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Bogdan [553]
3 years ago
15

Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:c

Step-by-step explanation:

Kruka [31]3 years ago
5 0
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.
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The legs of a right triangle are 2 and 3. Find the exact value (no decimals) of the hypotenuse.
AVprozaik [17]
A^2 +b^2 =c^2
2^2 + 3^2
4+9=13
The hypotenuse is equal to the square root of 13
5 0
3 years ago
:
alina1380 [7]

Answer:

60$ will be left

Step-by-step explanation: 30x8 = 240. subtract 300-240 and you get 60

8 0
3 years ago
Read 2 more answers
In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of
tigry1 [53]
Let x = liters 20% solution to be added
then

.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters


Hope this helped!!
3 0
2 years ago
I don’t know how to find the LCM for this.
nekit [7.7K]

Answer:

B

Step-by-step explanation:

7mn³|7m²n³ ---14mn^5

       | m---2n²

LCM=7mn³×m×2n²

=14m²n^5

or LCM of 7,14 =14

Highest power of m=2

Highest power of n=5

LCM=14m²n^5

6 0
3 years ago
What polynomial has a graph that passes through the given points?
Evgen [1.6K]
The answer is <span>B. y = x^3 + 4x^2 + 2x - 2 

A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:

</span>B. y = x³ + 4x²<span> + 2x - 2 
Point 1: </span><span>(-2, 2) 
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____

Point 2: (-1, -1) 
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2 
-1 = -1
____

Point 3: (1, 5) 
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____

Point 4: (3, 67) 
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67

So, line B passes through all choices.
3 0
2 years ago
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