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3 years ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

inysia [295]3 years ago

6 0

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

using the Quadratic Formula where:

a = 9, b = -6, and c = -6

and the formula is 6 +- $\sqrt{6^{2} } -4 (9)(6) /2 (9)$

You might be interested in

Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin

Kobotan [32]

Answer:

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

$ax^2+bx+c=0, a\neq 0$

Then to resolve a quadratic equation we apply Bhaskara's formula:

$x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}$

$x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}$

It usually has two solutions.

But it could happen that $\sqrt{b^2-4ac}$ then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

7 0

3 years ago

You and your sister share a car with your mom. You get to use the car every fourth day. Your sister gets the car every fifth day

nadya68 [22]

Answer:

20th day

Step-by-step explanation:

you: 4,8,12,16,20,24

sister:5,10,15,20,25

20 is the day where they meet

3 0

3 years ago

Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angl

Serhud [2]

Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

8 0

3 years ago

A ramp 18 ft long rises to a platform. The bottom of the platform is 13 ft from the foot of the ramp. Find x, the angle of eleva

Varvara68 [4.7K]

Answer:

The answer to your question is: Ф = 43.95°

Step-by-step explanation:

Data

length = 18 ft

distance bottom to is 13 ft

x = angle = ?

Formula

cos Ф = opposite side / hypotenuse

Process

cos Ф = 13 ft / 18 ft substitution

cos Ф = 0.72 simplify

Ф = cos⁻¹ (0.72)

Ф = 43.95° result

8 0

3 years ago

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links, only answe

Rufina [12.5K]

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

6 0

2 years ago