9514 1404 393
Answer:
(d) ∅
Step-by-step explanation:
Subtracting y from both sides gives ...
4 = -5
There is no value of y that will make this true. <em>There is no solution to the equation</em>.
The solution set is the null set: ∅.
Y=-3x-2
subsitute -3x-2 for y
-7x+3(-3x-2)=10
distribute
a(b+c)=ab+ac
3(-3x-2)=-9x-6
-7x-9x-6=10
add like terms
-16x-6=10
add 6
-16x=16
multiply -1
16x=-16
divide 16
x=-1
subsitute
y=-3x-2
y=-3(-1)-2
y=3-2
y=1
x=-1
y=1
(x,y)
(-1,1)
Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.
10.
-8x - 16
8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.
Factor out a -8:
-8x - 16 = -8(x + 2)
To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.
11.
w^2 - 4w
The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.
w^2 - 4w = w(w - 4)
12.
4s + 10rs
4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s
4s + 10rs = 2s(2 + 5r)
Answer: x = 2
The step by step is attached to this answer, hope it helped!
