Answer:
∴ Pineapple juice
cups , Orange juice
cups and Seltzer juice
cups.
Step-by-step explanation:
Given;
To mix
cups of pineapple juice
cups of orange juice in
cups of Seltzer in order to make
servings of plants
Total cup of juice,
cups
To make
cups of punch then;
( By fraction rules )
Pineapple juice
cups
Orange juice
cups and
Seltzer juice
cups
So Pineapple juice
cups , Orange juice
cups and Seltzer juice
cups.
Answer:
Answer is 88
Step-by-step explanation:
We have Given function

we have to find f'(x) at x=3 Where f'(x) shows derivative of the given function.
This means we need
f'(3)=?
So By definition of the Derivative that is

so this our definition of derivative of the function
Now We have to find out at x=3, So By putting x =3 in definition ,We get
f'(3)=lim(h---->0)(f(3+h)-f(3))/h
Here lim(h--->0) means limit h approaches to zero(right arrow 0limh→0)
=lim(h---->0)((88(3+h)-77))-(88(3)-77))/h
=lim(h---->0)((264+88h-77)-264+77)/h
=lim(h----->0)(264+88h-77-264+77)/h
now by performing simple arithematic we get result
f'(3) = lim(h---->0)(88h/h)
f('3) = lim(h---->0)(88)
here we use law of the limit we limit of the constant is that constant
lim(h----->0)c=c
so
f'(3)=88
So this our answer
Answer:
(f-g)(x)=-x^(2)+2x+8
the solutions are:
<em><u>x=4 or x=-2</u></em>
Step-by-step explanation:
(f-g)(x)=2x+1-(x^(2)-7)
(f-g)(x)=-x^(2)+2x+1+7
(f-g)(x)=-x^(2)+2x+8
does this help or should I solve for the zeros/solutions of this quadratic equation?
then:
-x^(2)+2x+8=0
-(x^(2)-2x-8)=0
x^(2)-2x-8=0
(x-4)(x+2)=0
<em><u>x=4 or x=-2</u></em>
'Complement' = difference between an angle an 90 degrees.
'Supplement' = difference between an angle and 180 degrees.
Complement of A = 90 - A
Supplement of A = 180 - A
The problem says that the complement is 1/6 of the supplement, right ?
So <u> 90 - A = (1/6) x (180 - A)</u>
Multiply each side of this equation by 6 :
540 - 6 A = 180 - A
Subtract 180 from each side:
360 - 6 A = - A
Add 6A to each side :
360 = 5 A
Divide each side by 5 :
<u>A = 72°</u>