Answer:
k = 6
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here g(x) is the graph of f(x) shifted 6 units to the left
Then
g(x) = f(x + 6) → with k = 6
Answer:
(-4,-2) and (-2, -2)
Step-by-step explanation:
Eliminate y by equating the two given equations:
y=-x^2-6x-10
y = 3x^2 + 18x + 22 = -x^2 - 6x - 10.
Next, combine like terms, obtaining: 4x^2 + 24x + 32 = 0
Simplify by dividing all terms by 4: x^2 + 6x + 8 = 0.
Factor:
x^2 + 6x + 8 = 0 => (x + 4)(x + 2) = 0.
Solve for x: x = -4 and x = -2.
Find the y-values associated with these x-values:
y = -(-4)^2 - 6(-4) - 10 = -16 + 24 - 10 = -2, so that one solution is (-4,-2)
y = -(-2)^2 - 6(-2) - 10 = -4 + 12 - 10 = -2, so that the other sol'n is (-2, -2).
Answer:
1 apple costs $1.2
1 pear costs $1
Step-by-step explanation:
Represent Apples with A and Pears with P
For the person in my front, the expression is:
For me, the expression is
Hence, the system of equation is:
Solving for the values of A and P.
Substract equation (2) from (1)
<em>Hence, 1 pear costs $1</em>
Substitute 1 for P in
<em>Hence, 1 apple costs $1.2</em>
Let's assume
'a' , 'b' are zeros
so, we will find total zeros from graph
We can curve touches x-axis
Let's assume it touches at x=b
so, there would be two zeros at x=b
it also crosses origin
so, another zero is at x=0
it crosses x-axis one more time
Let's assume that zeros at x=a
so, we have got four zeros
x=a,0,b,b
now, we can set up function
we can also write as
.................Answer
The first fraction is saying that 12 cups over 3 dollars is equal to 9 dollars over however many cups. To make it correct it would be 12/3 = C/9.