Length = 13 = (x + 3)
Width = 14 = (x + 4)
x2 + 7x + 12 = area of the rectangle
can be factored into
(x + 3)(x + 4)
Let L = one of the factors (x + 3)
Let W = the other factor (x + 4)
If x = 10 then
(10 + 3) = 13 = L
(10 + 4) = 14 = W
Checking this can be checked a couple of ways
Plug x = 10 into the original equation
x2 + 7x + 12
102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area
Multiplty the factors
L x W = 13 x 14 = 182 = Area
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Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.
Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.
Answer:
19/20
Step-by-step explanation:
7/10+1/4
=14/20+5/20
=19/20
Answer:
I solved part a
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.
PART C
The logarithmic model is: g(x)= in x/0.4
We are given an exponential function, for the amount of infected trees f(x) after x years.To find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.
Step-by-step explanation:
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