Answer:
Ans:
i) y-int (0 , 2) and x-int (-2/3 , 0)
ii) y = 3x + 2
Step-by-step explanation:
<em>we know:</em>
m = 3 & point (0,2)
<em>i</em>
y-int is (0,2) because where x is 0 it intersects the y-axis
<em>ii</em>
<em>from this we can sub it into the point slope formula which is:</em>
y - y1 = m (x - x1) (y1 and x1 being the values from a point lying on the line)
y - 2 = 3 (x - 0)
y - 2 = 3x
<u>y = 3x + </u><u>2</u> < this is the equation
if you also need to find the x-int then:
to find x-int make y = 0 and solve for x
y = 3x + 2 3x = - 2
0 = 3x + 2 x = -2/3
therefore x-int is (-2/3,0)
Answer:
i think its d
Step-by-step explanation:
Answer: 2π(1.75)(5)
Step-by-step explanation:
Hoped this helped
Answer:
Step-by-step explanation:
From the given information:
The number of different license plate the country can produce is in the form:
=L₁L₂L₃L₄ or L₁L₂L₃L₄L₅ or D₁L₁L₂L₃L₄ or D₁L₁L₂L₃L₄L₅
∴
The Total number of the license plate that can be produced is;
= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)
= 456976 + 11881376 + 4569760 + 118813760
= 135721872
Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)
= 11 P(26,4P + 11 P(26,5)
= 90776400
c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.
= 135721872 - 90776400
= 44945472
d) The probability that a licensed plate has repeated letter is:
= 33.12%
Answer:
(g · h)(5) = -50
Step-by-step explanation:
Step 1: Define
h(x) = x - 7
g(x) = x²
Step 2: Find (g · h)(x)
(g · h)(x) = x²(x - 7)
(g · h)(x) = x³ - 7x²
Step 3: Find (g · h)(5)
(g · h)(5) = 5³ - 7(5)²
(g · h)(5) = 125 - 7(25)
(g · h)(5) = 125 - 175
(g · h)(5) = -50