Using translation concepts, it is found that the equation that represents the new function is:
The cube root parent function is given by:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
<h3>Translation:</h3>
The function goes through these following translations:
- Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence
.
- Reflected over the x-axis, that is, it is multiplied by -1, hence
.
- Translated 8 units down, that is, 8 is subtracted from the function, hence
.
Then, the equation is:
To learn more about translation concepts, you can take a look at brainly.com/question/13671886
Call the number of trumpet players "T" and the number of horn players "H".
We can use the given information to set up equations:
1."<span>the number of trumpet players is 4 times the number of French horn players"
![T=4H](https://tex.z-dn.net/?f=T%3D4H)
2. "</span><span>There are 35 trumpet and French horn players in the band."
![T+H=35](https://tex.z-dn.net/?f=T%2BH%3D35)
If you were asked to solve you could now do it by substitution:
![4H+H=35](https://tex.z-dn.net/?f=4H%2BH%3D35)
![5H=35](https://tex.z-dn.net/?f=5H%3D35)
![H=7](https://tex.z-dn.net/?f=H%3D7)
![T=4H](https://tex.z-dn.net/?f=T%3D4H)
![T=4(7)](https://tex.z-dn.net/?f=T%3D4%287%29)
![T=28](https://tex.z-dn.net/?f=T%3D28)
</span>
Answer:
B. (1,-8)
Step-by-step explanation:
Slope of the first one:
(-6-0)/(0--3) = -6/3 = -2
y = -2x - 6
3y + 30 = 6x
y + 10 = 2x
-2x - 6 + 10 = 2x
4 = 4x
x = 1
y = -2(1) - 6
y = -8
Answer:
2x-64<108
One solution was found :
x < 86
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x-64-(108)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
2x - 172 = 2 • (x - 86)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Add 86 to both sides
x < 86
Answer:
x= 21
y= 3
z= 21
Step-by-step explanation:
Let the center be O,
=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"
=> Line AC is divided in two equal parts by the center so if AO= 21 then
7y = 21, and thus "y = 3"
=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"