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a) (x+3)²+(x-2)²=2x²

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Explanation:

We see that the function passes the horizontal line test. It is impossible to draw a single horizontal line and have that horizontal line cross the curve at multiple points. It's similar to the vertical line test.

Since the curve passes the horizontal line test, that makes it one-to-one. Any y value is paired with a unique x value, and vice versa.

The function is also onto because we can generate any y value output we want. The curve extends forever upward and downward. The range is the set of all real numbers.

Therefore, the function is both one-to-one and onto.

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Extra info:

Answer:

TO place the triangle ABC on EDF flip the triangle so the you get the mirror image of the triangle and then place it on top of the triangle EDF

hope this helps!

Answer:

When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection.

if my answer helps you than mark me as brainliest

Answer:

Step-by-step explanation:

[tex](x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\[/tex]

Answer: Hope this helps :)

Step-by-step explanation:

a) =Let the boys be x

girls = x-10

so

x + x - 10 = 50

or, 2x = 60

so, x = 30

boys = 30

girls = 30-10 = 20

Therefore, 30 boys participated in the activity.

b) = Let the zilong's stamp be x and miya's stamp be y

so

first

x+y = 40

y = 40-x

now

x - 10 = 2y

x-10 = 2(40-x)

x-10 = 80-2x

or, 3x = 90

so, x = 30

then y = 40-x

        y = 40-30 = 10

Therefore, Zilong had 30 stamps and Miya had 10 stamps before.

Answer:

d: x3R

Step-by-step explanation:

Step 1: What is asked

A domain is for what values of x in the graph is defined such as when y = 2, x is equal to 2.

Step 2: Solve

Since this is a linear equation the domain would be every x value do it would be: d: x3R (x belongs to all real numbers)

Answer:

the answer is in given bellow:

605500.

Answer: Between 14 and 18 years

Step-by-step explanation:

There are no dots in that area.

[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]

[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]

[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]

[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]

[tex]\\ \rm\longmapsto 2^m=4^m[/tex]

[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]

[tex]\\ \rm\longmapsto 2^m=m[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]

Answer:

please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Answer:

a₁ = - 16 , a₂₁ = 24

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 14 , then

a₁ + d = - 14 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given S₂₁ = 84 , then

[tex]\frac{21}{2}[/tex] [ 2a₁ + (n - 1)d ] = 84 ( multiply both sides by 2 )

21(2a₁ + 20d) = 168 ( divide both sides by 21 )

2a₁ + 20d = 8 → (2)

From (1) d = - 14 - a₁ ← substitute into (2)

2a₁ + 20(- 14 - a₁) = 8 , that is

2a₁ - 280 - 20a₁ = 8

- 18a₁ - 280 = 8 ( add 280 to both sides )

- 18a₁ = 288 ( divide both sides by -18 )

a₁ = - 16

Substitute a₁ = - 16 into (1)

- 16 + d = - 14 ( add 16 to both sides )

d = 2

Then

a₂₁ = - 16 + 20(2) = - 16 + 40 = 24

Answer:

39/60 is a rational number halfway b/w the given numbers.

Step-by-step explanation:

Add both of these numbers and then divide the result by 2.

(1/3+3/10)/2

=((30+9)/30)/2

=(39/30)*1/2

=39/60

Answer:

C and E

Step-by-step explanation:

[tex]3 \tan( \beta ) = 2. \: \: \: \: \tan( \beta ) = \frac{2}{3} [/tex]

[tex] \frac{h}{x} = \tan( \beta ) = \frac{2}{3} [/tex]

[tex]if \: \: h = 2 \: \: \: x = 3 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + x } [/tex]

C. [tex]t = \sqrt{13} [/tex] ✅

○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○

[tex] if \: \: \: h = 4 \: \: \: \: x = 6 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + {x}^{2} } [/tex]

E. [tex]t = 2 \sqrt{13} [/tex] ✅

Answer:

D

Step-by-step explanation:

thank uu

Answer:

the yellow answer is false; second answer

Step-by-step explanation:

Answer:

It is 10²

Step-by-step explanation:

[tex] \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} [/tex]

Answer:

10²

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Then

[tex]\frac{10^{3}.10^{4} }{10^{5} }[/tex]

= [tex]\frac{10^{(3+4)} }{10^{5} }[/tex]

= [tex]\frac{10^{7} }{10^{5} }[/tex]

= [tex]10^{(7-5)}[/tex]

= 10²

Answer:

1

Step-by-step explanation:

x + 2x + 3x = 6

Add the like terms,

6x = 6

=> x = 6/6

=> x = 1

Step-by-step explanation:

x+2x+3x=6

x+5x=6

6x=6

x=6÷6

x=1

Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

Answer:  Choice B

Work Shown:

[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]

This says that x is between 1 and 4; it can equal 1, but it can't equal 4.

To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Answer:

6

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 3: 3, 6, 9, 12, 15

Brainliest, please!

Answer:

81-1 nine

90-81

9

Step-by-step explanation:

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you[/tex]

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

Step-by-step explanation:

(35-99):99*100 =

(35:99-1)*100 =

35.353535353535-100 = -64.65

Percentage change from 99 to 35 is -64.64% .

Negative sign indicates that the number is decreased from the initial value.

Percentage change : When a number is increased or decreased from its original value is termed as percentage change.

Given, that number changes from 99 to 35.

Formula of percentage change  =  [tex]\frac{Final - Initial}{Initial}[/tex] × [tex]100[/tex]

Final number = 35

Initial number = 99

Substitute the values in the above formula,

Percentage change = [tex]\frac{35 - 99}{99} *100[/tex]

Percentage change = -0.6464 *100

Percentage change = -64.64%

Negative sign indicates that the number is decreased from the initial value.

Know more about percentage change,

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