Order the steps to solve the equation log(x2 − 15) = log(2x) form 1 to 5.

Answer:

± 189

Step-by-step explanation:

let the number be x then multiplied by itself is x² , so

x² = 567 × 63 = 35721 ( take the square root of both sides )

x = ± [tex]\sqrt{35721}[/tex] = ± 189

The number can be 189 or - 189

The value of the certain number  is mathematically given as

x=17860.5

Question Parameters:

Certain number which when multiplied by itself gives the same value as 567×63​

Generally the equation for the statement   is mathematically given as

x*x=567×63​

Therefore

2x=567×63​

x=17860.5

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This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

Answer:

no we cannot because when we solve x-2=5 it gives x=7 and x+3=5 gives x=2 if we place the x value as 7 then it does not justify (x-2)(x+3)=5, if we put x= 2 then again it does not justifies (x-2)(x+3)=5

Step-by-step explanation:

x-2=5

x=5+2

x=7

x+3=5

x=5-3=2

putting x=7 in given equation

(7-2)(7+3) is not equal to 5

putting x=2 in given equation

(2-2)(2+3) is not equal to 5

that's why we can't solve

1/2 x² + x + 3/2 is the correct answer......

Answer:

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]

Answer: R= 6.15

Step-by-step explanation:

i did it on a piece of paper

The fraction of the box of pancake that eliza used is; 1/8.

We are told that the box of pancake mix has 6 cups.

Now, Eliza uses 3/4 of a cup for a recipe.

Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;

(3/4)/6 = 3/24 = 1/8

In conclusion, the fraction of the box of pancake that eliza used is 1/8.

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Check the picture below.

We can conclude that -

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

Given is a parallelogram ABCD.

Now, we can state that -

∠A = ∠C

(y + 10) = (2y - 40)

y + 10 = 2y - 40

y = 50

{Opposite angles are congruent}

(4x) + (2y - 40) = 180

4x = 180 - 60

4x = 120

x = 30

{Consecutive angles are supplementary}

Therefore, we can conclude that -

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Answer:

  4x^3 -12x^2 +17x -12

Step-by-step explanation:

Use the distributive property, and collect terms.

  (2x -3)(2x^2 -3x +4)

  = 2x(2x^2 -3x +4) -3(2x^2 -3x +4)

  = 4x^3 -6x^2 +8x -6x^2 +9x -12

  = 4x^3 -12x^2 +17x -12

Answer:

Beyond his military accomplishments, Genghis Khan also advanced the Mongol Empire in other ways. He decreed the adoption of the Uyghur script as the Mongol Empire's writing system. He also practised meritocracy and encouraged religious tolerance in the Mongol Empire, unifying the nomadic tribe Northeast Asia .

Step-by-step explanation:

Hope This Helps :)

The perimeter of an object is the sum of all sides.

a book is a rectangle which has 4 sides. 2 sides would be the length and 2 sides would be the width.

Set up the equation:
70 = 20 + 20 + x + x

Simplify

70 = 40 + 2x

Subtract 40 from both sides

30 = 2x

Divide both sides by 2

X = 15

The width of the book is 15 cm

Apply BPT theorem or Thales theorem

So

And

Option A

I think x is 33

that's your answer

Answer:

50

Step-by-step explanation:

2(5)^2=2(25)=50

Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

Answer:

-4x - 17y + 12

Step-by-step explanation:

I combined like terms

-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1

= -4x - 17y + 12

Answer:

2,340,208.5 or 2,340,209

Step-by-step explanation:

You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times.  But that would take a while.

we got 1.05 because the formula says that y = a( 1 + r ) power t

for a we will give it 1

so y = 1 ( 1 + 0.05) power t

it will give us 1.05

to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.

So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209

Answer:

Since rational numbers can be written as a ratio, such as a/b, then irrational numbers can not be written that way.

Step-by-step explanation:

Square roots of non-perfect squares are irrational numbers because they are non-terminating and non repeating decimals

Answer:

the first graph is 3:2

the second is 3:1 or 2:1 i'm not 100% sure on that one

the third is 1:1

Step-by-step explanation: I took the test and got it right

I hope this helps:)

A ratio shows us the number of times a number contains another number. The ratio of DE to EF is 3:2. The ratio of DE to EF is 3:1.

A ratio shows us the number of times a number contains another number.

1.)

DE = √(6² + 3²)

     = √45

     = 3√5

EF = √(4² + 2²)

     = √20

     = 2√5

Ratio = 3√5 / 2√5 = 3/2

Hence, the ratio of DE to EF is 3:2.

2.)

PQ = √(6² + 3²)

     = √45

     = 3√5

QR = √(1² + 2²)

     = √5

Ratio = 3√5/√5 = 3:1

Hence, the ratio of DE to EF is 3:1.

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Answer:

your answer you may be looking for are:

A. 73.58

B. 588.64

Answer: I THINK ITS (-10/8)

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

11^2+10^2=x^2

121+100=x^2

221=x

nearest 100th would be 200

To find area of first figure:

[tex] \\ [/tex]

As it is given in question shaded shape is made by joining a square and a rhombus. It is clearly visible that the first figure is square.

[tex] \\ [/tex]

So to find Area of a Square:-

We know :-

Area of square = side²

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢ Area of square = side²

[tex] \\ [/tex]

⇢ Area of square = side × side

[tex] \\ [/tex]

⇢ Area of square = 5 × 5

[tex] \\ [/tex]

⇢ Area of square = 25 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 25 cm²

[tex] \\ [/tex]

To find area of second figure:

[tex] \\ [/tex]

So we have find area of square and now as in question given next shape is rhombus.

[tex] \\ [/tex]

There are two Formulas of rhombus :

[tex] \\ [/tex]

We have to use second formula as Digonals aren't given :

⇢ Area of rhombus = Base × Height

[tex] \\ [/tex]

⇢Area of rhombus = 4.5 × 5

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 5)/10

[tex] \\ [/tex]

⇢Area of rhombus = (45 × 1)/2

[tex] \\ [/tex]

⇢ Area of rhombus = 45/2

[tex] \\ [/tex]

⇢ Area of rhombus = 22.5 cm²

[tex] \\ [/tex]

Therefore Area of first figure is equal to 22.5 cm²

[tex] \\ [/tex]

Area of whole shaded figure:

⇢A = Area of first figure + Area of second figure

[tex] \\ [/tex]

⇢ A = 25 + 22.5

[tex] \\ [/tex]

⇢ A = 47.5 cm²

[tex] \\ [/tex]

Therefore Area of whole shaded figure is equal to 47.5 cm².

Answer:

A

trust me

have a good day brainliest and 5 star please :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex] \huge \boxed{ \tt2\dfrac{1}{8}}[/tex]

Step-by-step explanation

[tex] \sf \rightarrow4 \dfrac{7}{8} - 2 \dfrac{3}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow\dfrac{39}{8} - \dfrac{11}{4} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{ \frac{39 \times 8}{8} - \frac{11 \times 8}{4} }{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39 - 11 \times 2}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{39-22}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow \dfrac{17}{8}[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrow 2\dfrac{1}{8}[/tex]

Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13  and g(x) = x+2 is 7x+27.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

f(x) = 7x+13

g(x) = x+2

In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).

[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]

Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.

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Answer:

Step-by-step explanation:

At Step 2 you subtract 1/2 from both sides of the equation:

Its justification is therefore is:

The scale factor used to create the dilated Triangle M'S'V is 2/3.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k. If k > 1, it is an increment whereas if k < 1, it is a decrease.

Triangle MSV has vertex at M(-3, 3) while that of M'S'V' has vertex at M'(-2, 2). Hence the scale factor is 2/3

The scale factor used to create the dilated Triangle M'S'V is 2/3.

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Answer:

the quotient of 9 and 14

= [tex]\frac{9}{14}[/tex]

Answer:

the answer is 9 upon 14 (⁹/14)