Answer:
D.
Step-by-step explanation:
Your graph of f(x)= 
is the parent function. What you need to know for this graph what the stretch or compression is and what the flip is. When you flip somehting over the x-axis, which is g(x), your is negative. Also, since your graph gets skinnier, the number before the x would be a whole number, with no fractions. The only answer that fulfills this is answer choice D.
Answer:
(5,1)
Step-by-step explanation:
Given :
Solution :
Equation 1 : y=x-4
Equation 2 : y = -x+6
We will use substitution method
Putting the value of y from equation 1 in equation 2
⇒
⇒
⇒
⇒
⇒
Now substituting value of x in equation 1 to get value of y
⇒
⇒
⇒
Thus the solution of given system of equations is (5,1)
We have also solved it by graphing the equations
You can refer the attached figure.
Answer:
A
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x² + 4x - 8 - (2x - 5) ← distribute parenthesis by - 1
= 3x² + 4x - 8 - 2x + 5 ← collect like terms
= 3x² + 2x - 3 → A
For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4
<h3>What will be the value of x?</h3>
To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
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