Answer:
y>4
Step-by-step explanation:
The bigger number is always first
The sum of the numbers is 7.69 * 10^6
<h3>How to evaluate the sum?</h3>
The expression is given as:
(1.54 times 10 superscript 6 baseline) (6.15 times 10 superscript 6 baseline)
Rewrite properly
(1.54 * 10^6) + (6.15 * 10^6)
Factor out 10^6
(1.54 + 6.15) * 10^6
Evaluate the sum
7.69 * 10^6
Hence, the sum of the numbers is 7.69 * 10^6
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Answer:
Option B is correct.
The point which lies on the new graph g(x) is, (-3, 7.5)
Step-by-step explanation:
For a base function f(x), a new function g(x) = cf(x) is vertically stretched by a factor c if c> 1.
Given the parent function: f(x) =|x|
Now, by vertically stretched definition,
A function f(x) is vertically stretched by a factor of 2.5 then; we have the new function or new graph i.e,
g(x) = 2.5 f(x) where c=2.5 > 1
therefore, g(x) =2.5|x|
We have to find which point lies on the new graph;
Option A:
(-4 , -4)
Here x = -4 and g(-4) = -4
-4 = 10 False.
Option B:
(-3 , 7.5)
g(x) = 2.5|x|
7.5 = 7.5 True.
Option C:
(-2 , 5.5)
5.5 = 2 False.
Option D:
(-1 , -2.5)
-2.5 = 2.5 False
Therefore, from above you can see that the only point which is true for the new graph is, (-3 , 7.5)
Answer:
x = 5
Step-by-step explanation:
Since these are similar triangles all you need to do is figure out how much "x" has gotten smaller.
First take the line DE length (16) and divide it by line BC (8)
16 / 8 = 2
Now divide line BD by 2
10 / 2 = 5
x = 5