Use synthetic division to evaluate f(x)=x^3-2x^2+4x+3 for x=2 . f(2)=
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Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

The liters of milk  litres you can buy with $20 is mathematically given as

v=22.8571L

Question Parameter(s):

Suppose milk is selling for 87.5¢ per litre

Generally, the equation for the Volume of milk  is mathematically given as

1=87.5c

v=20,00c

Therefore

v=2,000/87.5

v=22.8571

In conclusion, volume of milk

v=22.8571L

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The limit of the function as the variable n tends to minus infinity is -1. Option C is correct

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by n³

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Answer:

[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]

Step-by-step explanation:

Given that:

Distance traveled by seal to catch the fish = 15 below sea level

Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.

To find:

The expression to represent the position of the sea lion in the sea.

Solution:

If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:

Twice of [tex]D[/tex] = [tex]2\times D[/tex]

6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6

Now, putting the value of [tex]D[/tex] = 15

Therefore, the expression to represent the sea lion's position w.r.to sea level.

[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]

Answer:

Step-by-step explanation:

[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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The graph based on table is drawn in picture.

A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.

A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.

In the question given,

scale on x-axis is 0 to 10 with the interval of 1

thus, points on x axis are 0,1, 2, 3, ----,10

scale on y-axis is 0 to 5000 with the interval of 500

thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000

The grid graph is shown in picture .

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Answer:

We can use the Pythagorean theorem to solve this:

The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:

c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.

Now that we have an equation we can solve:

c^2=8^2+8^2

c^2=64+64

c^2=128

Since there is no perfect square for 128 we need to put in in simplest radical form

c=√128

Find a number that has a perfect square and multiplies by another number to equal 128

c=√64 x 2

This can be rewritten as so:

c=√64√2

Now for the last step find another perfect square for 64 and have it outside the square like so:

c=8√2

There is no perfect square for 8 so this is in simplest radical form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer: ME

Step-by-step explanation:

The height above Earth's surface that the boulder rests is 3.16m.

Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .

Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.

Formula of potential energy :

PE = mgh

where, PE = gravitational energy / potential energy

           m = mass of object

           g = gravitational acceleration

           h = vertical height  of object

According to question given:

PE = 15500J

m = 500kg

g = 9.8

As PE = mgh

therefore, h = PE / mg

i.e. h = 15500 / (500)(9.8)

     h = 3.16m

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Answer:

42

Step-by-step explanation:

i said so

The restaurant charge 775 $ in total for a private party with 45 guests.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total number of guest is x;

and, the Total Cost of Hosting a Private Party be y;

here it is given that :

A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :

y = 15x + 100

Now, for 45 number of guests that is x = 45, then y will be :

y = 15x + 100

y = 15 x 45 + 100

y = 675 + 100

y = 775 $

Thus, the restaurant charge 775 $ in total for a private party with 45 guests.

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Answer:

360g plain flour

3 eggs

900ml milk

Step-by-step explanation:

To make 4 pancakes you would do 240g÷2=120g

2 eggs÷2=1

600ml÷2=300ml

all this makes a total of 4 pancakes.

to make 12 pancakes you do 4×3 soo..

120g×3=360g

1×3=3

300ml×3=900ml

Answer:

CORRECT!!!!!!!!!

Step-by-step explanation:

Answer:

Your right!

(づ￣ 3￣)づ

I hope this helps! (❤´艸｀❤)

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]

  Let width = x inches

     Length =  2*x = 2x inches

                 Perimeter = 90 inches

2 *length  + 2* width = 90

            2*2x  + 2*x     = 90

                   4x + 2x    = 90

Combine like terms,

                             6x = 90

Divide both sides by 6,

                                x = 90/6

                                x = 15

Dimensions:

Width = 15 inches

Length = 2*15 = 30 inches.

Answer:

118

Step-by-step explanation:

(100 + 400 + 20 + 40 + 30)/5

= 590/5

= 118

Answer:

118

Step-by-step explanation:

100+400+20+40+30= 590

then 590/5= 118

Find the slope first by using rise/run

[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]

[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]

Answer:

17.23

Step-by-step explanation:

Answer:

88 questions

Step-by-step explanation:

86/0.98 = 87.755

pls mark brainliest :D

Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-3)=-2(x-(-5))[/tex]

[tex]y+3=-2(x+5)[/tex]

[tex]y+3=-2x-10[/tex]

Subtracting 3 from both sides, we get

[tex]y=-2x-10-3[/tex]

[tex]y=-2x-13[/tex]

So, the equation of line is [tex]y=-2x-13[/tex].

Putting x=0, we get

[tex]y=-2(0)-13[/tex]

[tex]y=0-13[/tex]

[tex]y=-13[/tex]

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.

Answer:

0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

[20 + (2.5 × 3)] - 27

Step 2: Evaluate

Answer: the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-20-------------------------------------0-------------------------------------20

moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.

HOPE THIS HELPS <3333

-Silver

Answer:

Slope is -7/4

The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B

-9x^8 / y^10

Check all that applies:

x^8 / (9×y)^10

= x^8 / 9y^10

No

-(9×x)^8/y^10

= -9x^8 / y^10

Yes

1/(9×x)^8 × y^10

= 1 / (9x^8) × (y^10)

No

Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".

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Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4