Answer:
The graph of the function f( (1/2)x ) will expand across x-axis
Step-by-step explanation:
We have been given the function:
f(x) = x⁴
If we substitute x = (1/2)x into the given equation, we get:
f((1/2)x) = ( (1/2)x )⁴
We can simplify the equation
f((1/2)x) = = (1/2)⁴ x⁴
f((1/2)x) = = (1/16) x⁴
Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴
Hello there!
The standard form of the equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
So we have h = 4 and k = 3 and r = √5
So we just need to add these numbers to where they belong.
(x - 4)² + (y - 3)² = (√5)²
(x - 4)² + (y - 3)² = 5
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
Answer:
Step-by-step explanation:
d = - 9
a = 4
n = 95
tn = a + (n - 1)*d
t95 = 4 + (94)*(-9)
t95 = 4 -846
t95 = - 842
Answer:
the corresponding point is (5,-4)
Step-by-step explanation:
x+3=8 <=> x =8-3=5
so f(5+3)=f(8)=-4
so the corresponding point is (5,-4)
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,

Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,

Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,

Simplifying, we get,



Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

Thus, the measure of ∠CBD is 60°