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3 years ago

Solve the system of linear equations by substitution. 4x−2y=14 y=0.5x−1

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

4x - 2(0.5x-1) =14
4x - 1x +2 = 14
3x + 2 = 14
X= 4
Plug that into second equation to get y

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What are the zeros of the polynomial function f(x) = x3 + x2 − 20x?

Irina-Kira [14]

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3 years ago

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Lina20 [59]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the inequality -5x < 35

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4 years ago

The sum of squares of three consecutive numbers is 77 find the numbers

ollegr [7]

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are $x^{2} ,(x+1)^{2} ,(x+2)^{2}$

Sum = 77

∴by the problem ,

$x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\$

{Taking 3 common }

$x^{2} +2x- 24 = 0\\$

{By factorization}

$x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\$

Therfore,

$x= -6,4\\$

X can't be negetive

∴ $x =4\\x+1=5\\x+2=6$

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

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4 years ago

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96

Yakvenalex [24]

Answer:

12is the answer

Step-by-step explanation:

let the width be 2c

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c=12

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3 years ago