Answer:15b^2-5b^3+24b-16
Step-by-step explanation:
(4-b)(5b^2+5b-4)
Open the brackets
20b^2+20b-16-5b^3-5b^2+4b
Collect like terms
20b^2-5b^2-5b^3+20b+4b-16
15b^2-5b^3+24b-16
Answer:
a) the slope is 2/-1 or just -2
b) the slope is 1/1 or just 1
Step-by-step explanation:
You can find slope (rise/run) by picking a point on the graph. For example on question a I chose the point (-2, 1) i then counted how far my run was, which is 2, and my rise (or how far down it went) was -1. Therefore my slope was 2/-1 or just -2.
Answer:
24
Step-by-step explanation:
6 divided by 1/4 is equal to 6 times 4, which is 24. You multiply 6 by 4 because in fractional division, the second fraction, which is 1/4, is reciprocated to 4, as you 'flip' 1/4, giving you 4/1 = 4. Thus you multiply 6 by 4 and get 24.
Answer:
it would be 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
