Answer:
x = ±4i or x = ±√-16
Step-by-step explanation:
x² - 5x + 19 = 5x + 3
x² + 16 = 0
x² = -16
x = ±√-16 (a negative square root is an imaginary number)
Answer:
Y= -12x + 150
Step-by-step explanation:
1. You do the change in y over the change in x to get the slope.
y1 - y2 / x1 - x2 and you get the slope of -12
2. Making a point-slope form equation
y-y1=m(x-x1)
y-138= -12(x-1)
3. Turning point-slope form equation to slope-intercept
y-138= -12(x-1)
distributive property
y-138=-12x+12
add 138 on both sides
<h2><u>
y= -12x+150</u></h2>
Answer:
B. f(g(x)) = -10x + 8
Step-by-step explanation:
When evaluating f(g(x)), substitute what g(x) is in place of g(x).
So instead of
f(g(x))
the function would be:
f(-5x + 6).
Now all you have to do is evaluate this.
To evaluate this function, substitute the value inside the f(x) for all instances of x in the equation.
f(x) = 2x - 4
f(-5x + 6) = 2(-5x + 6) - 4
f(-5x + 6) = -10x + 12 - 4
f(-5x + 6) = -10x + 8
Therefore, f(g(x)) = -10x + 8.
Answer:
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Step-by-step explanation:
Given:
Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)
point A( x₁ , y₁) ≡ ( 1 , 2)
point B( x₂ , y₂) ≡ (5 , 3)
To Find:
point P( x , y) ≡ ?
Solution:
IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as
Substituting the values we get
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Answer:
1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6
2. the slope is 3
3. -4/3
4. $1.50 per book
5. -2
Step-by-step explanation:
1. the table itself says it for x=0. f(x) for x=0 is 6.
2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.
the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.
3. again slope (see 2.).
going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).
so, the slope is y changes / x change = 4/-3 or simply -4/3
4. rate of change is
(f(a) - f(b)) / (a - b)
e.g.
(275 - 50) / (250 - 100) = 225 / 150 = 1.5
5. again very simple. which of the provided answer options appears in the f(x) column ?
the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.