The solution to the system of equations is (x, y) = (10, 14), where x is the number of 3-point questions and y is the number of 5-point questions. The appropriate choice is ...
The test contains 10 three-point questions and 14 five-point questions. (2nd selection)
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
Answer:
A
Step-by-step explanation:
Hey There!
So these triangles are congruent so segment CD is equal to segment DB
so to find x we use the equation
7x+10=10x+7
now we solve for x
step 1 subtract each side by 7
10-7=3
7-7 cancels out
now we have 7x+3=10x
step 2 subtract each side by 7 x
10x-7x=3x
7x-7x= cancels out
now we have
3x=3
step 3 divide each side by 3
3/3=1
3/3 cancels out
now we have
x=1
Here are the following multiples:
59 * 2 = 118
and 118 * 1 = 118
The * means times.
Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?
Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is
V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is
Solving for the height of the smaller tank h2
1000000 × h2 = 51200 × 300 cm
h2 = (51200 × 300 cm) /1000000
h2 = 15.36 cm
