Answer:
y =3 x
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the line 3x - y = 5
Get the slope
- y = -3x + 5
y = 3x - 5
Slope m = 3
Substitute m = 3 and (-1, -5) into the given formula
y - (-5) = 3(x-(-1))
y+5 = 3(x+1)
y + 3 = 3x+3
y = 3x + 3 - 3
y = 3x
Hence the equation in slope intercept form is y =3 x
Answer:
19 Slices.
Step-by-step explanation:
The number number of Pizzas = 3
Each Pizza had = 8 Slices
<u>Determining the Total number of Slices:</u>
Total no. of slices =Pizzas × Slices per Pizza
Total no. of Slices = 24
<u>Determining the number of slices Consumed by 5th Grade Teachers :</u>
Total no. of slices Consumed by the Teachers = 5 × 1
Total no. of slices Consumed by the Teachers = 5
<u>Total number of slices Consumed by the students:</u>
Total no. of slices Consumed by the students = Total slices - Slices consumed by teachers.
Total no. of slices Consumed by the students= 24 - 5
Total no. of slices Consumed by the students= 19
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
</span>
Answer:
G=m/r-h^2
Step-by-step explanation:
move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!
Answer:
31 = 2⁵ -1
31 = 16²- 15²
Step-by-step explanation:
As we know that
2¹=2
2²= 4
2³= 8
2⁴= 16
2⁵=32
So
32 = 2⁵
By subtracting 1 in bot sides
32-1 = 2⁵ -1
31 = 2⁵ -1
So
2⁵ -1 = 31
By comparing with
p= 5
As we know that
15²= 225
16² = 256
16²- 15² = 256-225 = 31
16²- 15² = (16+15)(16-15)
31 = (16+15)(16-15)
