Answer:
-15
Step-by-step explanation:
y = (x+5)^2 + 5
y = x^2 +10x +25 +5
y = x^2 +10x +30
.
You know this is a parabola. So find several values of x to calculate values of y.
.
The axis of symmetry is where x = -b/2a.
-10/2 = -5
.
The vertex is where the parabola ends. It occurs on the axis of symmetry.
y = (-5)^2 +10(-5) + 30
y = 25 -50 + 30
y = 5
.
Pick several points to either side of the vertex.
x = -4, y = 6
x = -6, y = 6
x = 0, y = 30
x = -10, y = 30
x = 5, y = 105
x = -15, y = 105
Let's have time in minutes as x.
Now we will make the next equation
3x+126 = 2x+151 First we will add number (-126) to the both sides and get
3x+126-126=2x+151-126 => 3x= 2x + 25
3x=2x+25 Now we will add monom (-2x) to the both sides and get
3x-2x=2x-2x+25 => x=25 minutes
They spent the same time 25 minutes and earned the same amount of money
Wilson earned 3*25+126= 75+126= $201
Jonathan earned 2*25+151=50+151= $201
Good luck!!!
Answer:
50
Step-by-step explanation:
lxb=144
16xb=144
b=9
perimeter=2(l+b)
=2(16+9)
=50 cm
Sine m/3 = sine 90 /5
Sine m times 5 = sine 90 times 3
5(sine m) = 1 times 3
Divide by 5
Sine m= 3/5
Second sine m =.6
35
Answer:
(B , D) = (-2,5)
Step-by-step explanation:
The given quadratic expression is
compare the given expression with
so we have
now and
we need to find two numbers such that their product is -30 and sum is -1
-6 and 5 are such numbers
so we have
grouping first two terms and last two terms
factor out 3x from first two terms and 5 from last two terms
( factor out (x-2))
hence B =-2 and D= 5
(B,D)= (-2,5)