Sum is addition, less than is subtraction, equals is is, division is of and multiplication is per
Answer:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
Answer:
![y = \frac{1}{8} x - 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B8%7D%20x%20-%203)
Step-by-step explanation:
Formula for straight lines:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
![- 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3](https://tex.z-dn.net/?f=%20-%203%20%3D%20%20%5Cfrac%7B1%7D%7B8%7D%20%280%29%20%2B%20b%20%5C%5C%20%20-%203%20%3D%200%20%2B%20b%20%5C%5C%20b%20%3D%20%20-%203)
Substitute b into original formula
![y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B8%7D%20x%20%2B%20%28%20-%203%29%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B8%7D%20x%20-%203)
Answer:
Step-by-step explanation:
Yes because it has a constant rate of change
9514 1404 393
Answer:
- (x +1)² = 4
- (D) x = -1 ±2
Step-by-step explanation:
Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.
3 = x² +2x
Now, add the square of half the x-coefficient.
3 +1 = x² +2x +1
(x +1)² = 4 . . . . . . . . write as a square in the desired form
__
To solve, take the square root, and add the opposite of the left-side constant.
x +1 = ±2
x = -1 ±2 . . . . . . matches choice (D)