Answer:
Yes
Step-by-step explanation:
If 4 is half of 8, and 50% is half of 100%, then 4:8 is an accurate ratio depecting that half the school owns a bike.
Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²
Answer: 23.5 in.²
Answer:
Sam worked
hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:

Now,

The hours worked by Sam is 41/30 hours (fractional answer).
6n+1 = 25
subtract 1 from each side
6n+1-1 = 25-1
6n = 24
divide each side by 6
6n/6 = 24/6
n =4
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.