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3 years ago

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Mathematics

2 answers:

elena55 [62]3 years ago

5 0

Answer:

250

5:15

true

i already helped you

White raven [17]3 years ago

3 0

Answer:

9- 4 hours 30 minutes

10- 250

11- False

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

Step-by-step explanation:

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

The Quadratic Formula: For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

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

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

6 0

3 years ago

Read 2 more answers

A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum

Lemur [1.5K]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Area of triangular base = 12 sq. inches

Height of a three dimensional object = 8 inches

We need to find the Volume of that object.

As we know that "Volume = Area of base × Height "

So, it becomes,

$Volume=12\times 8\\\\Volume= 96\ cubic.\ inches$

So, the volume of object is 96 cubic inches.

Hence, Option 'D' is correct.

4 0

3 years ago

Read 2 more answers

Make it 0 on one side x2 - 2x + = 4(x2-2x +1)-3

Shkiper50 [21]

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

-3x² +6x = 1

-3x² +6x -1 = 0

4 0

3 years ago

If x is 1/2 and y is 1/4.what is answer of 4x÷y

Bumek [7]

Answer:

Step-by-step explanation:

4x ÷ y

x = 1/2

y = 1/4

4(1/2) ÷ 1/4

4 × 1/2 = 2

2 ÷ 1/4

2 × 4 = 8

8 0

3 years ago

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The point Q(-6, 3) is reflected over the y-axis. What are the coordinates of the resulting

USPshnik [31]

Answer:

Q' = (6,3)

Step-by-step explanation:

You can think of this problem in two ways:

Graph:

I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.

Coordinates:

Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6

5 0

3 years ago