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2 years ago

13

How can i solve this equation

1 answer:

maks197457 [2]2 years ago

3 0

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

$f(x) = 2 {ax}^{2} + (3 - b)x + 7$

is equal to:

$g(x) = (a - 1) {x}^{2} + 2bx + 7$

•◇•◇○◇•◇•

➡️ $- 2 {x}^{2} + 2x + 7 = 0$

➡️ $Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746$

➡️ $x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ}$

➡️ $x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44$

➡️ $x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44$

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kiruha [24]

Answer:

a= 1024

Step-by-step explanation:

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2 years ago

Which of the following functions best represents the graph?

marshall27 [118]

Answer:

$f(x)=x^3+x^2-4x-4$

Step-by-step explanation:

From the graph, the x-intercepts are;

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These are root of the polynomial function represented by the given graph.

By the remainder theorem;

$f(-2)=0,f(-1)=0,f(2)=0$

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6 0

2 years ago

Read 2 more answers

Estimates 3 2/3 \ 3 2/9

IrinaK [193]

Hello
<span>3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3</span>

6 0

2 years ago

A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five

garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is $x+5$

width of the rectangular corral is $3x$

We know that the square of the diagonal is sum of the squares of the length and width.

So,

$(3x)^{2} +x^{2} =(x+5)^{2}$

$9x^{2} +x^{2} =x^{2}+10x+25$

$9x^{2}-10x-25=0$

$9x^{2}-10x-25=0$

$x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}$

$x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}$

$x=\frac{10\pm\sqrt{100}}{18}$

Since, side can't be negative.

$x=\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Now, length of the diagonal is

$5+\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Hence, length of diagonal is 7.3 yards.

4 0

3 years ago

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earnstyle [38]

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2 years ago