Answer:
$34.40
Step-by-step explanation:
this equation has 3 steps
1. to find out how much the dvds cost without any discount or tax: $40
2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32
3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4
<u><em>The answer:</em></u> 6x^3+18x
<u><em>The Explanation:</em></u> You need to uses distributive property to 6x to x^2+3 which will be 6x^3+18x
−2x + 3y + 5z = −21
−4z = 20
6x − 3y = 0
do -4z=20 first
divide both sides by -4 to get z by itself
-4z/-4=20/-4
z=-5
Use z=-5 into −2x + 3y + 5z = −21
-2x+3y+5(-5)=-21
-2x+3y-25=-21
move -25 to the other side
sign changes from -25 to +25
-2x+3y-25+25=-21+25
-2x+3y=4
6x-3y=0
find x by eliminating y
Add the equations together
-2x+6x+3y+(-3y)=4+0
-2x+6x+3y-3y=4
4x=4
Divide by 4 for both sides
4x/4=4/4
x=1
Use x=1 into 6x − 3y = 0
6(1)-3y=0
6-3y=0
Move 6 to the other side
6-6-3y=0-6
-3y=-6
Divide both sides by -3
-3y/-3=-6/-3
y=2
Answer:
(1, 2, -5)
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Answer:
c. y = x - 6.
Step-by-step explanation:
It's a straight line whose general form is y = mx + c.
The slope is (0, -6) / (6, 0)
= -6 / -6
= 1 so the coefficient of x , (m) is 1.
The value of c ( the y-intercept) is -6.
