Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Given:
x³ + 8x² - 3x - 24
Find:
Factors
Computation:
x³ + 8x² - 3x - 24
x²(x + 8) -3(x + 8)
(x + 8) (x² - 3)
Factor of the given equation is (x + 8) (x² - 3)
Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
Learn more,
brainly.com/question/12422372
a) if AB = CD, then 3CD = 3(CD + 1) NOT TRUE
example: AB = CD = 1, then 3CD = (3)(1)=3 and 3(CD + 1) = 3(1 + 1) = 3(2) = 6
b) if AB = CD, then AB - CD = A - C + B - D NOT TRUE (it does not make sense because A, B, C and D are points)
c) if AB = CD, then AB + EF = CD + EF TRUE
because
AB = CD |add EF to both sides
AB + EF = CD + EF
d) if AB = CD, then 2AB = 2A + 2B NOT TRUE (it does not make sense because A and B are points).
Answer:
y=2/9x-14.33
Step-by-step explanation:
y=2/9x- 5
then y=2/9x+b
enter points (6,-13)
-13=12/9+b
-13-12/9=b
-14.33=b
y=2/9x-14.33
