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3 years ago

Using the quadratic formula to solve 4x^2 – 3x + 9 = 2x + 1, what are the values of x?

Mathematics

1 answer:

katrin [286]3 years ago

3 0

C but i could be wrong lol very wrong.

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Jonathan had a balance of $120 dollars in his bank account at the beginning of the month. During the first week of the month he

tiny-mole [99]

Answer:

$47

Step-by-step explanation:

$120 starting out and he spent $45 + $28 of that $120

so 120-45+28=47

7 0

3 years ago

The sum of four times a number and 18 is the same as the difference of fourteen and twice a number

Citrus2011 [14]

$4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}$

4 0

4 years ago

!!!!!!!!!!!!!!!!!!!!

notsponge [240]

Option 3

The solution for given expression is $\frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}$

<h3><u>Solution:</u></h3>

Given that we have to divide,

$\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}$ ---- (A)

Let us first factorize each term and then solve the sum

Using $a^2 - b^2 = (a + b)(a - b)$

$x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)$ ----- (1)

$x^2 + 5x + 6 = (x + 2)(x + 3)$ ----- (2)

$x^2 + 5x + 4 = (x+1)(x + 4)$ ---- (3)

$x^2 -2x - 8 = (x-4)(x + 2)$ ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}$

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}$

On cancelling terms we get,

$= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}$

Thus option 3 is correct

6 0

4 years ago

The function g(x) is a transformation of the cube root parent function,

asambeis [7]

Answer:

g(x) = $2(\sqrt[3]{x})$

Step-by-step explanation:

Parent function given in the graph attached is,

f(x) = $\sqrt[3]{x}$

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = $k(\sqrt[3]{x})$

Since, the given function passes through (1, 2)

g(1) = $k(\sqrt[3]{1})$ = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = $2(\sqrt[3]{x})$

6 0

3 years ago

The height of an acorn falling out of a tree is given by h=-16t+b. If an acorn takes 1 second to fall to the ground what is the

ollegr [7]

From the equation given above,
h = -16t + b
If it takes 1 second to fall to the ground, we substitute 1 to t of the equation,
h = -16(1) + b
Adding 16 to both sides of the equation, the value of b would be
h + 16 = b
or
b = h + 16

8 0

4 years ago