9514 1404 393
Answer:
D) y - 2 = 5/7(x - 7)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
The given answer choices are written in point-slope form, so we can see they expect the line to go through one of the points (-7, -2), (7, 3), or (7, 2). Of these, we note that only point (7, 2) is on the line. (eliminates choices A, B, C)
To confirm that choice D is the correct choice, we can look at the slope between the y-intercept of (0, -3) and the point (7, 2). That is ...
m = (y2 -y1)/(x2 -x1)
m = (2 -(-3))/(7 -0) = 5/7
So, the equation of the line is ...
y -2 = 5/7(x -7)
Answer:
All you have to do is substitute the value of x= -3 into the equation, then
g(-3) = -2(-3)2 + 3(-3) = -2(9) -9 = -18 - 9 = -27
Step-by-step explanation:
Answer:
3.75 cups
Step-by-step explanation:
Given that :
5 cups of liquid lemonade concentrate is mixed with 2.5 cups of water to make lemonade
5 cups of lemonade = 2.5 cups of water
Ratio :
5 / 2.5
For 2.5 cups of lemonade :
5 / 2.5 = 0.5
Multiply :
5 / 2.5 * 0.5 / 0.5
2.5 / 1.25
Hence, 2.5 cups + 1.25 cups = 3.75 cups of lemonade will be made with 2.5 cups of liquid lemonade concentrate
<span>Solve for d.
5+d>5−d Subtract 5 from both sides of this inequality:
d>d There is no value for d that satisfies this inequality.
No value can be greater than itself.
</span><span>Solve for p.
2p+3>2(p−3) Multiply this out: 2p+3>2p-6
</span><span> Subtr 3 from both sides: 2p> 2p-9
This is equivalent to 2p+9>2p.
We could subtr. 2p from both sides: 0>-9.
0> -9 is always true. Thus, the given inequality has infinitely many solutions.
</span>
Ｆ（５） ＝ －２ ＊ ５ ＋ １ ＝ －９
ｔｈｅ ｐａｉｒ ｉｓ （５， －９）
