Answer:
4x+15 Is the answer
Step-by-step explanation:
4(6−2x)−3(3−4x)
Distribute:
=(4)(6)+(4)(−2x)+(−3)(3)+(−3)(−4x)
=24+−8x+−9+12x
Combine Like Terms:
=24+−8x+−9+12x
=(−8x+12x)+(24+−9)
=4x+15
Answer: <u>A. 35</u>
Step-by-step explanation: The largest prime number less than 50. The largest number less than 50 is 49, but it is not prime, because 49=7·7. The previous number is 48, but it is also composite, because 48=2·2·2·2·3. The previous number is 47, it is prime.
The smallest composite number greater than 10. The smallest number greater than 10 is 11, but it is prime. The next number is 12, it is composite, because 12=2·2·3.
The difference between the largest prime number less than 50 and the smallest composite number greater than 10 is<u> 47-12=35.</u>
Answer:
<u>Find the slope:</u>
<u>Use point-slope form and one of the points:</u>
- y - y₁ = m(x - x₁)

14 divided by 4. Then square it. 12.25
Well, if a line is parallel to another, they share the same slope. Why that is, I can further explain in the comments if you're interested. Anyway, because we know this line is parallel to 3x-5, it MUST have a slope of 3, since that is the slope of the other line. So you can go ahead and mark out those last 3 answers. You could also mark out the first one since it's the EXACT SAME line as the one were given, so it wouldn't be parallel, it would just be equal to it. So we know the answer has to be B. What if A wasn't the same as the line given though? in that case, we could look at the point you're given. it describes the y intercept of our unknown line, since the point occurs at x=0. If that doesn't make sense, let me know and I can elaborate on why that is. Anyway, if we're looking at the general form of a line, y = mx + b, b describes the y value at which the y-intercept occurs. the y intercept were given occurs at y= 7, so the b value of our line must be 7. This agrees with answer B.
Hope that helps, and let me know if you have any questions! :)