Answer:
f(x) – g(x) = x^2 - 4x + 3
Step-by-step explanation:
f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)
Distribute the minus sign
f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2
Combine like terms
f(x) – g(x) = x^2 - 4x + 3
Answer:
1 solution
no solution
infinitely many
1 solution
Step-by-step explanation:
1. 2.3x-7=-7
2.3x=0
x=0
2. 3x=5+3x
0x=5
x=5/0
That’s undefined
3. 40-4x=4(10-x)
40-4x=40-4x
They both are equal no matter what. So, infinitrly many
4. -7+x=-(x+7)
-7+x=-x-7
2x=0
x=0
1 solution I.e 0
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°

In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)
From the first picture, the triangle can be redrawn. It is an isosceles triangle.
The base angles of an isosceles triangle are angle. Hence, angle A = angle C = 56°.
Note that: angle À + angle B + angle C = 180° (sum of angles in a triangle)
56 + B + 56 = 180°
B + 112° = 180°
B = 180° - 112°
B = 68°