Answer:
Cesar's amount can be expressed by x + 12.12
Dalila's amount can be expressed as x - 22.88
Step-by-step explanation:
If Carmen raised 12.12.less than Cesar, that means his amount is 12.12 more than hers so that is <u>x + 12.12</u> for <u>Cesar</u>.
If Cesar raised 35 more than Dalila, her amount is Cesar's minus 35. Calculate: x+12.12 - 35. the difference is 22.88 less than x so the amount for <u>Dalila is x- 22.88</u>
It has already given you the answer.
Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)
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Explanation:
We can write the 9x^2 as (3x)^2 since
(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2
The 49 can be written as 7^2 because 7^2 = 7*7 = 49.
This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.
The difference of squares factoring rule is
a^2 - b^2 = (a-b)(a+b)
which we have a = 3x and b = 7 in this case
So,
a^2 - b^2 = (a-b)(a+b)
(3x)^2 - 7^2 = (3x-7)(3x+7)
9x^2 - 49 = (3x-7)(3x+7)
Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.
Answer:
y = -2x -1
Step-by-step explanation:
y-5=-2(x+3)
Distribute -2 × x and -2 × 3
y - 5 = -2x -6
y + 5 = -2x -6
y = -2x - 1
The required system of linear equations is y = -4x + 1 and y = 5x - 8.
Given that,
From the graph,
system of linear equation is to be determined.
Here,
The slope-intercept form of linear equation.
y = mx + c - - - - - (1)
Equation of line 1
Since point (-1, 5), (0, 1) lies on the line 1.
The slope of line 1,
m = 1-5 / 0+1
m = -4
Now put this slope and 1 point in the equation.
5 = -4(-1) + c
c = 5 - 4
c = 1
now, put m and c in equation 1
y = - 4x + 1
Similarly, the equation of line 2 is given as y = 5x - 8.
Thus, the required system of linear equations is y = -4x + 1 and y = 5x - 8.
Learn more about lines here:
brainly.com/question/2696693
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