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y= –1/4x+5

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

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Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

Answer:

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

As the highest power of the x-variable is 3 with the leading coefficients of 1.

solving to get the zeros

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

[tex]0=x^3-6x^2+3x+10[/tex]              ∵  [tex]f(x)=0[/tex]

as

[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]

so

[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]    

Using the zero factor principle

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]

[tex]x=-1,\:x=2,\:x=5[/tex]

Therefore, the zeros of the function are:

[tex]x=-1,\:x=2,\:x=5[/tex]

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

Answer:

98

Step-by-step explanation:

49 + 49 = 98

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

1. Both are corresponding angles, hence they both are equal, so,

[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]

Ans. A) 6

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Answer:

2 exponent is 5

Step-by-step explanation:

       5                                  

so 2

Answer:

Y=15

Step-by-step explanation:

2(4)+7

8+7

15

Answer:

Y=15

Step-by-step explanation:

Answer:

jdjndbncjjsnnxjjxjnxjnsnnx.

Answer:

88 hours

Step-by-step explanation:

Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4

Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours

So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4

Answer:

1.4

Step-by-step explanation:

The amount of their deposit will be $981.75

Sum refers to the addition of two or more numbers.

The amount of their deposit will be the sum of no cashback deposit and the checks.

This means that the amount of their deposit will be 25 twenties + 19 tens + 28 fives + 18 ones + 15 quarters + $25 + $20 + $85.

By Solving it, we will get

[tex](25\times 20)+(19\times 10)+(28\times 5)+(18\times 1)+(15\times \dfrac{1}{4})+25+20+85=500+190+140+18+3.75+25+20+85\\=981.75[/tex]

So, the amount of their deposit will be $981.75.

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Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

Answer:

$11.25

Step-by-step explanation:

Answer:

$11.25

Step-by-step explanation:

Divide $101.25 by 9

11.25

So $11.25 were earned each hour.

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Answer:

B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

Step-by-step explanation:

Got it right on the quiz

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)

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Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

x=134°

Step-by-step explanation:

180-(64+70)=46

x=180-46

x=134°

Answer:

134*

Step-by-step explanation:

64 + 70 should equal x but to make sure:

180-64-70= 46 then 180 - 46= 134 so yes

Answer:

17

Step-by-step explanation:

PLS GIVE BRAINLIEST

Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.

Answer:

equilateral triangle, isosceles triangle, scalene triangle

(Left to Right)

Step-by-step explanation:

Answer:

1-equilateral triangle 2- isosceles triangle 3- scalene triangle

Step-by-step explanation:

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

Answer:

1/2(x+10)

Step-by-step explanation:

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Answer:

  19 chairs

Step-by-step explanation:

you can make two equations

1. y = 8x + 11

2. y = 6x + 13

Y is the number of total chairs and x is the length

so 8x + 11 = 6x + 13

2x = 2

x = 1

so the length is one

To find the total number of chairs just plug in one as x

y = 8 + 11

y = 6 + 13

y = 19

so 19 chairs is the number of chairs Liam has.

Pretty sure its 500000 milliliters.

hope this helps

Answer:

500,000 liters

Step-by-step explanation:

mulitply the volume of the liters value by 1000

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

Answer:

15%

75-60= 15

hope this helps

Answer: 0,5, and -4 is the zeros

Step-by-step explanation: