Equation 1 is ,
Equation 2 is [/tex] 3x-2y = -1 [/tex]
for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15
Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method
Add both the equations
Divide both sides by 11
Plug in any one of the equation we get
3(3) -2y = -1
9 - 2y = -1
subtract 9 from both sides
-2y = -10
divide both sides by -2
y=5
So the solution is x= 3 , y= 5
Which means
a. The system is consistent and independent. TRUE
Answer:
2.75
Step-by-step explanation:
The amplitude is half of the difference between the highest and lowest y-coordinates.
amplitude = 0.5|6.75 - 1.25| = 0.5(5.5) = 2.75
sub x=1 into f(x),
remainder= 1^3+2(1)^2-5(1)-6= -8
since remainder≠0, x=1 is not a root of the function
sub x=-1,
remainder = (-1)^3+2(-1)^2-5(-1)-6= 0
by remainder theorem,
x=-1 is a root of f(x)
hence, the correct ans is c
Answer:
4
Step-by-step explanation:
Given that:
Total yards of satin bought by Maddie = yards
Number of yards required make one ribbon = yards
To find:
Number of complete bows that can be made ?
Solution:
First of all, let us learn about converting the mixed fraction to fractional form.
Formula:
Therefore, total yards of satin bought by Maddie can be written in fractional form as:
One hair bow requires yards of ribbon.
Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.
Answer is:
4 hair bows can be made.