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2 years ago

Find the solution to the following system using substitution. y = - 4 + 9 y = 3x - 5

Mathematics

1 answer:

lbvjy [14]2 years ago

6 0

Answer:

1/2, 11/6

Step-by-step explanation:

y=-4+9y

9y-y=4

8y=4

y=1/2

3x-5=1/2

3x=5+1/2=11/2

x=11/6

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Question 15 of 20

grandymaker [24]

Answer: 3 inches

Step-by-step explanation:

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2 years ago

Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

erik [133]

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

$\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0

3 years ago

What value of x solves the following equation?

Bezzdna [24]

-8+4x=-20x-25+7x
4x+20x-7x=-25+8
17x=-17 /17
x=-1

4 0

3 years ago

Thomas bought 7 dozen roses for the wedding. The roses were divided equally into 6 equal vases. How many roses are in each vase?

dlinn [17]

There are 14 roses in each vase.

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3 years ago

Read 2 more answers

On the farm, there were 2 types of animals, Pigs and Chickens. The farm had a total of 10 animals. one day he counted 34 legs. H

makvit [3.9K]

Answer:

Step-by-step explanation:

since he said he counted 34 legs.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.

8 0

3 years ago