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3 years ago

For what value of x does 25x=5x2-3?

2 answers:

3 0

I might be wrong but I'll give it a shot, you subtract the 5x from the right side and put it on the left with makes it 20x=2-3. Then subtract the 3 from the 2 which makes it 20x=-1. So it would be -0.05.

I'm not 100% sure. But his is my guess.

Savatey [412]3 years ago

3 0

Important: Use " ^ " to indicate exponentiation: 25x=5x^2-3.

Rearrange these terms in descending powers of x: 5x^2 - 25x - 3 = 0

This is a quadratic equation. To solve it, you could use a graphing calculator, the quadratic formula, completing the square or other approaches.

Let's complete the square of 5x^2 - 25x - 3 = 0:

5(x^2 - 5x) = 3
5(x^2 - 5x + 25/4 - 25/4) = 3
5(x-5/2)^2 - 125/4 = 3 = 12/4
5(x-5/2)^2 =137/4
(x-5/2)^2 -25/4 = 137/20
(x -5/2)^2 = 125/20+137/20 = 162/20= 81/10
Taking the sqrt of both sides, we get:

x-5/2 = plus or minus 9/sqrt(10)
Then:

x = 5/2 plus or minus 9sqrt(10) / 10, or
x = 25/10 plus or minus 9sqrt(10)/10, or

25 plus or minus 9sqrt(10)
x = -------------------------------------
10

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Find the output, h, when the input, x, is -18

erastovalidia [21]

Answer:

The output H is 20 when the input, x, is -18

Step-by-step explanation:

H= 17 + x/6

When the input, x, is -18 then the output H will be:

H= 17 + 18/6

H= 17 + 3

H = 20

Answer: The output H is 20 when the input, x, is -18

5 0

3 years ago

Explain the following in complete sentences:

Soloha48 [4]

Answer:

The answer is that they are both paralleagrams.

Step-by-step explanation:

Hope this helps

8 0

2 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph.

tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0

2 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

2 years ago

Read 2 more answers

Which expressions are equivalent to 5(-2k-3)+2k

bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0

2 years ago