Evaluate the following function when x = 2: f(x) =x^2-x+2

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]

Answer is J

see the full solution in the photo

Answer:

J

Step-by-step explanation:

2(-1^2) - 4(-2) +6

=2 (1) +8 +6

=2+8+6

=16

Answer:

53

Step-by-step explanation:

We can use the Pythagorean Theorem to find x.

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Where "a" and "b" represent the legs and "c" represents the hypotenuse of the right triangle.

Let's substitute the given lengths into the equation:

[tex]28^2+45^2=x^2\\784+2025=x^2\\x^2=2809[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{2809}[/tex]

[tex]x=53[/tex]

Answer:

fraction is called as the part of a whole

Step-by-step explanation:

Given,

x = 4

2x - 4y = 20

Now,

2x - 4y = 20

or, 2×4 - 4y = 20

or, 8 - 4y = 20

or, -4y = 20 - 8

or, y = 12/-4

or, y = -3

therefore, y = -3

Answer:

(x,y)=(4,-3)

Step-by-step explanation:

2x-4y=20

x=4

substitute the given value of x into the equation

2×4-4y=20

solve the equation for y

y=-3

A possible solution of the system is the ordered pair

(x,y)=(4,-3)

CHECK SOLUTION!

2×4-4×(-3)=20

4=4

simplyfy the quality

20=20

4=4

since all of the qualities are true, the ordered pair is the solution of the system

(x,y)=(4,-3)

hey hi I hope this helps

Answer: Length  =  9.434

Step-by-step explanation: Input Data :

Point 1

(

x

A

,

y

A

)

= (-4, 5)

Point 2

(

x

B

,

y

B

)

= (4, 0)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =

√

(

x

B

−

x

A

)

2

+

(

y

B

−

y

A

)

2

Solution :

Distance between two points =

√

(

4

−

−

4

)

2

+

(

0

−

5

)

2

=

√

8

2

+

(

−

5

)

2

=

√

64

+

25

=

√

89

= 9.434

Distance between points (-4, 5) and (4, 0) is 9.434

Answer

Step-by-step explanation:

Question is not clear. Is 4y being divided only by 7z or is the whole expression (3x - 4y)?

Hello!

2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)

= 16u²  +  2uv²w  -2 + 10u² - 2v^6 -4v

=   2uv²w  - 2v^6  +  26u²   -4v -2      

Hello.

In order to solve a proportion, you should cross-multiply:

[tex]\displaystyle\frac{7}{x} =\frac{5}{9}[/tex]

Multiply 7 times 9 and 5 times x:

5x=63

Divide both sides by 5:

x=[tex]\displaystyle\frac{63}{5}[/tex]

Now let's solve the second proportion.

Multiply 8p times 6 and 12 times 15:

48p=180

Divide both sides by 48:

p=3.75

I hope it helps.

Have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

Answer:

First place a mark at your point. (x=2, y=3)

Step-by-step explanation:

Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.

i cant understand it much.

Answer:

Step-by-step explanation: Jordan's batches have 18 muffins a piece he made 7 bathes so 7 times 18 equals 126 muffins. Raj's batches have 15 muffins per batch which he also makes 7 batches of so 7 times 15 is 105. The boys then add all their muffins together so 126 muffins plus 105 muffins is 231 muffins. They then have to divide the muffins into boxes that can hold up to 6 muffins each so  you are dividing 231 divided by 6 so the answer is 38 full boxes and 3 muffins left in the last box ( I just took the test and that was the answer)

Answer:

D, it admits 4 complex roots

Step-by-step explanation:

Based on what you've written;

f(x) can be rewritten by adding the light terms together as;

f(x)=2x⁴-16x+1768.68

By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;

we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.

So your answer must be D.

ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,

f(x)=2x⁴-9.32x³+1772x²-16x+6

This equation also admits 4 complex roots and does not intersect the x-axis

Answer:

a=57 b=62

Step-by-step explanation:

u⁰=52

u¹=a

u²=b

u³=67

Use the explicit relation given by:

u(n)=u⁰+nd

where n is any term and d is the common difference.

u³=u⁰+3d

67=52+3d

3d=67-52

d=15/3

d=5

a=52+5=57

b=a+5=62

67=b+52=62+5=67 (just to make sure of the answer)

Let's plug in both x and y values in the equation and check if the inequality is true...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 4 and y as 1

[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]

[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]

[tex]0 \leqslant 5 \\ 1 < - 3[/tex]

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 0 and y as -3

[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]

Thus, Option B (0,-3) is the correct choice....

Answer:

x=7

Step-by-step explanation:

4x-8=2x-6

4x-2x=-6+8

2x=-14(divide both the sides by 2)

x=7

Answer: 29 with the Remainder of 4

Step-by-step explanation:

Answer:

29 Remainder 4

Step-by-step explanation:

Answer:

  D.  20 cm

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

__

For the dimensions given, we have ...

  15000 cm³ = (30 cm)(25 cm)H

  15000/750 cm = H = 20 cm

The height of the box is 20 cm.

Answer:

1.20 ÷ 4 = 0.30 per unit

Please mark as brainliest;)

Answer:

X+22°=90°

X=90°-22°

X=68°

Answer:

-3

Step-by-step explanation:

4(2a +3)<3(a - 1)

8a +12 <3a - 3

8a - 3a <-3 - 12

5a<-15

a<15 :5

a<-3

Answer:

Step-by-step explanation:

4(2a+3) =3(a-1)

simplify

8a+12 =3a-3

-12 on the 12 and -3

8a=3a-15

add 15 to the 15 and 8

13=3a

always divide by the variable so 3 divide by 3 and 3 divide by 13

A= 4.3

After nine weeks Amir would have enough to buy the MP3

It will take Amir 9 weeks to save enough money for the MP3 player

Answer:

37.5% of his cards

Step-by-step explanation:

i d k how many cause you didnt give a starting number.

Answer:

30 × 24 = 720 inches

since there are 12 inches in a foot

720 ÷ 12 = 60

60 feet converted to yards is 20 yards

50 - 20 = 30

they should have 30 yards of string left over

Step-by-step explanation:

I explained your answer in the sent photo

Answer:

i think c no is the correct answer

Answer:

y-3=3(x-4)

Step-by-step explanation:

Hi there!

We are given that a line intersects the points (4, 3), and (6, 9)

The slope of this line is 3

And we want to write an equation in point-slope form using (4, 3)

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We already have one point of the equation filled out -- the [tex]y_1[/tex], which in this case, is 3;

Our current equation is:
[tex]y-3=m(x-x_1)[/tex] (n.b. I put m and [tex]x_1[/tex] as place holders)

Before we proceed though, let's label the values of the other things (m and [tex]x_1[/tex]) to avoid confusion:
[tex]x_1=4\\m=3[/tex]

Now we can substitute these into the equation:

y-3=3(x-4)

Hope this helps!

See more on writing equations in point-slope form here: https://brainly.com/question/1616074

Answer:

[tex]Hence,\ the\ equation\ is\ \fbox{$y-3=3(x-4)$}\[/tex]

Step-by-step explanation:

            [tex]Given,[/tex]
                [tex]points=\left(4,3\right)R\left(6,9\right)[/tex]

     [tex]To\ find!-the\ equation\ of\ line.[/tex]

[tex]Solution:-We\ know\ that\ the\ slope\ of\ the.[/tex]
                   [tex]line\ is\ given\ by[/tex]

     [tex]slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]m=\frac{9-3}{6-4}=\frac{6}{2}=3[/tex]

  [tex]The\ equation\ of\ line\ in\ point-slope\ form[/tex]
     [tex]using\ the\ point\ \left(4,3\right)\ will\ be[/tex]
  [tex]y-y_1=m\left(x-x_1\right)[/tex]
  [tex]y-3=3\left(x-4\right)[/tex]

I hope this helps you

:)

Answer:

D [tex]\angle O\cong\angle S[/tex]

Step-by-step explanation:

[tex]\angle O\cong\angle S[/tex]

Hope it helps you in your learning process.

The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The loudness (L) measured in decibels (Db), of sound intensity (I), measured in watts per square meter, is defined as

[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]

where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be

[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

A

Step-by-step explanation: