Answer:
One solution
Step-by-step explanation:
The given equation is;
![x+12=4x-1](https://tex.z-dn.net/?f=x%2B12%3D4x-1)
Group similar terms;
![x-4x=-1-12](https://tex.z-dn.net/?f=x-4x%3D-1-12)
Combine the similar terms to get;
![-x=-13](https://tex.z-dn.net/?f=-x%3D-13)
Multiply both sides by -1 to obtain;
![x=13](https://tex.z-dn.net/?f=x%3D13)
Therefore, there exist only one solution.
Answer:
Step-by-step explanation: Volume is the amount of space something takes up, just add up the numbers once you found them.
Answer:
Explanation:
Given the equation:
![y=3x](https://tex.z-dn.net/?f=y%3D3x)
We evaluate two points on the line below:
![\begin{gathered} \text{When }x=0,y=3\times0=0\implies(0,0) \\ \text{When }x=1,y=3\times1=3\implies(1,3) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BWhen%20%7Dx%3D0%2Cy%3D3%5Ctimes0%3D0%5Cimplies%280%2C0%29%20%5C%5C%20%5Ctext%7BWhen%20%7Dx%3D1%2Cy%3D3%5Ctimes1%3D3%5Cimplies%281%2C3%29%20%5Cend%7Bgathered%7D)
From the given options, the graph that contains the points (0,0) and (1,3) is Graph D.
The correct answer is Graph D.
Answer:
A. 1
Step-by-step explanation:
<em>Scale Factor:</em>
<em>The scale factor is the number you multiply the length of a side of the first triangle to get the length of the corresponding side of the other triangle.</em>
Every side that measures 5 in triangle ABC has a corresponding side in triangle DEF that also measures 5. In this case 5 * 1 = 5, so the scale factor is 1.
Answer: A. 1
Answer:
x ≥ 9.2
Step-by-step explanation:
If in a gymnastics competition an athletes final score is calculated by taking 75% of the average technical score and adding 25% of the artistic score all scores are out of 10 and one gymnast has a 7.6 average technical score, the gymnast needs x ≥ 9.2 to have a final score of at least 8.0.
7.6 x 75 / 100 = 5.7