Answer:
f^-1(x)=³√[(x+7)÷4]
Step-by-step explanation:
f(x)=4x^3-7
y=4x^3-7
interchange 'y' with 'x'
x=4y^3-7
make y the subject
4y^3=x+7
divide by 4 both sides
y^3=(x+7)÷4
multiply by the cube root both sides
³√(y^3)=³√[(x+7)÷4]
y=³√[(x+7)÷4]
f^-1(x)=³√[(x+7)÷4]
Answer:7.4%
Step-by-step explanation:
Answer:
C. a reflection in the y-axis
Step-by-step explanation:
The mapping statement for the transformation of the vertices of the triangle ABC is given as following:
A(0,2)→A'(0,2)
B(2,9)→B'(-2,9)
C(4,2)→C'(-4,2)
To find the correct transformation for the given statement.
Solution:
From the given statements, the general transformation statement for the the vertices of the triangle can be given as:
The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.
The answer should be C,
To solve this question, we have to use the rule of triangle inequality. This means, lengths of the any 2 sides of a triangle added up, must be longer than the remaining side.
Therefore, we can try and see which one of the options fits the rule.
A.
35+25 > 10 ✔️
25 + 10 = 35❌
A cannot make a triangle.
B.
15 + 10 > 5 ✔️
10 + 5 = 15 ❌
B cannot make a triangle.
C.
35 + 45 > 55 ✔️
45 + 55 > 35 ✔️
35 + 55 > 45 ✔️
C can make a triangle.
D.
25 + 25 < 75 ❌
D cannot make a triangle.
Therefore, the answer should be C.
I may not help. But i believe it is something to do with the lowest common multiple between those 2 being 60
