Answer:
option-C
Step-by-step explanation:
We are given row-echelon form
So, we can write equation from matrix as
Let's assume
now, we can find x and y
so, we get solutions as
where t can be any real numbers
Alana only has $56.47 saved for college. Brainstorm possible reasons why she has only managed to save this
2 answers:
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If x = 4 is the Only Solution of the Equation x² + bx + 16 = 0
Then the Value x = 4 should satisfy the Given Equation
⇒ (4)² + b(4) + 16 = 0
⇒ 16 + 4b + 16 = 0
⇒ 4b + 32 = 0
⇒ 4b = -32
⇒ b = -8
Answer:
Mrs. grub bought total number of shirts = 1
Mrs. grub bought total number of hats = 8
Step-by-step explanation:
Let Mrs. grub bought total number of shirts = x
Let Mrs. grub bought total number of hats = y
As given,
Price of 1 shirt = $4
Price of 1 hat = $12
⇒ Price of x shirts = $ 4x
Price of y hats = $ 12y
Given that,
Mrs. Grubb bought total piece of clothes = 9
⇒ x + y = 9 .......(1)
Also given,
She bought all clothing for $100
⇒ 4x + 12 y = 100 ........(2)
Divide equation (2) by 4 we get
x + 3y = 25 .......(3)
Now,
Subtract equation (1) from equation (3) , we get
x + 3y - ( x + y ) = 25 - 9
⇒ x + 3y - x - y = 16
⇒2y = 16
⇒y = = 8
⇒ y = 8
Put value of y in equation (3), we get
x + 3(8) = 25
⇒x + 24 = 25
⇒x = 25 - 24 = 1
⇒x = 1
∴ we get
Mrs. grub bought total number of shirts = x = 1
Mrs. grub bought total number of hats = y = 8