What is the vertex of the graph of f(x) = 5x + 3] + 7?

On one of the Tigers’ plays, Terrence thought they went for +3 yards, but his father told him they actually lost three yards. Wh

stealth61 [152]

−1

Explanation:

Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).

Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:

20 + 5= 25

So the second play they get sacked deep and lose 6 yards. So we subtract 6:

25 − 6=19

So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:

19 − 20= −1

and this makes sense because we know we advanced 5 and fell back 6:

+5 −6 = −1

3 0

2 years ago

Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

hram777 [196]

x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

Solution:

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

Ms. Lee wrote a test with 15 multiple choice short answer questions

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

The maximum number of points possible on the test is 100

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

6 0

3 years ago

What is the rational number equivalent to 1.28? The 1.28 has a line above the 28

Svetach [21]

the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats) 100x = 128.28...
next: 100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99

8 0

3 years ago

The 1 in the hundred thousands place is the value of the middle 1 911,147,837

andrew-mc [135]

The 1 in the hundred thousands place is the value of the middle of 1 and 4.

4 0

3 years ago

Question

Vlada [557]

Answer:

(-6,4)

Step-by-step explanation:

You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.

We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)

8 0

1 year ago