Answer:
b=2/3
Step-by-step explanation:
The table is given as:

The exponential function is given in the form

where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:

When x=3, y=4, we have:

Dividing the two equations:

The multiplicative rate of change, b is 2/3.
Step-by-step explanation:
x2-8x-3x+24=0
x(x-8) 3(x+8)
(x-8)(x+8)
x-8=0 or x+8=0
x=8. x= -8
Answer: -9.999e+23
I don't know what you're up to.
Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)
A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.
3x - 10 = 6x - 19
1) Subtract 3x from both sides.
-10 = 3x - 19
2) Add 19 to both sides.
9 = 3x
3) Divide both sides by 3.
3 = x
x =3.