Answer:
WZ=
UZ=
Step-by-step explanation:
First, you have to find the x.
3x-6+x+6
Combine like terms
(3x+x) (-6+6)
4x+0
x=4.
WZ=3(4)-6
12-6
6
UZ= (4)+6
10
360 g plain flour
3 eggs
900 ml milk
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Answer:
16022 square foot
Step-by-step explanation:
The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .
We find the surface area of the cylinder
= 2πr(r + h)
r = Diameter /2 = 100 feet/2
r = 50 feet
h = 1 feet
Hence
2 × 3.14 × 50(50 + 1)
= 16022.122533 square foot
= 16022 square foot
Answer:
30 3/8kg or 30.375kg
Step-by-step explanation:
40.5 / 4 = [10.125 or 10 1/8]
[10.125 or 10 1/8] is 1/4
x3
30 3/8 or 30.375
