Very complex, you should ask each individual question, or give more points
general strategy:
get 1 side to equal 0
factor
set each factor to 0
solve
1. factor out the x and set each to zero
x(x+7)=0
x=0
x+7=0
subtract 7
x=-7
x=0 or -7
2. factor out the 6s
6s(s+3)=0
6s=0
s=0
s+3=0
subtract 3
s=-3
s=-3 or 0
3. I'm assuming that the equation was supposed to be t^2+8t+16 so
find what 2 numbers multiply to get 16 and add to get 8
the numbers are 4 and 4
factor
(x+4)(x+4)=0
x+4=0
subtract 4
x=-4
4. find what 2 numbers multipy to get 25 and add to get -10
the numbers are -5 and -5
factor
(x-5)(x-5)=0
set each to zero
x-5=0
add 5
x=5
5. subtract 16 from both sides
h^2+6h-16=0
find what 2 numbers multiply to get -16 and add to get 6
the numbers are -6 and 10
factor
(h-6)(h+10)=0
set each to zero
h-6=0
add 6
h=6
h+10=0
subtract 10
h=-10
h=-10 or 6
6.subtract 5x from both sides
x^2-5x-14=0
find what 2 numbers multiply to get -14 and add to get -5
the numbers are -7 and 2
factor
(x-7)(x+2)=0
set each to zero
x-7=0
add 7
x=7
x+2=0
subtract 2
x=-2
x=-2 or 7
7.add 2r^2 to both sides
2r^2+11r+15=0
difficult so multiply 2 and 15 and get 30
not factor and find what 2 numbers multiply to get 30 and add to get 11
the numbers are 5 nd 6
split 11 up into 5 and 6
2r^2+6r+5r+15=0
group and factor
(2r^2+6r)+(5r+15)=0
factor
2r(r+3)+5(r+3)=0
reverse distribute
(2r+5)(r+3)=0
set each to zero
2r+5=0
subtract 5
2r=-5
divide 2
r=-5/2
r+3=0
subtract 3
r=-3
r=-3 or -5/2
8. this is a difference of 2 perfect squares in which if you have
x^2-y^2 that factors out of (x-y)(x+y) so
x^2-25=0
x^2-5^2=0
(x-5)(x+5)=0
set each to zero
x-5=0
add 5
x=5
x+5=0
subtract 5
x=-5
x=-5 or 5
9. differnce of 2 perfect squares
81-4x^2=0
9^2-(2x)^2=0
(9-2x)(9+2x)=0
set each to zero
9-2x=0
add 2x to both sides
9=2x
divde 2
9/2=x
9+2x=0
subtract 9 from both sidees
2x=-9
divide 2
x=-9/2
x=-9/2 or 9/2
10. subtract 12s from both sides
4s^2-12s+9=0
multiply 4 and 9 and get 36
find what 2 numbers multiply to get 36 and add to get -12
the numbers are -6 and -6
split up the -12s into -6s and -6s
4s^2-6s-6s+9=0
group
(4s^2-6s)+(-6s+9)=0
factor
2s(2s-3)+(-3)(2s-3)=0
reverse distribute
(2s-3)(2s-3)=0
set each to zero
2s-3=0
add 3
2s=3
divide 2
s=3/2
ANWERS:
1. x=0 or -7
2. s=-3 or 0
3. x=-4
4. x=5
5. h=-10 or 6
6. x=-2 or 7
7. r=-3 or -5/2
8. x=-5 or 5
9. x=-9/2 or 9/2
10. s=3/2
Answer:
2x + 5y = 4.70
Step-by-step explanation:
Rider ordered 2 hot dogs and 5 hush puppies. His total was $4.70. Write an equation in standard form for this relation, using
From the above question, note that
x = cost of a hot dog
y = cost of a hush puppy.
Our Standard Equation is given as
2 × x + 5 × y= $4.70
2x + 5y = 4.70
Answer:
After 14.92 seconds, the arrow hits the ground.
Step-by-step explanation:
Given:
Initial velocity of the arrow is, 
The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.
Therefore, displacement of the arrow is 0 m.
The displacement of the arrow is given as:
(equation 1)
Plug all value in equation 1 and solve for 
where 
∴ After 14.92 seconds, the arrow hits the ground.
The answer will be start fraction pi over 2 end fraction
