please show all algebraic steps

Please Show All Algebraic Steps

Answers

Answer 1

under the same denominator r(r-4)

[6(r-4)] / (r(r-4)) + (4r) / (r(r-4)) = 1

(6r - 24 + 4r) / (r(r-4)) = 1

10r - 24 = r (r-4)

10r - 24 = r² - 4r

r² - 14r + 24 = 0

Δ = (-14)² - 4*1*24 = 100 = 10²

x' = (14 + 10) / 2 = 12

x" = (14 - 10) / 2 = 2

i'm french - so I answered as we learn in France :)


Related Questions

Below is a square with diagonal AC
А
4
D
B
C
Use what you know about special right triangles to determine the distance of the following:
АС
DC -

Answers

Hello!

This is an equilateral triangle. In this triangle, the angles are congruent, respectively, the sides. Here, the mediator corresponds to the bisector, the median. So this line will form two  right triangles.

Th 30-60-90

I used the 30-60-90 theorem, which says that the opposing the angle of 30 degrees has the length equal to half the hypotenuse.

Th Pitagora's

Which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

Good luck:)

specify the multiplicity of the zeros

Answers

The multiplicity of the zeros just means how many times they are repeated

So for example, if the zeros of a function were: 3,4,4,4,6,6

Then 3 would be a zero with a multiplicity of 1

4 would have a multiplicity of 3

And 6 would have a multiplicity of 2

If you have a specific question lmk :)

what is the value of x

Answers

Answer: 6

Step-by-step explanation:

Check the picture below.

Part A. Find the domain and range

Part B. Which set of coordinates describes a function?
A.{( 6,3), (4,5), (2,3), (0,5)}
B.{( 4,-3),(-4,-6),(4,3),(-4,6)}
C.{(2,4), (4,8), (6,2)}
D.{(-5,-1), (-3, -3), (-1, -5),(-5,-7)}

Answers

Answer:

d. {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}; Domain: {-2, -1, 0, 1, 2}; Range: {1, 2, 5}

Step-by-step explanation:

Part A:

Domain = the set of all x-values plotted on the x-axis = {-2, -1, 0, 1, 2}

Range = the set of all possible y-values on the y-axis that corresponds with the x-values = {1, 2, 5}

Part B:

The set of coordinates that describes the function on the graph are:

When x = -2, y = 5 => (-2, 5)

When x = -1, y = 2 => (-1, 2)

When x = 0, y = 1 => (0, 1)

When x = 1, y = 2 => (1, 2)

When x = 2, y = 5 => (2, 5)

The set of coordinates is:

{(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}

If cookies sell for $1 and oranges for 75 cents, how many of each were sold for a total of $8.25?

Answers

Answer:

To make total 8.25 we need to take number of oranges in such a way that they always make . 25 in total. Only then we can get 8.25 as total because cookies will always give integers.

Step-by-step explanation:

what is the next number in 76,69

Answers

Answer:

what r u taking tell it in a detail what is you question

Step-by-step explanation:

It takes Sam 3/5 of an hour to clean his room. it takes Mia 2/3 of an hour to clean her room. Who takes longer?

Answers

Answer:

Mia takes longer

Step-by-step explanation:

We can do this easily by doing 3 / 5 which is 0.6 for Sam and for Mia 2/3 is 0.666 repeating. 0.666 repeating is greater than 0.6

What are the correct ratios

Answers

Answer:

1:3

1:2

Step-by-step explanation:

hope this helps

Please help me solve this, I will give you brainliest

Answers

Answer: 25

spongbob said so

I NEED HELP NOW!!!!

Which statements can be used to write an algebraic expression to represent the phrase?

the product of a number and eighteen

Check all that apply.
1.Replace “a number” with a variable.
2.Product represents addition.
3.Product represents multiplication.
4.The coefficient is 18.
5.The correct algebraic expression is 18t.
6.18 is a variable.
7.The correct algebraic expression is StartFraction t Over 18 EndFraction.

Answers

Answer:

1,3,4,5

Step-by-step explanation:

I hope this helps!

supposed normal distribution has a mean of 89 and a standard deviation of 7. What is P(x≤82)? NO LINKS!!!

a. 0.975
b. 0.84
c. 0.16
d. 0.025​

Answers

Answer:  C)  0.16

======================================================

Explanation:

Convert the x = 82 to a corresponding z score.

z = (x-mu)/sigma

z = (82 - 89)/7

z = -7/7

z = -1

Using the empirical rule (see chart below), roughly 68% of the distribution is within 1 standard deviation of the mean.

This leaves 1 - 0.68 = 0.32 = 32% of the distribution in both tails, and (32%)/2 = 16% of the area is in one tail, which converts to 0.16

About 16% of the normally distributed population is below z = -1.

So we can say [tex]P(x \le 82) = P(z \le -1) \approx 0.16[/tex]

Mean=[tex]\overline{x}[/tex]=89Standard deviation=[tex]\sum[/tex]=7

x is 82

z value:-

[tex]\\ \rm\Rrightarrow \dfrac{x-\overline{x}}{\sum}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{82-89}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-7}{7}[/tex]

[tex]\\ \rm\Rrightarrow -1[/tex]

z=-1

As per z value chart

Part distributed to z=-1 is 32%/2=16%=0.16

Option C is correct

What the volume of this figure? Volume = Cubic units

Answers

Answer:

Count the cubes, this shape is 7 cm cubed. Each cube is 1 cubic unit.

Please help me ASAP
( I will mark brainliest )

Answers

Answer:

A. (−2c − 3d)(−11)

C. [tex](66c+99d)*\frac{1}{3}[/tex]

E. 11(2c + 3d)

↓║ Answer ║↓

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[A]  (−2c − 3d)(−11)

[C] (66c+99d)*1/3

[E] 11(2c + 3d)

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

To find the answer - Solve each answer choice:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[A] (-2c-3d)(-11)

Re-order terms so constants are on the left

-11(-2c-3d)

Distribute

22c + 33d

Hence, [A] is True.

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[B] [tex]2(11c-[/tex] [tex]\frac{33}{2}d)[/tex]

Combine multiplied terms into a single fraction

Find common denominator

[tex]2(\frac{2*11c}{2}+\frac{-33d}{2})[/tex]

Multiply the numbers

[tex]2(\frac{22c-33d}{2})[/tex]

Cancel multiplied terms that are in the denominator

22c - 33d

Hence, [B] is false

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[C] [tex](66c+99d)*\frac{1}{3}[/tex]

[tex]Apply\;Rule:a*1=a[/tex]

[tex]\frac{66c+99d}{3}[/tex]

[tex]Factor\;66c+99d:33(2c+3d)[/tex]

[tex]=\frac{33\left(2c+3d\right)}{3}[/tex]

[tex]Divide\;the\;numbers:\frac{33}{3}=11[/tex]

[tex]=11(2c+3d)[/tex]

[tex]Expand;[/tex]

22c+33d

Hence, [c] is True

  ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[D] -1*(-22-33d)

[tex]Apply \;rule:a*1=a[/tex]

= (22+33d)

Hence, [D] is False

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[E] 11 * (2c+3d)

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]11\left(2c+3d\right)=11\cdot \:2c+11\cdot \:3d[/tex]

[tex]=11\cdot \:2c+11\cdot \:3d[/tex]

[tex]Simplify \;=11\cdot \:2c+11\cdot \:3d:22c+33d[/tex]

22c + 33d

Hence, [E] is True

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]

Paris wants nuts and fruit as a snack. She has a choice of either almonds or pecans.
She can choose either cherries or grapes to complete her snack. Which list shows all
the possible combinations of one type of nut and one type of fruit Paris can choose
from?

A. (Almonds, Cherries), (Almonds, Grapes), (Pecans, Grapes)

B. (Almonds, Grapes), (Pecan, Cherries), (Almond, Cherries)

C. (Almonds, Grapes), (Pecans, Cherries), (Almond, Cherries), (Pecan, Grapes)

D. (Almond, Cherries), (Pecan, Grapes), (Cherries, Grapes), (Almond, Pecans)

Answers

Answer:

Step-by-step explanation:

The answer is C.

Almonds

Grapes Cherries

Pecans

GrapesCherries

The others have missing combinations.

sally and 3 friends went to the movies. the tickets together cost $35.00 and each ticket was the same price. which equation represents the total cost.

Answers

Answer:

8.75×4=$35.00

Step-by-step explanation:

sally=1 person so...

1+3=4

$35.00÷4=8.75

8.75×4=$35.00

Faith was working admissions to the basketball game is $5 for students (x) and $7
for adults (y). If the faith made $500 dollars at the game on ticket sales, write an
equation that represents this scenario.*

Answers

Answer: 5x+7y=500

Step-by-step explanation:

What is 10+3a pls help me pass

Answers

10+3a is the answer.

you cannot do anything to this

please help me with this I need help.

Answers

Answer:

I can not see the whole picture, otherwise I could maybe help you.

Answer:

y-5 = 3/4(x-6)

Step-by-step explanation:

point slope formula is y - y₁ = m(x - x₁) where m=slope and (x₁ ,y₁) is a point on the line.

First find the slope.  From the graph we have pts A and B.

A= (-2,-1) and B is (6,5)

m= y-y₁/x-x₁  m= (5-(-1)/(6-(-2))

m= 6/8 = 3/4

Using point B for x₁ and y₁

y-5 = 3/4(x-6)

pizza cost $8 each. Using p for the number of pizzas, and c for the cost.

Answers

Answer:

c=px8

Step-by-step explanation:

A 390 m wire is cut into three pieces. The second piece Is 4 times as long as the first. The third plece is 2 times as long as the second. How long is each piece?

Answers

Answer:

First piece = 30m , 2nd is 120 m and third piece is 240 m long.

Step-by-step explanation:

Let the length of the first piece be x m.

Then the length of the second piece = 4x m.

The third piece = 2 * 4x = 8x m.

So x + 4x + 8x = 390

13x = 390

x = 30 m

So 2nd piece = 4*30 and third is 8*30  m.

If there are 3 divers, how many
tanks will they need for a 2 hour
dive? (Divers cannot share tanks.)

Answers

Answer:

3

Step-by-step explanation:

with the information given in the question the only answer I can provide is that each diver requires a tank. does the tank have a certain capacity and so on?

True or False.
Does the following set of ordered pairs represent a function?

(3,5), (-2,3), (4,6), (2,3), (1,8)

Answers

True, every input has an output and there are no repeating inputs.

Complete the recursive formula of the geometric sequence −0.3,0.9,−2.7,8.1,...

Answers

Answer:

a n= - 3a_{n-1}a n−1 with a₁ = - 0.3

Step-by-step explanation:

The recursive formula for a geometric sequence is of the form

a_{n}a

n = ra_{n-1}a

n−1

where r is the common ratio

r = \frac{a_{2} }{a_{1} }

a

1

a

2

= \frac{0.9}{-0.3}

−0.3

0.9

= - 3 , thus

a_{n}a

n

= - 3a_{n-1}a

n−1

with a₁ = - 0.3

ПОЖАЛУЙСТА,РЕШИТЕ!!!Решите уравнение:
1) -5/12х=0
2) 5,4(х+6,3)=0
3) (х-3)(х+4)=0
4) 23,5 |х|=0
(6 класс)

Answers

Answer:

Step-by-step explanation:

1). [tex]-\frac{5}{12}[/tex] x = 0 ⇒ x = 0

2). 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ x = - 6,3

3). ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ x = 3 или x = - 4

4). 23,5 | x | = 0 ⇒ | x | = 0 ⇒ x = 0

Help please say yes or no

Answers

Answer:

yes oo that's what I'm thinking

Classify the triangle by its angles.

Answers

Answer:

C

Step-by-step explanation:

right angled triangle because it has clearly shown the sign of 90 degree

Which equation represents a line which is parallel to y = 0?
A) x = - 4y
B) x = 1/2y
C) x = 6
D) y = -5​

Answers

Answer:

C.

Step-by-step explanation:

If you graph it, you can see that the lines are parallel.

what are the side lengths of the scaled copy of a rectangle that is 2 inches by 3 inches?

Answers

Answer: 6

Step-by-step explanation:ye

$4.92 for a dozen apples is a rate of $0.__ per apple.

Answers

Answer:

$0.41 per apple.

Step-by-step explanation:

A dozen apples stand for 12. If we want to find the rate, we must divide.

$4.92 ÷ 12 = 0.41.

The rate for a dozen apples that cost $4.92 is $0.41 per apple.

Answer:

$0.41 per apple

4.0 divided into 2.32

Answers

Answer:

1.72

Step-by-step explanation:

Answer:

Today: Monday, 12 October 2020

Hour: 21.55 WIB (in Indonesian)

_______________________

4,0 ÷ 2.32 = 1,724

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