Answer:
31
Step-by-step explanation:
To rationalise 7 + 3 , multiply by its conjugate
The conjugate of 7 + 3 is 7 - 3 , then
(7 + 3)(7 - 3) ← expand using FOIL
= 49 - 21 - 21 - (3)²
= 49 - 18
= 31
Answer:
3x^4 + 7x^3 - 5x^2 + 8x - 13
Step-by-step explanation:
(3x^4 + 7x^3 - 9) - (5x^2 - 8x + 4) =
The negative sign to the left of the second set of parentheses changes every sign inside the parentheses.
The first set of parentheses is unnecessary, so we just drop it.
= 3x^4 + 7x^3 - 9 - 5x^2 + 8x - 4
Now we combine like terms.
= 3x^4 + 7x^3 - 5x^2 + 8x - 13
When two variables have an inverse relationship, the slope is negatively correlated.
The time will it take the runners to cover 1/A mile
t= 5904.6 sec
<h3>What time will it take the runners to cover 1/A mile?</h3>
Joel takes 63 sec for 14-mile long track
speed of joel
Jason takes 57 \mathrm{sec} for 14 mi track
so Jason's speed is
therefore
if both start from the same spot in opposite direction then
where x is the distance covered by Joel
then
time required
Read more about time
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Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)