Answer:
There are 20 ways the pizza can be ordered.
Step-by-step explanation:
Choices available in Sizes = 4
Choices available is toppings = 5
Since these choices are mutually exclusive,
So, by the PERMUTATION RULE
Number of ways a pizza can be ordered is : 4 x 5 = 20
So, there are 20 ways the pizza can be ordered.
The right system of equations to describe the situation would
be on the form:
x1 = 8000 + y1*t
and
x2 = 8000 + y2*t
where x1 and x2 represents the total money of Imogene and her
friend respectively at the end of t years.
Now for the value of amount earned, y1 and y2:
y1=8000*0.08
y2=2000*√(t-2)
<span> </span>
Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
<em></em>
<em></em>
<em>Where</em>
and 
Put these values in the formula

By comparison;
and 

Multiply both sides by 2

Subtract 2 from both sides



Multiply both sides by 2

Subtract 7 from both sides


<em>Hence, the coordinates of D is (-4,-9)</em>
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
Answer:

Step-by-step explanation:
Part 15) we know that

Solve for k
That means ----> isolate the variable k

we have


substitute

