Answer:
3
/10
Decimal Form:
0.3
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a [ = 1 ] , that is
a = 4 , so
y = 4
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
= b , that is
b = 5
then exponential function is
y = 4 .
Answer:
the answer is 157
Step-by-step explanation:
i had a test with the same question, i promise its right :)
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
We can represent this situation by the equation 2x+4x+5x=33.
Then 11x=33, and x = 3.
Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or
6:12:15.
Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!
The children's ages are 6, 12 and 15 years respectively.