Answer: the above stated equation is a quadratic equation
Step-by-step explanation:
Given the following equations
y = x^2 + 5x - 3....equation 1
y-x = 2
y = x + 2........equation 2
Let equation 1 equal equation 2
x^2 + 5x -3 = x + 2
Bringing the equation to one side and equating to zero
X^2 +5x - 3 -x -2 = 0
X2 + 5x -x -3 -2 = 0
X^2 + 4x -5
Solving the aquatic equation
(x + 5)(x -1) = 0
X + 5 = 0
X1 = -5
X- 1 = 0
X2 = 1
To prove:
Substitute the values for x1and x2 into the equation x^2 + 4x - 5 = 0
Inequalities are used to show the relationship between unequal expressions
- <em>The set notation of (5) and (6) are: </em>
<em> and </em>
<em>.</em> - <em>See attachmen</em>t for the graphs
The following should be notated when plotting the graph of an inequality
- < and > are represented with open circles, while
and
are represented with closed circles - The arrows of
and
point to the left, while the arrows of
and
point to the right.
So, we have:

Rewrite as:
The graph of
will point to the right, and it will use an open circle

Split the inequality:
and 
<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>
<em />
Hence.
cannot be represented on a graph

Split the inequality:
and 
means that -4 is less than x or x is greater than -4.
So, we have:
and 
If
and
, then we make use of
because it contains more values of x.
The graph of
will point to the right, and it will use an open circle
Read more about inequalities at:
brainly.com/question/11612965
Answer:
Interest = $6,300 (Approx.)
Step-by-step explanation:
Given:
Amount deposit (P) = $26,000
Number of month = 36 month
Number of year (n) = 36 / 12 = 3 year
Rate of interest (r) = 7.5% = 0.075
Find:
Interest earned
Computation:
Interest = p[(1+r)ⁿ-1]
Interest = 26,000[(1+0.075)³-1]
Interest = 26,000[(1.075)³-1]
Interest = 6,299.71
Interest = $6,300 (Approx.)
Answer:
f(x) = -5x + 16
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y + 5x = 16
Step 2: Put into slope-intercept form
- Subtract 5x on both sides; y = -5x + 16
Step 3: Rewrite in function notation
f(x) = -5x + 16
Answer:
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
x = (x , y)
m = slope = 1/2
b = y-intercept = 89
Plug in the corresponding numbers & variables to the corresponding variables:
y = (1/2)x + 89
is your answer.
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