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Ad libitum [116K]
3 years ago
11

Factor x^3-5x^2-3x+15

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
Rearrange slightly like so...

x^3-3x-5x^2+15  now factor first and second pair of terms...

x(x^2-3)-5(x^2-3)

(x-5)(x^2-3)

(x-5)(x-√3)(x+√3)
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What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method​
Artyom0805 [142]

Answer: Equation form: x=-2,y=-1

Point form: (-2, -1)

Step-by-step explanation:

y=-\frac{3x}{2} -4

y=-2x-5

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Solve by Substitution ---> 2x+y=-5 3x+2y=-8

8 0
2 years ago
a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used t
kolezko [41]

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

3 0
3 years ago
One of the diagonals of a rhombus is thrice as the other. The area of the rhombus is 54 sq.Cm. The sum of the length of the diag
Colt1911 [192]

Answer:

Step-by-step explanation:

let one diagonal=x

other diagonal=3x

area=1/2 (x±3x)=3/2 x²=54

x²=54×3/2=81

x=9 cm  

3x=3×9=27

sum of diagonals=x+3x=4x=4×9=36 cm

5 0
3 years ago
Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she
Rudik [331]

The price of the one notebook will be Rs. 10.6

  • Let the price of one notebook be x.

If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;

1x + 4x + 4x = 95

9x = 95

x = 95/9

x = 10. 6

Hence the price of the one notebook will be Rs. 10.6

Learn more on ratio here: brainly.com/question/20346769

8 0
3 years ago
Evaluate the expression solve for k = -3.4 write answer as a decimal or whole number <br><br> 7k/10
Sauron [17]
-2.38 is the answer because 7x-3.4=x/10=-2.38
6 0
3 years ago
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