Answer:
A,C and B
Step-by-step explanation:
Answer:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
hmmm not sure
Step-by-step explanation:
try mulitply the numbers
Answer:
<h2>x = 3 and x = 4 → (3, 0) and (4, 0)</h2>
Step-by-step explanation:
![\text{x-intercept is for y = 0}.\\\\\text{We have the function:}\ y=x^2-7x+12.\\\\\text{Put y = 0 and calculate the value(s) of x.}\\\\x^2-7x+12=0\\\\x^2-3x-4x+12=0\\\\x(x-3)-4(x-3)=0\\\\(x-3)(x-4)=0\iff x-3=0\ \vee\ x-4=0\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\\\\x-4=0\qquad\text{add 4 to both sides}\\\boxed{x=4}](https://tex.z-dn.net/?f=%5Ctext%7Bx-intercept%20is%20for%20y%20%3D%200%7D.%5C%5C%5C%5C%5Ctext%7BWe%20have%20the%20function%3A%7D%5C%20y%3Dx%5E2-7x%2B12.%5C%5C%5C%5C%5Ctext%7BPut%20y%20%3D%200%20and%20calculate%20the%20value%28s%29%20of%20x.%7D%5C%5C%5C%5Cx%5E2-7x%2B12%3D0%5C%5C%5C%5Cx%5E2-3x-4x%2B12%3D0%5C%5C%5C%5Cx%28x-3%29-4%28x-3%29%3D0%5C%5C%5C%5C%28x-3%29%28x-4%29%3D0%5Ciff%20x-3%3D0%5C%20%5Cvee%5C%20x-4%3D0%5C%5C%5C%5Cx-3%3D0%5Cqquad%5Ctext%7Badd%203%20to%20both%20sides%7D%5C%5C%5Cboxed%7Bx%3D3%7D%5C%5C%5C%5Cx-4%3D0%5Cqquad%5Ctext%7Badd%204%20to%20both%20sides%7D%5C%5C%5Cboxed%7Bx%3D4%7D)
The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
![30\times\cfrac{r}{100} = 0.3 r](https://tex.z-dn.net/?f=%2030%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.3%20r%20)
and similarly, the r% of female is
![20\times\cfrac{r}{100} = 0.2 r](https://tex.z-dn.net/?f=%2020%5Ctimes%5Ccfrac%7Br%7D%7B100%7D%20%3D%200.2%20r%20)
The number of males decreased by this quantity, so now it is
![30 - 0.3r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20)
and the number of female increased by this quantity, so now it is
![20+0.2r](https://tex.z-dn.net/?f=%2020%2B0.2r%20)
we know that these two new counts are the same number, so we can build and solve the equality
![30 - 0.3r = 20+0.2r](https://tex.z-dn.net/?f=%2030%20-%200.3r%20%3D%2020%2B0.2r%20)
Subtract 20 and add 0.3r from both sides:
![10 = 0.5r](https://tex.z-dn.net/?f=%2010%20%3D%200.5r%20)
Divide both sides by 0.5 to solve for r:
![r = 20](https://tex.z-dn.net/?f=%20r%20%3D%2020%20)
Let's check the answer
The 20% of 30 is
, while the 20% of 20 is 4. So, we are stating that
which is true because both expressions evaluate to 24.