A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.

Answer:

C and G

Step-by-step explanation:

Given

(x - 2)² = - 3x + 6 ← expand left side using FOIL

x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 → G

x + 1 = 0 ⇒ x = - 1 → C

Answer:

[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]

Step-by-step explanation:

First find the pattern.

1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.

if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.

I would next try only adding to the numerator and denominator separately.  

so 1/3 gets 3 added to the 1 and 4 added to the 3.  Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3.  So that is the right answer.

So we know what is happening.  if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term  is when n=1 and we want that to cancel out.  You can also simplify it and get (3n-2)/(4n-1)

Let me know if it doesn't make sense.  

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

Answer:

D. 9h

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cuboid Formula: V = a²h

Step-by-step explanation:

Step 1: Define

Identify variables

a = 3

h = h

Step 2: Find Volume

Answer:

D. 9h

Step-by-step explanation:

Volume of a cube = Length × Width× Height

= 3×3×h

= 9h

Answer:

The answer is A - 5×9 I think so..

Answer:

Step-by-step explanation:

If the function is

[tex]y=x^2-4x[/tex], then its derivative is

y' = 2x - 4. This is equal to 0 where

2x - 4 = 0 and

2x = 4 so

x = 2. When x = 2 in the original equation:

[tex]y =2^2-4(2)[/tex] so

y = -4. So the coordinate is (2, -4). On to the next one:

If the function is

[tex]y=25x +\frac{1}{x}[/tex] then its derivative is

[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where

[tex]25-\frac{1}{x^2}=0[/tex] and

[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:

[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so

[tex]25x^2=1[/tex] and

[tex]x^2=\frac{1}{25}[/tex] so

x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so

x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates

[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]

Answer:

5%

Step-by-step explanation:

5 customers ordered large cold drinks so the probability would be 5/100

To convert 5/100 to percent, just do 5/100 x 100%

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Answer:

2nd option

Step-by-step explanation:

Using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = [tex]\frac{3}{2\sqrt[3]{x} }[/tex] = [tex]\frac{3}{2x^{\frac{1}{3} } }[/tex] = [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{1}{3} }[/tex] , then

f'(x) = - [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{4}{3} }[/tex]

      = - [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{x^{\frac{4}{3} } }[/tex]

      = - [tex]\frac{1}{2x^{\frac{4}{3} } }[/tex] = - [tex]\frac{1}{2\sqrt[3]{x^4} }[/tex] [ Note there should be a leading negative ]

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Answer:

2700÷9=300

300×2=600liters yellow paint

Answer:

cube

Step-by-step explanation:

prisms are 3d figures just like cubes are

the other options are just 2d figures

[tex]\huge\tt\pink{Answer}[/tex]

C. Cube or Cuboid

A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism. A cuboid with six square faces is a cube, whereas a cuboid with at least two square faces is known as a square cuboid.

Answer:

5.348

Step-by-step explanation:

5 + 0.3 + 0.04 + 0.008

If you find this difficult to calculate put zeroes in Hundredths place and thousandths place

=> 5.000 + 0.300 + 0.040 + 0.008

=>5.348

Answer:

The length is 99 centimeters.

Step-by-step explanation:

The area of a rectangle is found by multiplying:

A = Length • width

We also know that the area of the rectangular painting is 5,049 cm^2

An equation to represent this is:

51w = 5049

To find w, divide:

5049/51 = 99

CHECK YOUR ANSWER:

Formula tor area of a rectangle:

Length x width

Use formula with the measurements:

99 x 52 = 5049

So the length is 99 centimeters.

HOPE THIS HELPS!

the answer of course is bobbies

Answer

the answer if b in the above

Answer:

m=-2

Step-by-step explanation:

You can only graph a system of linear equations.

Answer:

πr + (2l + b)

Step-by-step explanation:

The figure is a composite figure, consisting of a semicircle and a rectangle :

The perimeter of a rectangle is the sum of the sides ;

Perimeter of semicircle is the 2πr/2 (Circumference / 2)

For the triangle, we take the sum of 3 sides ;

Length + length + breadth = 2l + b

Hence, the perimeter is :

2πr/2 + 2l + b

πr + (2l + b)

Answer:

y = 3/2x - 5

Step-by-step explanation:

y = 3/2x + b

1 = 3/2(4) + b

1 = 6 + b

-5 = b

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Answer:

"D" only 1 & 2

Step-by-step explanation:

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

Answer:

379.94 in.²

Step-by-step explanation:

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2[/tex]

In the image, the diameter is shown.

To find the radius of a circle, divide the diameter by 2.

[tex]22/2=11[/tex]

The radius of this circle is 11 inches.

Next, multiply the radius by itself twice.

[tex]11*11=121[/tex]

Lastly, multiply the product by pi (3.14).

[tex]121*3.14=379.94[/tex]

Therefore, the area of this circle is 379.94 inches squared.

Answer:

27.44 in²

Step-by-step explanation:

The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.

We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].

This solves to 27.44 in².

**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!

Answer:

(I only know part A. sorry) The mean is 2.

Step-by-step explanation:

To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)

So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.

Answer:

yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr

Answer:

$36,575 is the new tuition

Answer:

Each raffle ticket cost $3.