Answer:
a) (-2,-2)
b) (0,1)
Step-by-step explanation:
(0,-5) is the vertex of the initial function.
(0-2,-5+3)
(-2,-2)
(0,-5)
Reflected in the x-axis : (0,5)
4 units down: (0,1)
Answer:
Therefore the given vectors are orthogonal for b = 0,±3.
Step-by-step explanation:
If and are two vectors orthogonal, then the dot product of and will be zero.
i.e
If and
Given two vectors are (-18,b,9) and (b,b²,b)
Let
and
Therefore,
=(-18).b+b.b²+9.b
= -18b+b³+9b
= b³-9b
Since and are orthogonal. Then = 0.
Therefore,
b³-9b= 0
⇒b(b²-9)=0
⇒b =0 or b²=9
⇒b=0 or b =±3
Therefore the given vectors are orthogonal for b = 0,±3.
(4+3)x6
Or
6x4 + 6x3
Hopefully one of these will work!!!
Answer:
to put in the value of any variable in this equation(for example 2 ) we will write it as
g(2) = 4(2) - 4(2)^2 + 7(2) -8
g(2) = 8 - 16 + 14 - 8
g(2) = -2
Step-by-step explanation:
In order to have average 80 score from 5 tests, student needs to have 400 points (80%*500=0.8*500=400)
So far he has 63+72+88+91= 314
400-314=86
He needs to get 86 points from the last test.
Since he is obviously getting better at tests, i think he'll manage :)