One number is four times another. Their sum is 35. Can you help me come up with an equation

Answer:

The polynomial function [tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

To determine the multiplicity of 0, -2, -4, 5.

The multiplicity of a root is the number of times the root appears.

First find the root of the equation, set the function equals to zero.

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

therefore, the root of this function are, x=0,-2, -4, 5

To find the multiplicity of the roots:

A factor of x would have a root at x=0 with multiplicity of 1

similarly,  x=-2 with multiplicity of 3

x=-4 with multiplicity of 2

x=5 with multiplicity of 4.

Answer:

0 has multiplicity 1

−2 has multiplicity 3

−4 has multiplicity 2

5 has multiplicity 4

ANSWER

[tex]x=\sqrt{3}-1[/tex] or [tex]x=-\sqrt{3}-1[/tex]

EXPLANATION

To complete the square for [tex]x^2+2x-2=0[/tex].

We rewrite the equation to get

[tex]x^2+2x=2[/tex].

We now add [tex](1)^2[/tex] to both sides to get

[tex]x^2+2x+1^2=2+1^2[/tex].

The expression on the Left Hand Side of the equation is a perfect square.

So our equation becomes

[tex](x+1)^2=2+1[/tex]

This gives us,

[tex](x+1)^2=3[/tex]

We take square root of both sides to obtain,

[tex]x+1=\pm \sqrt{3}[/tex]

[tex]x=-1\pm \sqrt{3}[/tex]

We split the [tex]\pm[/tex] to obtain,

[tex]x=\sqrt{3}-1[/tex]

or

[tex]x=-\sqrt{3}-1[/tex]

Answer:

x = √3 - 1 and x = -√3 - 1

Step-by-step explanation:

x^2  +2x - 2 = 0

To solve this equation, keep the variables on one side and constants on the other

x^2 + 2x = 2

Now to complete the square, divide the coefficient of x by 2:

2x ---> coefficient of x is 2

so 2/2 = 1

Now add the square of 1 to both the sides of the equation:

x^2 + 2x + (1)^2 = 2 + (1)^2

which makes it

(x + 1)^2 = 3

To solve it, take square root of both sides which gives

x = √3 - 1 and x = -√3 - 1

x=10 hope this helps

answer:  [tex]x = -10[/tex]

work:

[tex]-57=-6x+3[/tex]  | subtract 3 and move it over to the 53, and solve.

[tex]-60 = 6x[/tex]  | divide by 6 to -60, and solve.

[tex]-10 = x[/tex]  | final answer.

hope this helps! ❤ from peachimin

1 because any number times 1 equals itself.

Example: 3 times 1 = 3

Final answer:

The factor is 1. When you multiply any number by 1, the product is always equal to the number itself.

Explanation:

The factor is 1.

When you multiply any number by 1, the product is always equal to the number itself.

This is because multiplying by 1 does not change the value of the quantity. For example, if you multiply 5 by 1, the product is 5.

In algebra, the concept of multiplying by 1 is often used to simplify equations or expressions.

By multiplying both sides of an equation or an expression by 1, the equality is preserved, and it allows us to rearrange the terms or cancel out certain factors.

If A=2 and B=3, then AB would be 23. 23 squared is 529.

[tex]2\pi\approx6.28\\.38=0.38\\\\2\pi >.38[/tex]

The range of a graph is the high-and-low points of the graph on the y-axis.

The high point looks like it is at y = 5. The low point appears at y = - 9

Option D is your answer.

Answer:

The range is:

 -9≤y≤5

Step-by-step explanation:

We have to find the range of the graphed function.

Here, the scale is of 2 units

The range is calculated as the values between the smallest value and the largest value

The smallest value graph attains is:  -9

and the largest value graph attains is: 5

Hence, the range is:

 -9≤y≤5

Jonathanpalafox67,

In order to get your answer you must first know what each of the options are.

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

Therefore your answer is the second option "improper fraction."

Hope this helps!

Answer:

A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.

Therefore your answer is the second option "improper fraction."

Hope this helps!

Answer:

Insert a number into the x,

the middle column, you just substitute,

and the last column, you enter what x and y is.

Step-by-step explanation:

For example,

if x was 5, I would write 5 under the column,

under the y=2x+5 column, you would write y=2*5+5,

and under the last column you would write (5, 15)

We are given equation: c=6.4w, where the cost c for w pounds of walnuts.

w represents the number of pounds of walnuts.

Number of pounds could be in decimals.

The value of w = 2.5 represents 2.5 pounds of walnuts.

On plugging w=2.5 in c=6.4w equation, we get.

c=6.4×2.5 = $16.

Therefore, for 2.5 pounds of walnuts the total cost is $16.

Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.

Answer:

We are given equation: c=6.4w, where the cost c for w pounds of walnuts.

w represents the number of pounds of walnuts.

Number of pounds could be in decimals.

The value of w = 2.5 represents 2.5 pounds of walnuts.

On plugging w=2.5 in c=6.4w equation, we get.

c=6.4×2.5 = $16.

Therefore, for 2.5 pounds of walnuts the total cost is $16.

Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.

Step-by-step explanation:

Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis of the conditional. ... Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other.

Final answer:

In geometry, the law of syllogism allows for the combination of two conditional statements to reach a conclusion, while the law of detachment allows us to derive a conclusion from a known hypothesis and a conditional statement.

Explanation:

The Law of Syllogism and Detachment in Geometry

Both the law of syllogism and the law of detachment are forms of deductive reasoning used in geometry. The law of detachment is a process where we derive a conclusion from a single conditional statement and its hypothesis. For example, if we have a statement 'If a figure is a square, then it has four equal sides', and we know that a given figure is a square, we can deduce that this figure has four equal sides.

The law of syllogism, on the other hand, allows us to combine two conditional statements to derive a new conclusion. If we have two true statements, such as 'If an angle is acute, then it is less than 90 degrees' and 'If an angle is less than 90 degrees, then it is not a right angle', we can then conclude that 'If an angle is acute, then it is not a right angle'.

These laws form the backbone of logical reasoning in mathematics, allowing us to connect premises to reach valid conclusions and build upon established theorems and properties in geometry.

it is true!!!! hope this helps

The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3

The correct perimeter of the figure is 230 2/3 ft. Here option C is correct.

The perimeter of the figure is the sum of the lengths of all its sides. To find the perimeter, we need to add the fractions given for each side.

We can do this by finding the common denominator and then adding the numerators. The common denominator for 3, 6 and 9 is 18. So, we have:

54 1/3 ft = 54 + 1/3 ft = 54 + 6/18 ft = 54 6/18 ft

56 1/6 ft = 56 + 1/6 ft = 56 + 3/18 ft = 56 3/18 ft

59 1/3 ft = 59 + 1/3 ft = 59 + 6/18 ft = 59 6/18 ft

60 5/6 ft = 60 + 5/6 ft = 60 + 15/18 ft = 60 15/18 ft

Now, we can add the fractions and simplify:

54 6/18 ft + 56 3/18 ft + 59 6/18 ft + 60 15/18 ft

= (54 + 56 + 59 + 60) + (6 + 3 + 6 + 15)/18 ft

= 229 + 30/18 ft

= 229 + 1 12/18 ft

= 229 + 1 2/3 ft

= 230 2/3 ft

Therefore, the perimeter of the figure is 230 2/3 ft. Here option C is correct.

To learn more about perimeter

https://brainly.com/question/397857

#SPJ3

f(5) = 4(5) - 11

f(5) = 20 - 11

f(5) = 9

The answer is 9 :)

Please give BRAINIEST :)

Thanks

By assigning the value of X to the function, we have:

f( x ) = 4 x - 11

f ( 5 ) = 4 * 5 - 11

f ( 5 ) = 20 - 11

f(5 ) =  9

therefore f ( 5 ) = 9

slope = - [tex]\frac{2}{3}[/tex]

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-4}{-3-0}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]

answer: [tex]-\frac{2}{3}[/tex]

work:

subtract the y values over the x values to solve, you can use this formula:

[tex]\frac{y_{1} - y_{2}  } {x_{1} - x_{2}  }[/tex]

so, enter your values into the equation:

[tex]\frac{6}{-3} - \frac{4}{0}[/tex]

now, simplify.

[tex]\frac{2}{-3}[/tex]

so, the slope is [tex]-\frac{2}{3}[/tex].

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

2x+3=5

Subtract 3 both sides

2x=5-3

Simplify

2x=2

Divide 2 each side

X= 2/2

Evaluate

X=1

Now second part

2x+3=-5

2x=-5-3

2x= -8

X=-8/2

X=-4

So x= 1,-4

[tex]|n-3|=5\iff n-3=5\ \vee\ n-3=-5\qquad|\text{add 3 to both sides}\\\\n=8\ \vee\ n=-2[/tex]

The solution for the equation |n-3|=5 is n=8, -2. These two points, when graphed on a number line represent the solution set.

In Mathematics, the absolute value of a number can have two possible solutions because it represents the distance from zero, and distance is always positive. To solve the equation |n-3|=5, we need to break it down into two separate equations.

When the term inside the absolute value (n-3 in this case) is positive, the equation is simply n-3=5. Solving for n gives n=8.

When the term inside the absolute value is negative, the equation is -(n-3) = 5, or equivalently, 3-n=5. Solving for n in this case gives n=-2.

So the solution set for n is {8, -2}. To graph the solution set on a number line, draw a number line from -3 to 9 and put closed dots at n=-2 and n=8.

https://brainly.com/question/33804932

#SPJ2

3(4)(-2)(8) is what the equation looks like all you have to do is multiply all these numbers so 3 times 4 equals 12 and 12 times -2 equals -24 then lastly multiply -24 by 8 which gives you the product of -192.

Hello there!

[tex]2(5/3+3/4)-4/3[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

[tex]2(\frac{5}{3}+\frac{3}{4})-\frac{4}{3}[/tex]

[tex]2(\frac{5}{3}+\frac{3}{4})=\frac{29}{6}[/tex]

[tex]\frac{29}{6}-\frac{4}{3}[/tex]

You had to used least common multiple of 6 and 3.

Prime factorization of 6: 1, 2, 3, 6

3*2=6

Prime factorization of 3: 1, 3

1*3=3

Then multiply by the number

3*2=6

You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.

Then you had to used 4/3 multiply by the denominator and numerator by 2.

[tex]\frac{4}{3}=\frac{4*2}{3*2}=\frac{8}{6}[/tex]

[tex]\frac{29}{6}-\frac{8}{6}[/tex]

Since the denominators are equal, it combine by the fractions.

[tex]\frac{29-8}{6}[/tex]

Then you can subtract by the numbers.

[tex]29-8=21[/tex]

[tex]\frac{21}{6}[/tex]

You had to cancel by the common factor of 3.

[tex]=\frac{7}{2}[/tex]

Answer⇒⇒⇒⇒7/2

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The answer would be d.7/2

In this flowchart proof, we utilised the Corresponding Angles Postulate to conclude that line c is parallel to line d. Given that line a is parallel to line b, and angle 7 is congruent to angle 10, we can say that corresponding angles on line c and line d are also congruent, hence proving line c is parallel to line d.

For this flowchart proof, we will use the idea of corresponding angles and the postulate that if a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.

https://brainly.com/question/12611050

#SPJ12

The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

Fifty Cent = 50 cents

Quarter = 25 cents

Dime = 10 cents

Nickel = 5 cents

__________________________________________________________________

15 Fifty Cent coins = 7.50 dollars

19 Quarters = 4.75 dollars

24 Dimes = 2.40 dollars

36 Nickels = 1.80 dollars

__________________________________________________________________

Total: $16.45

Hope that helps!

1. It is the subset of a group  - Group sample.

2. It equally favors all members of a group sample   - Random sample.

3. It collects data on members of a group  -  Survey.

4. It does not equally favor all members of a group - Biased sample.

5. It includes all members of a group   -  Population.

6. It analyzes data collected from a group - Mean.

I have matched all concepts in accordance with statistical use, hope it helps.

Matching each concept with its key characteristic are:

Therefore Group sample- It is the subset of a group.

Learn more about group and random sample here:https://brainly.com/question/24466382

#SPJ2

-98-31 can also be written as

(-98) + (-31)

We know 98+31=129

Therefore -129

The student's question about '-98 - 31' refers to simple subtraction, not the additive inverse property. Subtracting 31 from -98 provides the answer, -129.

The student asked how to solve the expression -98 - 31 using the additive inverse property. The additive inverse property states that: for any number 'a', there is a number '-a' such that: 'a + -a = 0'. Applying this property, if you were to add 98 to -98, it would give 0. However, the question asks for -98 - 31. This doesn't require the additive inverse property, but simple subtraction. Subtract 31 from -98 to get -129.

https://brainly.com/question/17861269

#SPJ11

Answer:

1) Option C - 39 inches

2) Option C - 12167 cubic feet

Step-by-step explanation:

1) Given : Joy knits a square blanket that has an area of 1,500 square inches

  To find : What is the approximate length for each side of the blanket.

  Solution: Area of square = 1500 square inches

Let the side of the blanket = s

Formula of area of square is [tex]A= s^2[/tex]

[tex]1500= s^2[/tex]

[tex]s= \sqrt{1500}[/tex]

[tex]s=38.7[/tex]

Approximately Side of blanket = 39 inches

Therefore, Option C is correct.

2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.

  To find : what is the volume in cubic feet if the length is 23 feet?

  Solution: Length of side of a cube (a)= 23 feet

Let the volume of a cube = V

Formula of Volume of cube is [tex]V= a^3[/tex]

[tex]V= (23)^3[/tex]

[tex]V= 12167[/tex]

Volume of a cube = 12167 cubic feet

Therefore, Option C is correct.

The approximate length for the blanket is given as 27  inches. Option B

The volume of the room addition is 12167 cubic feet (option C)

Let's solve each problem:

1. Side length = √(Area)

Side length = √(1500 square inches)

Side length ≈ √(25 * 60) square inches

Side length ≈ 5√60 inches

This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.

Approximately B.27 inches

2. Volume = (Side length)³

Volume = (23 feet)³

Volume = 12,167 cubic feet

So, the volume of the room addition is 12167 cubic feet (option C).

Read more on volume here https://brainly.com/question/27710307

#SPJ4

Answer:

It increases, because if the first ball is left in a red section, there is less red area for the second ball to land on. - trust

Step-by-step explanation:

A. 0.370

B. 0.44

C. 0.1

D. 2.75

Answer: a) 0.370 b) 0.440 c) 0.1 d) 2.75

Step-by-step explanation:

Since we have given that

a. 0.370, 0.307, 0.037, 0.3007

First we write it in the ascending order :

0.037<0.3007<0.307<0.370

So, the largest decimal = 0.370

b. 0.404, 0.044, 0.44

We write it in ascending order :

0.044<0.404<0.440

So, the largest decimal = 0.440

c. 0.05, 0.049, 0.009, 0.1

Ascending order :

0.009<0.049<0.05<0.1

So, the largest decimal = 0.1

d. 2.7, 2.5, 2.75

Ascending order :

2.5<2.7<2.75

So, the largest decimal = 2.75