Answer:
The correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Step-by-step explanation:
Consider the provided information.
Point P on the number line shows Lara's score after the first round of a quiz:
Point P is shown on 3.
That means after the first round her total was 3.
In round two, she lost 4 points.
Therefore, she score −4 points in 2nd round
To find the total points at the end of round 2, we need to add -4 to 3.
3+(−4)=−1
Here −1 is 4 units to the left of 3.
Hence, the correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Answer:
Alyssa had scored 3 goals today.
Step-by-step explanation:
Given:
Number of goals scored yesterday = 
Total number of goals scored in 2 games = 4
We need to find the number of goals scored today.
Solution:
Now Given:
Today she scored 3 times as many goals than yesterday.
So we can say that;
Number of goals scored today = 
Now we know that;
Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.
framing in equation form we get;

Dividing both side by 4 we get;

Number of goals scored yesterday = 1
Number of goals scored today = 
Hence Alyssa had scored 3 goals today.
There is no solution ,<span>a+c=-10;b-c=15;a-2b+c=-5 </span>No solution System of Linear Equations entered : [1] 2a+c=-10
[2] b-c=15
[3] a-2b+c=-5
Equations Simplified or Rearranged :<span><span> [1] 2a + c = -10
</span><span> [2] - c + b = 15
</span><span> [3] a + c - 2b = -5
</span></span>Solve by Substitution :
// Solve equation [3] for the variable c
<span> [3] c = -a + 2b - 5
</span>
// Plug this in for variable c in equation [1]
<span><span> [1] 2a + (-a +2?-5) = -10
</span><span> [1] a = -5
</span></span>
// Plug this in for variable c in equation [2]
<span><span> [2] - (-? +2b-5) + b = 15
</span><span> [2] - b = 10
</span></span>
// Solve equation [2] for the variable ?
<span> [2] ? = b + 10
</span>
// Plug this in for variable ? in equation [1]
<span><span> [1] (? +10) = -5
</span><span> [1] 0 = -15 => NO solution
</span></span><span>No solution</span>
PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
<span>the initial value is 200 at 0
weeks, which means that there are 200 songs to be downloaded at the
beginning</span>
PART B)
<span><span><span>
<span><span>calculate the slope:
</span><span>
m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
y - 200 = -40(x - 0)
y = -40x + 200</span></span>
</span></span></span>
<span>
<span>
</span></span>
Answer:
(x-3)(x^2-7) = x^3 -3x^2 -7x + 21
just change the sign of the root and put x in front of it, then multiply the factors all together
(x-3)(x-sqr7)(x+sqr7) roots come in conjugate pairs to eliminate irrational coefficients
(x-sqr7)(x+sqr7) = x^2-7. similar to (a-b)(a+b) = a^2-b^2
Step-by-step explanation: