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pickupchik [31]
3 years ago
6

1. What values of a, b, and c would you use in the quadratic formula for the following equation?

Mathematics
2 answers:
Archy [21]3 years ago
8 0
Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4

Question (2):
The given expression is:
 -5 + 2x²<span> = -6x 
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)

Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.

Hope this helps :)

ollegr [7]3 years ago
3 0
1.) a=5, b=9, c=-4
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm

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3 years ago
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JulijaS [17]
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6 0
2 years ago
Solve for n. <br><br>0= 1+n ​
maks197457 [2]

Answer:

n = -1

Step-by-step explanation:

To make n on its own, you have to subtract 1 from both sides

0 - 1 = -1 + 1 + n

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6 0
3 years ago
A box contains 144 marbles, which are either red or blue. if there are 3 times as many red marbles as there are blue marbles in
kicyunya [14]
Given:
X: The blue marbles.
3X: The red marbles.
A box contains 144 marbles.
SOLVING:
X + 3X = 144
4X = 144
X = \frac{144}{4}
X = 36 ===> The blue marbles.

If there are 3 times as many red marbles as there are blue marbles:
3(36) = 108 ===> The red marbles. SOLUTION

TESTING:
36+108=144
\boxed{144}=\boxed{144}\quad\checkmark\ The\ value\ is\ correct.
GOOD LUCK...!!!
3 0
3 years ago
Systems of equations with different slopes and different y-intercepts have more than one solution.
FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.

7 0
3 years ago
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