Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
Answer:
Step-by-step explanation:
<h3>Given</h3>
- Sofa = s
- Love seat = l
- Chair = c
- Sofa and love seat cost = $1300
- Sofa and 2 chairs cost = $1400
- Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
<h3>Solution</h3>
<u>Equations as per given are:</u>
- s + l = 1300
- s + 2c = 1400
- s + l + c = 1600
<u>Subtract equation 1 from equation 3:</u>
- s + l + c - s - l = 1600 - 1300
- c = 300
<u>Considering this in the equation 2:</u>
- s + 2*300 = 1400
- s = 1400 - 600
- s = 800
<u>Substituting s in the equation 1:</u>
- 800 + l = 1300
- l = 1300 - 800
- l = 500
<u>Answer:</u> Love seat costs $500
Answer:
x= -1/3
Step-by-step explanation:
2x+7x=-3
9x/9= -3/9
x = -1/3
Answer:
C. A horizontal stretch to produce a period of
and a vertical compression.
Step-by-step explanation:
We are given the parent function as 
It is given that, transformations are applied to the parent function in order to obtain the function
i.e. 
That is, we see that,
The parent function
is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of
which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period
.
Since, the period of
is
, so the period of
is
= 
Hence, we get option C is correct.
If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)
=> (4,-1/2)
=> (2,-1)
=> (-1,-1)
=> (1,4)
=> (4,-4)
=> (-12,1)
<h3>Further explanation
</h3>
-
Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2. Therefore, the new point is (4,-1/2)
- Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2. Therefore, the new point is (2,-1)
- Making the input of the function negative will multiply every x-value by 1. To get the new point, we will take the x-value (4) and multiply it by -1 to get. Therefore, the new point is (-1,-1)
- Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1. Therefore, the new point is (1,4)
- Multiplying the whole function by 4 increases all y-values by a factor of 4
, so the new y-value will be 4 times the original value (4) or -4. Therefore, the new point is (4,-4)
- Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)
<h3>Learn more</h3>
- Learn more about corresponding point brainly.com/question/10218370
- Learn more about point on the graph brainly.com/question/11297347
- Learn more about the graph brainly.com/question/11534295
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: corresponding point
Keywords:
corresponding point, the graph, point on the graph