Answer:
Find a polynomial function whose graph passes through (6,13), (9,-11), (0,5)
1 Answers
Assuming a quadratic, we have that
y = ax^2 + bx + c
Since (0,5) is on the graph, c =5
And we have the remaining system
a(9)^2 + b(9) + 5 = -11
a(6)^2 + b(6) + 5 = 13 simplify
81a + 9b = -16 multiply through by 6 ⇒ 486a + 54b = - 96 (1)
36a + 6b = 8 multiply through by -9 ⇒ -324a -54b = -72 (2)
Add (1) and (2)
162a = -168
a = -28/27
To find b we have
36 (-28/27) + 6b = 8
-112/3 + 6b = 8
⇒ b = 68/9
The function is
y = - (28/27)x^2 + (68/9)x + 5
Answer:
$1.50
Step-by-step explanation:
1. we know that its $240 per 160 hot dogs
2. make that a ratio - 240:160
3. simplify the ratio so that the amount of hot dogs is at one (so divide both sides by 160)
4. so 240/160 = 1.5 . 160/160 = 1
5. 1.5:1
6. so for every one hotdog, you pay $1.50
Answer:
Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.
Step-by-step explanation:
There are many important reasons why you should make a will. some of them are:
Children-a will allows you to provide for children and the special needs of a loved one.You decide how your assets will be distributed on your death.Smart tax planning- a will can ensure the minimum amount of tax going to the State, unlike in an intestacy situation where there is no discretion.you choose who handles your affairs on death rather than having the law decide.It is cheaper and faster to administer your estate with a will, rather than an intestacy.Making a Will is a responsibility you owe to both yourself and your family. It is a legal document that lets you decide what happens with your estate after you die.
Answer:
7.6yd
Step-by-step explanation:
You first have to use sin, because you are dealing with opposite and hypotenuse.
Sin(39)×12
Shows that the sides is 7.55 yards
Answer:
The third choice is the one you want
Step-by-step explanation:
If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:
2x + y = -5 so
y = -2x - 5
The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:

Getting rid of the double negatives gives us:

Distributing then gives us:

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

And the final equation in slope-intercept form is:
