Answer:
<h2><em><u>Option</u></em><em><u> </u></em><em><u>C</u></em><em><u>:</u></em><em><u> </u></em><em><u>5</u></em></h2>
Step-by-step explanation:
3x - 2 = 13
=> 3x = 13 + 2
=> 3x = 15
![= > x = \frac{15}{3}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B15%7D%7B3%7D%20)
=> <em><u>x = 5 (Ans)</u></em>
Answer:
(1) ![f(x)=3x+4](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B4)
Ad g(x) represent f(x) after horizontal translation 2 units to the left.
![g(x)=3(x+2)+4](https://tex.z-dn.net/?f=g%28x%29%3D3%28x%2B2%29%2B4)
![g(x)=3x+6+4](https://tex.z-dn.net/?f=g%28x%29%3D3x%2B6%2B4)
is the required translation.
(2) ![f(x)=\frac{-2x}{3}+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B-2x%7D%7B3%7D%2B2)
![f(\frac{1}{2})=\frac{-2}{3}\cdot(\frac{1}{2})+2](https://tex.z-dn.net/?f=f%28%5Cfrac%7B1%7D%7B2%7D%29%3D%5Cfrac%7B-2%7D%7B3%7D%5Ccdot%28%5Cfrac%7B1%7D%7B2%7D%29%2B2)
![f(\frac{1}{2})=\frac{5}{3}](https://tex.z-dn.net/?f=f%28%5Cfrac%7B1%7D%7B2%7D%29%3D%5Cfrac%7B5%7D%7B3%7D)
(3) We have been given a point (1,-9); slope 2
We will use the equation:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m is the give slope.
![y-(-9)=2(x-1)](https://tex.z-dn.net/?f=y-%28-9%29%3D2%28x-1%29)
![y+9=2(x-1)](https://tex.z-dn.net/?f=y%2B9%3D2%28x-1%29)
Therefore, Option (a) is correct.
Using proportions, it is found that Yes, there could be 5 kids, with 3 boys and 2 girls.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, supposing a total of 5 kids:
- More than 1/2 = 50% are boys, hence there are more than 2.5 boys, as 0.5 x 5 = 2.5.
- Less than 2/3 = 66.67% are boys, hence there are less than 3.33 boys, as 0.6667 x 5 = 3.33.
Hence, Yes, there could be 5 kids, with 3 boys and 2 girls.
More can be learned about proportions at brainly.com/question/24372153
1 and 25/100
or 125/100
just convert to fraction and make a mixed number