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rodikova [14]
3 years ago
14

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
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