches so y= x-5
z is longer than y by 2 inches therefore z= x-5 +2
therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
replace x in y and z in previous formations
Answer:
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope =
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope =
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
✅The exact solution would be: