Answer:
I think its the first one but I dont remember
Answer:
Use mathematical representations to support scientific conclusions and design solutions. ... It documents the existence, diversity, extinction, and change of many life
Step-by-step explanation:
Answer:
Either x≈ -1.12 or x ≈0.45
Step-by-step explanation:
Using the quadratic formula to solve this, we will follow the steps below;
First, write down the quadratic formula;
x = -b ±√b² - 4ac /2a
From the question, the equation given is: 6x²+4x−3=0
comparing the equation given withe standard equation ax² + bx + c=0
a= 6 b= 4 and c = -3
We can now proceed to insert the values into the formula;
x = -4 ±√4² - 4(6)(-3) /2(6)
x = -4 ±√16+72 /12
x = -4 ±√88 /12
Either x = -4+√88 /12
x ≈0.45
OR
x = -4 -√88 /12
x≈ -1.12
Either x≈ -1.12 or x ≈0.45
Let x = number of pages holding 2 cards,
y = number of pages holding 3 cards.
So his total number of card would be 2x + 3y, which is given as 18. So we get this equation.
2x + 3y = 18
Subtract 3y from both sides:
2x = 18 – 3y
Divide both sides by 2:
x = (18 – 3y)/2
x must be an integer. So 18–3y must be a multiple of 2. Since 18 is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2 too.
Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.
Thus there are 4 ways to display his figures.
Answer: A. x= 5"
Step-by-step explanation:
ORIGINAL/NEW = 11"/7" = 8.5"/x
x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"
If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect
Then we will adjust
ORIGINAL/NEW = 11"/y = 8.5"/5"
y= 11" x 5"/8.5" = 6.47"
Then the new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame
Answer: A. x= 5"
