Answer:
Five more than the square of a number= 5 + x²
Five more than twice a number = 5 + 2x
Five less than the product of 3 and a number = 3x - 5
Five less the product of 3 and a number = 5 -3x
Twice the sum of a number and 5 = 2(x + 5)
The sum of twice a number and 5 = 2x + 5
The product of a cube of a number and 5= 5x³
The cube of the product of 5 and a number= (5x)³
Answer:
x = 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
h(x) = 19(x - 5)² + 6 ← is in vertex form
with vertex (h, k ) = (5, 6 )
The axis of symmetry is a vertical line passing through the vertex
with equation x = 5
Answer:
<u>1,216 cm³</u>
Step-by-step explanation:
Volume (composite space figure) = Volume (pyramid) + volume (prism)
- ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
- ⇒ 96 [14/3 + 8]
- ⇒ 96 [14/3 + 24/3]
- ⇒ 96 x 38/3
- ⇒ 32 x 38
- ⇒ <u>1,216 cm³</u>
Answer:
e) Hence 2, -7 are roots of the equation X² + 5X - 14 = 0
Step-by-step explanation:
given equation : X² + 5X - 14 = 0
⇒ X² + 7X - 2X - 14 = 0
⇒ X·(X + 7) - 2·(X + 7) = 0
⇒ (X + 7)·(X - 2) = 0
⇒ X = -7, X = 2
<u>Hence 2, -7 are roots of the equation X² + 5X - 14 = 0</u>
Answer:
12 inches
Step-by-step explanation:
2 inches = 25 miles
25 * 6 = 150 miles
