A) 3x (you substitute the g equation into the f one by putting it in the x value for f)
b) x (do the same thing, but switch the letters)
Answer:
Symbolab - Math Solver is a good calculator that shows you steps.
To solve the inequality 
The numerator 
is not factorizable.
so factor the denominator 
:
Now take 
Then we get factor of the denominator as 
Thus 
Now 
Signs of 
is the required solution of the given inequality.
(1/7) Multiplied By x is 1/7x And (1/7) Multplied By Positive 21 is 3. So It Will Then Change To 1/7x + 3 = -6.
Subtract 3 From Both Sides. Then The Equation Changes To 1/7x = -9
Then Since (1/7) Basically Means To Divide You Would Multiply By 7 On Both Sides And Then x Would Equal -63!(:
Then Can Plug In -63 Where x Is To Check Your Work! Hope I Helped!
Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
