Answer:
The amount paid by each house is $11.25
Step-by-step explanation:
Let the amount paid by each house is $K
Number of neighbors you worked for on Friday = 4
So the amount paid by all of them = 4K
Number of neighbors you worked for on Saturday = 5,
similarly amount paid = 5K
Number of neighbors you worked for on Sunday = 3,
here amount paid = 3K
Also, in total the amount paid = $135
So, Amount paid on {Friday + Saturday +Sunday} = Total Amount
or, 5K + 4K + 3K = $135
or, 12K = 135
⇒K =135/12 = $11.25
So, the amount paid by each house is $11.25
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
100 / 120 / 121
10 11
Hope this helps
We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.
With this data we can write a generic equation for the function:
f (x) = bx (x + 4) (x-2)
Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.
The graph of the function can be of two main forms, based on the value of the coefficient b.
If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit
If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.
In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1
Answer:
$10.80
Step-by-step explanation:
I'm assuming that the $15.10 includes the $9.70 she got from the old picture.
$15.10-$9.70=$5.40
That means half of her weekly allowance is $5.40
If half of her weekly allowance is $5.40, then her entire weekly allowance is $5.40*2 = $10.80
