Answer:
<h2>$352</h2>
Step-by-step explanation:
Find out the price of one bagel by dividing the price by the number of bagels:
350 Bagels = $168
1 Bagel = $0.48
475 Bagels = $209
1 Bagel = $0.44
0.48 > 0.44
This means the second bakery has the lower price.
Louis wants 800 bagels, so multiply the price by 800.
0.44 * 800 = $352
You can check it's lower by comparing it with the first bakery.
0.48 * 800 = $384
384 > 352
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
<u>3</u> x <u>5
</u><u />4 6
multiply the numerators (top numbers) = <u>15</u>
multiply the denominators (bottom numbers) = 24
you can reduce the fraction by dividing top and bottom of the fraction by 3
<u>15</u>÷3= <u>5</u>
24÷3= 8
You can not put a decimal to a decimal.So you meant to put a decimal to a fraction and the answer would be: 4.26 as decimal fraction = 426/100
Answer:
x = 96°
y = 102°
Step-by-step explanation:
Angles on a straight line add up to 180
78 + y = 180
y = 180 - 78
y = 102
Angles in a quadrilateral add up to 360
78 + 90 + x + x = 360
78 + 90 + 2x = 360
168 + 2x = 360
2x = 360 - 168
2x = 192
x = 192/2
x = 96°
