Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4​

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit

Step-by-step explanation:

thats my answer thankyou

mark me as BRAINLIEST

follow me

carry on learning

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{✤ \: FIRST ,\: MEMORISE \: THESE}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{⋆ \: (x - 5) ^{2} }}[/tex]

[tex] \large{ \tt{↦ {x}^{2} - 2 \times x \times 5 + {5}^{2} }}[/tex]

[tex] \boxed{ \large{ \tt{↦ \: {x}^{2} - 10x + 25 }}}[/tex]

And we're done! ♡

[tex] \large{ \# \: \mathfrak{StayInAndExplore \: ☂}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

12/5

Step-by-step explanation:

The total number of students divided by the number of students who prefer dogs.

Mathematically:

48/20

=12/5

Therefore, that's the probability

Answer: x=32

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

Since we know a=10 the other two angles must add up to 170 degrees.

[tex]2x+3x=170[/tex]

We can now solve for x

[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]

We can sub in x to both angles to see if they angles add up to 180

[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]

Answer:

284 u^3

Step-by-step explanation:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answer:

f(x)=3x+2 what is f(5)

f(5)=3(5)+2 = 17

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]f(5)=17[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

the answer is D

BECAUSE it satisfied the conditions

Answer:

58

Step-by-step explanation:

a = 27, b = -10 and c = 40

= a - (6 - c) + (a - b) - C

= 27 - (6 - 40) + (27 - (-10)) - 40

= 27 - (-34) + (37) - 40

= 27 + 34 + 37 - 40

= 58

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{a - (6 - c) + (a - b) - c}[/tex]

[tex]\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}[/tex]

[tex]\large\textsf{6 - 40 = \bf -34}[/tex]

[tex]\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}[/tex]

[tex]\large\textsf{= 27 + 34 + 27 + 10 - 40}[/tex]

[tex]\large\textsf{27 + 34 = \bf 61}[/tex]

[tex]\large\textsf{= 61 + 27 + 10 - 40}[/tex]

[tex]\large\textsf{61 + 27 = \bf 88}[/tex]

[tex]\large\textsf{88 + 10 - 40}[/tex]

[tex]\large\textsf{88 + 10 = \bf 98}[/tex]

[tex]\large\textsf{98 - 40}[/tex]

[tex]\large\textsf{= \bf 58}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

32 ÷ 8 = 4 :D

4x8 = 32

32 divided by 4 is 8. 8 is your answer.

Answer:

(a) -12

(b) 37

(c) -840

Step-by-step explanation:

We simply have to plug in the values for each expression.

2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12

5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37

7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

Answer:

The slope should be -3.

Step-by-step explanation:

:)

Answer:

No

Step-by-step explanation:

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to

[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

[tex]d=10\sqrt{2}[/tex]

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

Answer:

first option is correct

Step-by-step explanation:

3x+12+x=180 degree (being linear pair)

4x+12=180

4x=180-12

x=168/4

x=42

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

Answer:

B

Step-by-step explanation:

Hope it helps and if you need explanation let it in the comments

Answer:

B

Step-by-step explanation:

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

Answer:

[tex]y=120 * 1.1^x[/tex] --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

[tex]x \to months[/tex]

[tex]y \to mice[/tex]

So, we have:

[tex](x_1,y_1) = (0,120)[/tex] --- Monday

[tex](x_2,y_2) = (1,132)[/tex] --- One month later

Required

The function

The function is represented as:

[tex]y=ab^x[/tex]

In [tex](x_1,y_1) = (0,120)[/tex], we have:

[tex]120 = a * b^0[/tex]

[tex]120 = a * 1[/tex]

[tex]120 = a[/tex]

[tex]a=120[/tex]

In [tex](x_2,y_2) = (1,132)[/tex], we have:

[tex]132 = a * b^1[/tex]

[tex]132 = a * b[/tex]

Substitute: [tex]a=120[/tex]

[tex]132 = 120 * b[/tex]

Solve for b

[tex]b = \frac{132}{120}[/tex]

[tex]b = 1.1[/tex]

So, the function is:

[tex]y=ab^x[/tex]

[tex]y=120 * 1.1^x[/tex]

To calculate the monthly rate (r), we have:

[tex]y =a(1 + r)^x[/tex]

Compare to: [tex]y =ab^x[/tex]

[tex]1 + r = b[/tex]

Make r the subject

[tex]r = b-1[/tex]

Substitute [tex]b = 1.1[/tex]

[tex]r = 1.1-1[/tex]

[tex]r = 0.1[/tex]

Express as percentage

[tex]r = 0.1*100\%[/tex]

[tex]r = 10\%[/tex]