Find the slope of (3,-20), (5,8)

f(x)=2x^3-x^2+5 / x-1

f(3)=2(3)^3-3^2+5 / 3-1

f(3)=54-9+5 / 2

f(3)=50 / 2

f(3)=25

Answer:

x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

But above we said x cannot equal -2

so x = -1

The solution we said x cannot equal -2so x = -1

Step-by-step explanation:

-2/ ( x * (x+2)) = ( x+3) / ( x+2)

Using cross products

-2 ( x+2) = ( x+3) x* (x+2)

Divide each side by (x+2)   This means x cannot equal -2 because we are dividing by 0

-2 = x ( x+3)

Distribute

-2 = x^2 +3x

Add 2 to each side

0 = x^2 + 3x+2

Factor

0 = ( x+2) (x+1)

Using the zero product property

x+2 = 0  x+1 = 0

x = -2    x = -1

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Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

Answer:

5+20x

Step-by-step explanation:

multiply 5 to 1 and 4x respectively

Answer:

$8.

Step-by-step explanation:

So, Chelsea started with $60.

She spend 3/5 of it to buy jeans. Therefore, the jeans' price were 3/5 of 60. In other words, the jeans were 3/5(60)=$36. Since she spend $36 to buy jeans, this means that she has 60-36=$24 left.

And she used 2/3 of $24 to go to the movies. 2/3 of 24 is 2/3(24)=$16. In other words, she spend $16 to go to the movies. This means that she has 24-16=$8 left.

Thus, after buying the jeans and going to the movies, she has $8 left.

Answer:

8 dollars left

Step-by-step explanation:

60 devided by 5 = 12

60 - 36 (three fifths) = 24

24 devided by 3 = 8

24 - 16 ( two thirds) = 8

Answer: y=50x+3.5

Step-by-step explanation:

50 because that is how many mph

3.5 because he already drove that amount

Answer:

y=50x+3.5

Step-by-step explanation:

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

Pythagorean Theorem:  If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse.  Alternatively, x^2 + y^2 = r^2.

The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order.  Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).    

Performing the indicated operations, we get:

         4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1.  Simplify this first by combining like terms:

         20x^2 - 16x = 16x^2, or

         4x^2 - 16x = 0, or

          4x(x - 4) = 0.  Thus, x = 0 (which makes no sense here) or x = 4.  

The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1.  Substituting 4 for x, we get

P = 8 + 16 - 1 + 16 + 1, or 40.

The perimeter of the triangle is 40.                        

Answer:

B. 4x2 + 9x – 28

Step-by-step explanation:

Multiply out the factors and see what polynomial you end up with.

(4x – 7)(x + 4) = 4x^2 + 16x - 7x - 28 = 4x^2 + 9x - 28

The polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To determine which polynomial has factors of 4x – 7 and x + 4, we can use the fact that if a polynomial has a factors.

So, if a polynomial has factors of 4x – 7 and x + 4, then it can be written as:

(4x – 7)(x + 4)

Multiplying these factors together using the distributive property, we get:

4x²+ 16x - 7x - 28

Simplifying, we get:

4x² + 9x - 28

Hence, the polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

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Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.

Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

Answer:

elimination method

x+2y=4     1

5x-2y=8     2

1+2

6x=12

x=2

plug into x+2y=4

2+2y=4

2y=4-2

2y=2

y=1

(2,1)

so graph 1

Answer:

[tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{4x}{(x-3)}+\frac{6}{(x+2)}[/tex]

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

Now we have done the denominators of each term of the expression equal.

Further we add the terms,

[tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]

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

= [tex]\frac{4x^{2}+8x+6x-18}{(x-3)(x+2)}[/tex]

= [tex]\frac{4x^{2}+14x-18}{(x-3)(x-2)}[/tex]

Now factorize the numerator of the fraction.

4x² + 14x - 18 = 2(2x² + 7x - 9)

                     = 2(2x² + 9x - 2x - 9)

                     = 2[x(2x + 9) - 1(2x + 9)]

                     = 2(x - 1)(2x + 9)

Therefore, [tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex] will be the answer.

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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The two percentages (for winning and not winning) must always add to 100%, which you can think of 100% of a pie. So 100-35 = 65 showing that 35+65 = 100.

Answer:

There is a 65% probablility of not winning a prize.

Step-by-step explanation:

The 35% chance of winning a prize is taken out of a total percentage of 100. If you subtract 35 from 100, the remaining number, 65, is the probability of not winning, since there are only two possible outcomes.

Answer:

Consecutive terms are numbers which follow each other in order, without gaps, from smallest to largest.

Example:

12, 13, 14 and 15

or

2, 24, 26, 28 and 30 (Even Consecutive)

or

40, 45, 50 and 55 (Consecutive Multiples of 5)

SOURCE/GOOGLE

Answer:

Consecutive numbers are numbers that follows one other in their counting order. Each number in the order will be higher than the previous number by 1.

They are always ordered from the smallest to the largest value.

Step-by-step explanation:

Example :

7, 8, 9, 10 are consecutive numbers.

23, 24, 28, 29 are not consecutive numbers.

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴

Answer:

20b - 16

=> 4 (5b - 4)

or

20b - 16

=> 20b/16 - 16/16

=> 1.25b - 1

Answer:

4(5b-4)

Step-by-step explanation:

To factor this you need to find a number, that 20 and 16 are divisible by. You can divide 4 from both of these.

It becomes 4(5b-4)

Assuming you are doing x minus y, the value would be -1.00

The number line can help - go left three times from 2 and you get an answer.

Assuming you are doing x times (-y), the value would be -6.00

Add -3 to itself 2 times

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

Answer:

2/3

Step-by-step explanation:

The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.

Answer:

[tex]\boxed{x=60}[/tex]

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

[tex]130=70+x[/tex]

Subtract 70 from both sides.

[tex]130-70=70+x-70[/tex]

[tex]60=x[/tex]

Answer:

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

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Answer:

a. 5(15-19)

Step-by-step explanation:

to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression

the GCF of the number 75 and -95 is 5

divide both numbers by 5 to get 15 and -19

to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:

5(15-19)

Answer:

a.  5(15  -19)

Step-by-step explanation:

15*5 = 75

-19*5 = -95

Factor is:

5(15 -19)

Answer:

No classification guaranteed

Step-by-step explanation:

A parallelogram is a quadrilateral with 2 pairs of parrallel sides.

A rectangle has 4 right angles

A square has all 4 sides being congruent

A trapezoid only needs 1 pair of parrallel lines. However some trapezoids have no right angles but some do. In the context of your question it is probably a trapezoid. However, it is no classification guaranteed.

Is through BYU IS?

The correct option is Option A: a quadrilateral with only two right angles is a trapezoid.

The quadrilateral whose one pair of opposite sides are parallel is called the trapezoid.

So, if one side of the trapezoid touches the parallel side at right angles then it will form 90° with both of the parallel lines. Then two right angles will be formed in the quadrilateral.

A trapezoid is only required quadrilateral to have a pair of parallel sides. However, a trapezoid can have one of the sides connecting the two parallel sides and perpendicular to the parallel sides which would give two right angles. The picture is given below.

Therefore quadrilateral with only two right angles is a trapezoid.

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Answer:

x=8i,\:x=-8i

Step-by-step explanation:

x^2+64-64=0-64

x^2=-64

x=\sqrt{-64},\:x=-\sqrt{-64}

x=8i,\:x=-8i