Answer: Yes.
Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.
To solve this equation, we have to use the distributive property to multiply 5y through the parentheses.
-45y - 15y^2 = 13
-15y^2 - 45y - 13 = 0
15y^2-45y-13=0
<span>y=<span><span>32</span>+<span><span><span><span>130</span><span>√2805</span></span><span> or </span></span>y</span></span></span>=<span><span>32</span><span><span><span>−1</span>30</span><span>√<span>2805, when you use the quadratic formula.</span></span></span></span>
Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Given:
Volume of square prism = 810 cubic inches
Height of square prism = 10 inches
The volume of a square prism has this formula:
v = a²h
a = side length of the square prism
h = height
810 in³ = a² * 10in
810 in³ ÷ 10 in = a²
81 in² = a²
√81 in² = √a²
9 in = a
The length of each side of the base is 9 inches. Only 5 sides of the cardboard box has a cardboard because the 6th side is open.
