ANSWER
EXPLANATION
The unit rate of the data represented by the straight line going through the points (0,0) and (1,4) is the slope of the this straight line.
We use the slope formula to determine the unit rate.
This implies that,
Hence the unit rate is 4
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2
Answer:
f[g(x)] = 6x + 47
Step-by-step explanation:
The expression f[g(x)] represents a composite function. You need to plug the function g(x) into the "x" value of the f(x) function. Then, you can simplify.
f(x) = 6x + 11 g(x) = x + 6
f[g(x)] <----- Composition expression
f[g(x)] = 6(x + 6) + 11 <----- Plug g(x) into x
f[g(x)] = 6x + 36 + 11 <----- Multiply terms in parentheses by 6
f[g(x)] = 6x + 47 <----- Add 36 and 11
We know that
A number written out showing the sum of
each place value in the number is a number in expanded form.
<span> When writing numbers in </span>expanded form<span>, we must remember that it simply means to extend the </span>digits<span>, or numbers, out according to their place value
Examples</span>
<span>
the answer isPlace Value</span>
Answer:
b = -9
Step-by-step explanation:
If we have a function with the form:
The axis of symmetry is equal to:
So, for the function , the value of a is 3 and the value of c is 4. It means that its axis of symmetry is equal to:
Solving for b, we get that:
Additionally, the axis of symmetry is , so replacing x by 3/2, we get that b is equal to: