Total money spent is $11425 buying 75 animals
each chicken costs $65 so 50 costed the farmer $3250
each cow costs $45 so 15 cows costed the farmer $675
ducks purchased were 10
to find how much the ducks costs we will add the money spent the farmer and subtract it from the total amount spent.
11425-3250-675=$7500
10 ducks = $7500
so one duck costs 7500/10=$750
the price for each duck is $750
A) For the equation
, the slope is
.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if
, the slope is
.
B) Since this equation is in the same form, you just find what m is equal to.
Since
, that's the slope.
For the solution, set
equal to
, so it would be put together like this:
So your answer is
-4.667.
Answer:
Approximately 50% of the vehicle speeds were less than 42 mph
Step-by-step explanation:
The normal distribution is symmetric:
That is, 50% of the measures are below the mean and 50% of the measures are above the mean.
In this problem, we have that:
Mean = 42 mph
So
Approximately 50% of the vehicle speeds were less than 42 mph
The statements that are true for all functions g.
The function g assigns each element of the domain exactly one element of the range.
The value of g(a) is the output of g corresponding to the input a.
Options: 1, 2.
<u>Step-by-step explanation:</u>
A function is a set of relations that result in some outcome. In Maths, any function for a number will result in another number.
The Domain is the collection of numerical values that can be applied in the function and Range is the collection of the output values obtained by applying the domain into the function.
A function is a relation but not all relations are function. For a function, each input has only one output.
Any input value eg: a is applied to the function (g), then its output will be interrelated to the input value i.e. g(a).
Let x and y be the two numbers.
We have x+y=-11 (because their sum is -11)
⇒ x= -11-y.
On the other hand, we also have x*y= -24 (because their product is -24)
⇒ (-11-y)*y= -24
⇒ -y^2 -11y= -24
⇒ y^2+ 11y -24= 0
⇒ ...
⇒ y= (-11-sqrt(217))/2 or y= (-11+sqrt(217))/2
x= (-11+sqrt(217))/2 or x= (-11-sqrt(217))/2 .
Conclusion: the two numbers are (-11+sqrt(217))/2 and (-11-sqrt(217))/2~