Could you take a better picture please?
Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Answer:
0.5,0.25,0.125
Step-by-step explanation:
Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.
Since here we have the draws with replacement we can say each trial is independent of the other.
i.e. the first card does not affect the second card at all.
the probability that:
a) The first card is red.
=
(b) The second card is hearts given that the first is red.
=P(second is hearts)
= 0.25
(c) The first card is red and the second is hearts.
= 
(since independent)
Answer:
Step-by-step explanation:
The given expression is
(4×10^8)(4×10^-7)/(4×10^8)
Considering the property of exponents which is expressed as
y^a × y^b = y^(a + b)
Applying the above rule to the denominator of the given expression, it becomes
4×10^8 × 4×10^-7 = 16 × 10^(8 + - 7)
= 16 × 10^(8 - 7)
= 16 × 10 = 160
The expression becomes
16 × 10/(4×10^8)
We would apply the property of exponents which is expressed as
y^a ÷ y^b = y^(a - b)
It becomes
16/4 × 10^(1 - 8)
= 4 × 10^-7
Answer:
x=-5-3
It cannot be more simplified.
