<u>Answer:</u>
The correct answer option is D. (x - 7) + 2.
<u>Step-by-step explanation:</u>
We are to determine whether which of the given options best describe the English expression:
<em>'two more than the quantity of a number minus seven'</em>
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
The percentage is 85 percent
Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
__
<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
Answer: Choice A
y = (-3/4)(x + 4) + 6
=====================================================
Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
------------
Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
Answer:
A;dkf
Step-by-step explanation:
