x-intercepts: (-3,0), (1,0)
work:
0 = x^2 + 2x - 3
quadratic equation: x = -2 +√(2^(2) - 4 × 1(-3)) / (2 × 1) = 1
quadratic equation: x = -2 -√(2^(2) - 4 × 1(-3)) / (2 × 1) = -3
(x,y) --) (-3,0), (1,0)
y-intercept: (0,-3)
work:
y = (0)^2 + 2(0) - 3
y = -3
(x,y) --) (0,-3)
vertex: (-1,-4)
work:
xv = -( b / (2a) )
a = 1, b = 2, c = -3
xv = -( 2 / (2×1) )
xv = -1
yv = (-1)^2 + 2(-1) - 3
yv = -4
(x,y) --) (-1,-4)
axis of symmetry: -1
work:
a = 1 in the x^(2) + 2ax + a^(2)
x^(2) + 2x + 1^(2) = (x + 1)^(2)
(x + 1)^(2) - 3 - 1^(2)
y = (x + 1)^(2) - 4
y + 4 = (x - 1)^(2)
put in standard form --) 4 × 1/4( y -( -4 ) ) = ( x -( -1) )^(2)
(h,k) = (-1,-4); p = 1/4
in parabola form expression: 4p( y - k ) = ( x - h )^(2) and is symmetric around the y-axis at -1.
When rounded off to the nearest tens, the numbers are 10, 20, 150 and 10
Step-by-step explanation:
- Step 1: If the numbers have their units digit as 5 or greater, then round it off to the next ten or else round it off to the previous ten.
⇒ 12 ≈ 10
⇒ 15 ≈ 20
⇒ 154 ≈ 150
⇒ 6 ≈ 10
Answer: 6 cajas de cada tipo de fruta.
Step-by-step explanation:
En cada caja de manzanas, tenemos 13 manzanas.
En cada caja de limones, tenemos 17 limones.
Si el numero total de cajas es C, entonces el numero total de manzanas es:
C*13
y el numero total de limones es: C*17.
Si en total tenemos 180 frutas, entonces tenemos que:
C*13 + C*17 = 180
C*(13 + 17) = 180
C*30 = 180
C = 180/30 = 6
Tenemos 6 cajas de cada tipo de fruta.
Answer:
25 shelves
Step-by-step explanation:
The number of shelves he can make is basically the total amount of wood he has divided by the amount of wood it takes per shelf.
Given in the problem:
Total Amount of Wood = 15 meters
Wood Amount needed per Shelf = 3/5
Hence,
Number of Shelves = 15 divided by 3/5
Note: dividing by a fraction means multiplying by its reciprocal (upside down version)
We show the division below:
Number of Shelves = 
So Tom can make 25 shelves
2w+4=35
w=15.5
I hoped i helped
