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3 years ago

How to sovle f(x)=3x-6, for f(5)

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

Step-by-step explanation:

the f(x) is what the value of x is going to be for the equation. When you plug in 5 you get 3(5)-6. 15-6 is 9

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The team won 10 of its 30 games and lost the rest. What was the team's win-loss ratio?

hammer [34]

Answer:

10:20

Step-by-step explanation:

8 0

3 years ago

9) Find the equation of a mirror line to the points Q (1,2) and Q1 (-1,2)<br><br>

Harman [31]

Answer:

x = 0

Step-by-step explanation:

Q(1, 2 ) and Q1(- 1, 2 ) are both 1 unit from the y- axis

Q is 1 unit to the right of the y- axis and Q1 is 1 unit is 1 unit to the left of the y-axis, thus

The y- axis is the mirror line with equation x = 0

8 0

4 years ago

Which expression is equivalent to (16x^8y^-12)^1/2

MAVERICK [17]

Answer:

The equivalent expression is $\Rightarrow \dfrac{4x^4}{y^6}$

Step-by-step explanation:

Given: $(16x^8y^{-12})^{1/2}$

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

$\Rightarrow (16x^8y^{-12})^{1/2}$

Distribute the radical

$\Rightarrow 16^{1/2}\cdot x^{8\cdot 1/2\cdot y^{-12\cdot 1/2}$

$\Rightarrow 4\cdot x^4\cdot y^{-6}$

$\Rightarrow 4x^4y^{-6}$

Now we will simplify the negative exponent.

$\Rightarrow \dfrac{4x^4}{y^6}$

Hence, The equivalent expression is $\Rightarrow \dfrac{4x^4}{y^6}$

8 0

3 years ago

Use the quadratic formula to find both solutions to the quadratic equation given below 3x^2-x+5=0

lora16 [44]

For this case we have the following quadratic equation:

$3x ^ 2-x + 5 = 0$

We have to:

$a = 3\\b = -1\\c = 5$

The quadratic equation states that:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values we have:

$x = \frac {- (- 1) \pm \sqrt {(- 1) ^ 2-4 (3) (5)}} {2 (3)}\\x = \frac {1 \pm \sqrt {1-60}} {6}\\x = \frac {1 \pm \sqrt {-59}} {6}\\x = \frac {1 \pm \sqrt {59i ^ 2}} {6}\\x = \frac {1 \pm i \sqrt {59}} {6}$

We have two roots:

$x_ {1} = \frac {1 + i \sqrt {59}} {6}\\x_ {2} = \frac {1-i \sqrt {59}} {6}$

Answer:

$x_ {1} = \frac {1 + i \sqrt {59}} {6}\\x_ {2} = \frac {1-i \sqrt {59}} {6}$

7 0

3 years ago

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),

GarryVolchara [31]

The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

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6 0

2 years ago