Penny wrote the mixed number 4 2/7 as 8/7. Describe Penny's error, and EXPLAIN how she should of have written the improper fraction​

Answer:

1.1

Step-by-step explanation:

7.2-6.1

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

C

Step-by-step explanation:

[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]

so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]

Answer:

B. 3x² -17

Step-by-step explanation:

f(x)= 3x+1

g(x)= x² -6

(f °g)(x) =f(g(x)) so plug in in f for variable x²-6

(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17

Answer:

45 degrees

Method: Parallel

Answer: 2a*4*4*4*4= x (Vote me brainliest please)

Step-by-step explanation: Exponents are simply telling you to multiply the base number or expression by that many times.

Answer:

[tex] = 16 {a}^{4} \\ [/tex]

Step-by-step explanation:

[tex](2a) ^{4} [/tex]

[tex]2a \times 2a \times 2a \times 2a \\ = 16 {a}^{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

~

Answer:

the answer is 120 degrees

Answer:

In this way it is proved

Answer:

x, y, 4, 0

Step-by-step explanation:

To determine the inverse of the given function change f(x) to y switch x and y and solve for  y.

f(x) = sqrt(x - 4)

y = sqrt(x - 4)

x = sqrt(y - 4)

x^2 = y - 4

x^2 + 4 = y

y = x^2 + 4

The domain of the inverse is the same as the range of the original function.

inverse f(x) = x^2 + 4

x^2 + 4 >= 4

x^2 >= 0

x >= 0

The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.

Answer:

x, y, 3, and 0

Answer:

Step-by-step explanation:

S,wow,w,

Answer:

D

Step-by-step explanation:

A=bh

A=11.40*6.90

A=78.66 cm^2

Answer:

base x height = area

6.9 x 11.4 = 78.66

D. is the answer

Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

Answer:

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

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

2x and 5x are numbers with variables, 6 and 0 are whole numbers.

Then we can seperate them on different sides of the equal sign.

To do this, we have to subtract 6 on the left side and add it to the right side.

Now our equation will be 2x - 5x = -6.

Now we can simplify this.

Starting on the left side, 2x - 5x equals to -3x.

The right side can not be simplified.

So, our equation will now be -3x = -6.

Now we can divide both sides together.

The easiest way to do this is by turning the equation into a fraction.

So it will be [tex]\frac{-3}{-6}[/tex].

Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].

Hope this helped :)

Answer:

[tex]5b=2r[/tex]

Step-by-step explanation:

Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn

To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r

Solution:

As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,

number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]

[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]

Therefore,

equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]

Answer:

use the indices formula

Answer:

im pretty sure the second option is correct

Step-by-step explanation:

the open circle means the is greater than or equal to

since the arrow is pointing to the right that means that x is greater than

Answer:

2) 14 times  3) 210 times

Step-by-step explanation:

2) every second, a monarch butterfly will beat its wings 14 times

3) lets use the following formula

An=A1 +(n-1)d

A15= 14 + (15-1)14

A15= 14+14*14

A15= 14+196

A15= 210

210 times in 15 seconds

Answer:

1.76 tons

Step-by-step explanation:

12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.

Answer: equilateral y=60

Step-by-step explanation:

The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)

And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.

The value of y is 60° and the given triangle is Equilateral.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

We have a triangle where one of the angle is unknown.

Sum of the interior angles of a triangle is 180 degrees.

60° + 60° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Equilateral triangles are those triangles whose all sides and all angles are equal.

Isosceles triangles are those whose 2 sides or 2 angles are equal.

Since all angles are equal to 60° here, this is an equilateral triangle.

Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.

Learn more about Triangles here :

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Answer:

16

Step-by-step explanation:

Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.

An = A+(n-1)d

This shows that: A5 = 4+ 4(3) = 16.

Fifth term of the arithmetic sequence is 16.

"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."

Given

First term a1 = 4

Common difference d = 3

n = 5

Formula to find fifth term in the arithmetic sequence

[tex]a_{5} = a_{1} +(n-1)d[/tex]

[tex]a_{5}= 4+(5-1)3[/tex]

[tex]a_{5}= 4+(4)3[/tex]

[tex]a_{5}= 4+12[/tex]

[tex]a_{5}= 16[/tex]

Hence, fifth term of the arithmetic sequence is 16.

Learn more about arithmetic sequence here

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Answer:

c

Step-by-step explanation:

(3x+1)(x+6)

3x^2+18x+1x+6

Answer:

y=4

Step-by-step explanation:

A horizontal line has constant y values so it is of the form

y=

The point is (2,4) so the y value is 4

y=4

Answer:

9.14 m

Step-by-step explanation:

r=C

2π=57.43

2·π≈9.14027

____________________________

Solution,

Circumference of circle=57.43m

Radius=?

Now,

Circumference of circle=2 pi r

or,57.43=2*3.14*r

or,57.43=6.28*r

or,r=57.43/6.28

r=9.14 m

It's radius is 9.14m

Hope it helps

Good luck on your assignment

___________________________

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Answer:

Area of the rectangular pyramid is 82.8m²

Step-by-step explanation:

Given

Number of rectangle = 1

Number of triangles = 4

Dimension of Rectangle = Length = 6 metres; Height = 2 metres

Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres

Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres

Required

Area of the Rectangular Pyramid

To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;

Calculating the area of the rectangle;

Area = Length * Height

Area = 6m * 2m

Area = 12m²

Calculating the area of the first two triangles;

Base = 6 metres and Height = 8.8 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 6m * 8.8m

Area = 26.4m²

Area of two triangles = 2 * 26.4m²

Area of two triangles = 52.8m²

Calculating the area of the other two triangles;

Base = 2 metres and Height = 9 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 2m * 9m

Area = 9m²

Area of two triangles = 2 * 9m²

Area of two triangles = 18m²

The area of the pyramid is the summation of the above calculations;

Area of Rectangular Pyramid = 12m² +52.8m² + 18m²

Area = 82.8m²

Hence, the area of the rectangular pyramid is 82.8m²

Answer:

82.8

Step-by-step explanation:

I just took the test

Have a good day :)