Answer:
(a)
(b)
the price of 50 cloud markers is $37.2
Step-by-step explanation:
(a)
Let's assume
price is P
number of markers is N
We are given
The price of a box of 15 cloud markers is $12.70
so,
The price of a box of 42 cloud markers is $31.60
so,
Firstly, we will find slope
now, we can plug values
now, we can use point slope form of line
we can plug value
now, we can solve for P
add both sides by 12.70
(b)
now, we can plug N=50
So,
the price of 50 cloud markers is $37.2
Answer:
3000
Step-by-step explanation:
15 times 4 = 60
60 times 5 =1500
1500 times 2=3000
Answer:
x = 5 (check the diagram included)
Step-by-step explanation:
The question is incomplete, I have included a diagram to aid the understanding of the question
Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal
From the attached figure, we have:
|FG| = 3x + 10, |HE| = 7x - 30
To calculate for the value of x that makes the quadrilateral a parallelogram, we have:
Remember the opposite sides of a parallelogram are equal
3x + 10 = 7x - 30
3x - 7x = 10 - 30
-4x = -20
x = 20 ÷ 4
x = <u>5</u>
x = 5 makes the quadrilateral a parallelogram
Answer:
domain: (-∞, ∞) ; range: [-5, 0]
Step-by-step explanation:
Let's begin with the basics:
The domain of cos x is (-∞, ∞); the range is [-1, 1].
The domain of cos²x is still (-∞, ∞).
Likewise, the domain of -5 cos²x is(-∞, ∞).
The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.
Multiplying cos²x by 5 expands the range to [0, 5].
Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].
Answer:
The polynomial (x -5) is not a factor of second polynomial
Step-by-step explanation:
Factor theorem states that if you divide a polynomial p(x) by a factor x -a of that polynomial, then you will get a zero remainder.
i.,e which means that if x - a is a factor of p(x), then the remainder, when we do synthetic division by x= a, will be zero.
Determine whether the first polynomial is a factor of the second polynomial.
Given the polynomial:
For to be a factor of , the factor theorems implies that x = 5 must be a zero of f(x).
Now, to test whether is a factor;
Set x -5 = 0
⇒x = 5
Then,
we will use synthetic division method to divide f(x) by x =5
you can see the figure as shown below in the attachment.
Since, the remainder is 150 which is not equal to zero, then Factor theorem says that (x-5) is not a factor of