P(5) = Px5. P=0.10, so 0.10x5= 0.5
0.5 is your answer.
A consistent system of equations has at least one solution.
A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.
A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.
Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.
For more information on slopes click on the link below:
brainly.com/question/3493733
#SPJ4
Answers:
<h3>1. -5</h3><h3>2. 7</h3><h3>3. 1</h3><h3>4. 5</h3>
Step-by-step explanation:
Plug in the x into the equation and solve.
<h3>Value 1: X = 5</h3>
Y = -2(5) + 5
Y = -10 + 5
Y = -5
<h3>Value 2: X = -1</h3>
Y = -2(-1) + 5
Y = 2 + 5
Y = 7
<h3>Value 3: X = 2</h3>
Y = -2(2) + 5
Y = -4 + 5
Y = 1
<h3>Value 4: X = 0</h3>
Y = -2(0) + 5
Y = 0 + 5
Y = 5
I'm always happy to help :)
X - the number of pencils
y - the number of pens
She has twice as many pencils as she has pens.
Tom borrows a pen, so she has y-1 pens. Now she has ten less pens than pencils.
Set 2y and y+9 equal to each other:
She has 9 pens.
Answer:
One possible equation is 
, which is equivalent to 
.
Step-by-step explanation:
The factor theorem states that if 
(where 
is a constant) is a root of a function, 
would be a factor of that function.
The question states that 
and 
are 
-intercepts of this function. In other words, 
and 
would both set the value of this quadratic function to 
. Thus, 
and 
would be two roots of this function.
By the factor theorem, 
and 
would be two factors of this function.
Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant 
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with 
:
, or equivalently,
.
