Answer:
6 years
Step-by-step explanation:
6 = ⅕m
m = 30
"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."
In x years, mother will be 30+x and the daughter will be 6+x.
30+x = 3(6+x) = 18+3x
12 = 2x
x = 6
In 6 years, the mother will be 36 and the daughter will be 12.
Answer:
y - 1 = -4(x - 4)
Step-by-step explanation:
The point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope.
Here, y - 1 = -4(x - 4). This is in point-slope form.
Answer:
The number of cases in the year 2010 is 266.
Step-by-step explanation:
An exponential function is one that the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a positive real, a> 0, and different from 1, a ≠ 1.
In this case:

where t is the number of years since 1960 and e is an irrational number of which it is not possible to know its exact value because it has infinite decimal places. The first figures are 2,7182818284590452353602874713527 and is often called the Euler's number. e is the base of natural logarithms.
In this case, you want to know the number of cases r (t) in 2010. So, to know t you must know how many years have passed since 1960. For that, you can simply do the following subtraction: 2010-1960 and you get as a result : 50.
Replacing in the exponential expression r (t):

Solving:
r(t)=265.79 ≅ 266
<u><em>The number of cases in the year 2010 is 266.</em></u>
5:5 (first box, pencils to pens)
7:3 (second box, coloured pencils to crayons)
The probability of picking a pen (1st box): 5/10
The probability of picking a crayon (2nd box): 3/10
Probability of picking both: 5/10*3/10 = 15/100
Answer:
Y=2x+4
Step-by-step explanation:
The x has to be at 0 so you count down by 2's since its negative till its at 0 hope this helps!:)