Answer:
f(x) = 
Step-by-step explanation:
∵ The zeroes of the function are x = -4 and x = -1
∵ x + 4 = 0 and x + 1 = 0
∴ The factors of the function are (x + 4) (x + 1)
∴ The function = (x + 4) (x + 1)
∴ f(x) = 
Answer my question , this app is broken
Answer:
70 cards
Step-by-step explanation:
Let A = the number of Andys cards
J = the number of Jons cards
Jon and Andy had a total of 560 trading cards
A+J = 560
After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards
J - 1/9 J = 1/9 J +A
Combine like terms
8/9 J = 1/9 J +A
Subtract 1/9J from each side
7/9J = A
Substitute this into A +J = 560
7/9J +J = 560
Combine like terms
7/9J +9/9J = 560
16/9 J = 560
Multiply each side by 9/16
9/16 *16/9 J = 560 *9/16
J =315
Jon originally had 315 cards
Now we need to find Andys cards
7/9J = A
7/9 (315) =A
245=A
How many more trading cards did Jon have that Andy in the beginning?
We need to take Jons cards and subtract Andys cards
J-A
315-245
70
Answer:
C. Student 3
E. Student 5
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

<u><em>Verify the midpoint of each student</em></u>
student 1
we have the endpoints
(-9,0) and (11,-8)
substitute in the formula


so
The midpoint is not (-1,4)
student 2
we have the endpoints
(-6,-1) and (4,-7)
substitute in the formula


so
The midpoint is not (-1,4)
student 3
we have the endpoints
(-5,2) and (3,6)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
student 4
we have the endpoints
(-3,10) and (5,-2)
substitute in the formula


so
The midpoint is not (-1,4)
student 5
we have the endpoints
(0,-3) and (-2,11)
substitute in the formula


so
<u>The midpoint is equal to (-1,4)</u>
therefore
Student 3 and student 5
Answer:
The length of the pother piece of the wood is 25 cm.
Step-by-step explanation:
Let the length of a piece of wood is x such that the ratio of two pieces is 2:5. Two pieces are 2x and 5 x
Length of the first piece is 10 cm. It means, 2x = 10 i.e. x = 5
We have considered that the length of other piece is 5x. It means 5×5 = 25 cm.
Hence, the length of the pother piece of the wood is 25 cm