The first thing we do in these cases is to define the variables.
We have then:
w = represent the number of acres of wheat
c = represent the number of acres of corn
We write now the inequalities based is:
"Jess will plant up to 27 acres on her farm with wheat and corn"
w + c <= 27
"More than 5 acres will be planted with wheat"
w> 5
Answer:
two inequalities that represent this situation are:
w + c <= 27
w> 5
Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
Answer: c) There is not enough evidence to reject H0
Step-by-step explanation:
The correct answer is option D which is 0.798
The complete question is given below:-
For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Since we know that an exponential function is in the form:y= ab
where,
a= Initial value,
b = For growth b is in form (1+r), where r is the rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
Therefore the correct answer is option D which is 0.798
To know more about equations follow
brainly.com/question/2972832
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