Answer:
im sorry i need my points back
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
f(x) = 2x-5
substitute 4 in for x
f(4) = 2*4 -5
f(4) = 8-5
f(4) =3
Answer:
For a function f(x), a vertical stretch of scale factor K is written as:
g(x) = k*f(x)
And for a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the translation is up
if N is negative, the translation is down.
1) We have the function:
y = f(x) = 5^(x - 2)
A vertical stretch of factor 3 will be:
y = g(x) = 3*f(x) = 3*(5)^(x - 2)
2) We have the function:
y = f(x) = 7.2^x
A translation up of 8 units will be written as:
y = g(x) = f(x) + 8 = 7.2^x + 8
Answer:
The length of the edge of the container is 5 centimeters
Step-by-step explanation:
The volume of a cube is V = L³, where L is the length of its side
∵ The side of the small cube is 1 centimeter
→ By using the rule above
∴ The volume of the small cube = (1)³ = 1 cm³
∵ Mario uses 125 small cubes to make the container in the shape of a cube
→ Multiply the number of the small cubes by the volume of each cube to
get the volume of the container
∴ The volume of the container = 125 × 1 = 125 cm³
→ Use the rule of the volume above to find the length of the side
of the container
∵ V = 125 cm³
∴ 125 = L³
→ Take cube root to both sides to find L
∵
= ![\sqrt[3]{L}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BL%7D)
∴ 5 = L
∴ The length of the edge of the container is 5 centimeters
Answer:

Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal interior angles
In this problem
The triangle ABC is an isosceles triangle, because
m∠A=m∠C
therefore
AB=BC
substitute the given values

solve for x



<em>Find the length of side AC</em>

substitute the value of x

