If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
<h3>Exponential function</h3>
The standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Learn more on vertical stretch here: brainly.com/question/14325265
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Since triangle STU and TVW are similar angle VWT and SUW are equal, this means:
106-5x=7x-14
(106)+(14)=(7x)+(5x)
120=(12x)
10=(x)
Angle VWT=106-5x=106-(5)(10)=56
Answer:
193900
Step-by-step explanation:
thx for points
Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5
Answer:
<h2>224 cubic inches</h2>
Step-by-step explanation:
It's a prism.
The formula of a volume of a prism:
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height</em>
We have a triangle in the base.
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
We have <em>b = 4in, h = 7in</em>.
Substitute:
Put the value of a base <em>B = 14 in²</em> and the height <em>H = 16 in</em> to the formula of a volume: