If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.

The simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

The given expression is [tex](a^0 b^-4 cde^3)^2[/tex]

We know that any number raised to the power of 0 is 1.

Therefore,[tex]a^0 = 1[/tex].

Also, any number raised to the power of -1 is its reciprocal.

Therefore, [tex]b^-4 = 1/b^4[/tex]

Simplifying the above expression we get

[tex](1*1/b^4 * cde^3)^2 = (cde^3/b^4)^2[/tex]

Now, we apply the rule that [tex](a^m * a^n) = a^(m+n)[/tex]

So, [tex](cde^3/b^4)^2 = c^2 d^2 e^6 / b^8)[/tex]

Hence the simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

Please note, when an exponent is raised to another exponent, we can multiply the exponents, so [tex](a^m)^n = a^(m*n)[/tex]

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The solution to the equations is

Addition : 2.49 + 6.7 = 9.19  ;  6.7 + 2.49 = 9.19

Subtraction : 9.19 - 6.7 = 2.49  ;  9.19 - 2.49 = 6.7

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the three decimals be represented as set x = { 2.49 , 6.7 , 9.19 }

Now , the addition facts are given by equations ,

2.49 + 6.7 = 9.19  be equation (1)

6.7 + 2.49 = 9.19   be equation (2)

And , the subtraction facts are given by the equations ,

9.19 - 6.7 = 2.49  be equation (3)

9.19 - 2.49 = 6.7  be equation (4)

Hence , the equations are solved

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The proof that the angles m<1 = m<4 is shown below

From the question, we have the following parameters that can be used in our computation:

Measure of angles

The angle measurements are then given as

m<1 + m<2 = 90 and m<3 + m<4 = 90

The relationship to prove is also given as

m<1 = m<4

Using the above as a guide, we have the following:

Subtract the equations m<1 + m<2 = 90 and m<3 + m<4 = 90

This gives

m<1 + m<2 = 90

-(m<3 + m<4 = 90)

Evaluate the difference

m<1 + m<2 = m<3 + m<4

When both sides of the angle equations are compared, we have:

m<1 = m<4

m<2 = m<3

Ignoring the second equation, we have

m<1 = m<4

Hence, the measure of the angles has been proved

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The maturity value of the loan based on the calculation is $1227.72

From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.

It should be noted that the interest will be calculated as:

= Principal × Rate × Time

= 1200 × 7% × (120/360)

= 1200 × 0.07 × 0.33

= $27.72

Maturity amount = $1200 + $27.72

Maturity amount = $1227.72.

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Answer:

[tex]\displaystyle \frac{7}{12}[/tex]

Step-by-step explanation:

When we are subtracting fractions with different denominators, we find the least common denominator of each one. In the case of 6 and 4, they both share 12 as the least common denominator, so we can rewrite each fraction as equivalents with denominators of 12:

[tex]\displaystyle \frac{5}{6}-\frac{1}{4}=\frac{5*2}{6*2}-\frac{1*3}{4*3}=\frac{10}{12}-\frac{3}{12}=\frac{7}{12}[/tex]

Step-by-step explanation:

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators

The sum of the interior angle measures of the polygon is 900 degrees

From the image shown, we can see that the polygon has 7 sides.

A polygon with seven sides is called a heptagon

It is important to note that the number of triangles in a heptagon is 5.

Also, the sum of angles in a triangle is 180 degrees.

Now, the formula for calculating the sum of interior angles of a polygon is expressed as;

= (n - 2) 180

Where; n is the number of sides of the polygon

Substitute the value

= (7-2)180

Subtract the value

= 5(180)

= 900 degrees

Hence, the sum is 900 degrees

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The matching of the items as follows ,a - 4 , b - 5, c - 1 , d - 6 ,  e - 2 , f - 3

What is a number ?

number is used to represent the quantity of number  and it is even used for calculations.  

a) Multiplicative inverse

if the product the given number and reciprocal of the given number is 1.

so,

5 * 1/5  = 1

as LHS = 5 * 1/5  = 1

RHS = 1

Hence , a - 4

b )  Additive inverse

if the summation of the given number and opposite sign of given number results 0 .

7 + (-7) = 0

LHS = 7+ (-7) = 0

RHS = 0

hence , b - 5

c ) Commutative Property of Multiplication

if a.b = b.a hence it is in Commutative Property of Multiplication .

so,  5.6 = 6.5

hence , c - 1

d) Distributive property

if a ( b + c ) = a*b + a*c than it is in distributive property .

hence , d - 6

e) Additive Identity Property

if a+ 0 = a hence it is Additive Identity Property

so , b - 2

f ) Associative Property of Addition

if (a+b) + c = a + (b+c ) hence it is in Associative Property of Addition

so , f - 3.

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Answer:

Step-by-step explanation:

1. ( -2, 2), (-1, 5)

   (5 - 2)/(-1 + 2)= 3/1= 3

2. (-4, 2), (2, 0)

   (0 - 2)/(2 + 4) = -2/6 = -1/3

3. (0, 3), (5, 1)

(1 - 3)/(5 - 0)= -2/5

4. (0, 0), (1, 1)

  (1 - 0)/(1 - 0)= 1/1= 1

5. (3, 0), (3, 1)

(1 - 0)/(3 - 3) = 1/0 = undefined

6. (0, -1)  (1, -1)

   (-1 + 1)/(1 - 0)= 0/1 = 0

Answer:

2/5

Step-by-step explanation:

To find the fraction that is sugar,

part sugar/ total

The total is sugar + flour = 8+12 = 20

8/20

We can simplify

Divide the top and bottom by 4

8/4 =2

20/4 = 5

The fraction is 2/5

Answer:

[tex]\sf\frac{8}{20}[/tex]

Step-by-step explanation:

First let us find the total.

Total = Flour + Sugar

Total = 12 + 8

Total = 20

Now we know that, there are 8 tablespoons of sugar in the whole mixture.

So, write it as a fraction, you have to divide the number of tablespoons of sugar by the total.

Sugar = 8/20

Step-by-step explanation:

of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.

both shapes are similar.

that means that

1. both have the same angles

2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).

we need 2. here to solve.

AB / EF = f = 3/2

x = AD

x / EH = f = 3/2

x / 2.4 = 3/2

x = 2.4 × 3/2 = 7.2 / 2 = 3.6

Answer:

Step-by-step explanation:

-12

The data represented by the steam-leaf plot is 115, 138, 145, 145, 156, 166, 168, 168, 175, and 187.

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customized table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf.

9 I 0 ⇒ 9 on the stem and 0 on the leaf read as 90.

Given, A stem leaf plot and the leaf represents the tens digit.

As the leaf represents tens digits the data set can be represented by,

115, 145, 145, 175, 156, 166, 187, 138, 168, 168.

Representing the data set in ascending order we have,

115, 138, 145, 145, 156, 166, 168, 168, 175, 187.

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Answer:

far   t more far     t

Step-by-step explanation:

On solving the provided question, we cans say that - here in coordinates S is given by: [tex](-2,4)[/tex]

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of [tex]X = -2[/tex]

y-coordinate of[tex]S = 4.[/tex]

S is given by: [tex](-2,4)[/tex]

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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of -2

y-coordinate of 4

S is given by: (-2,4)

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On solving the provided question, we can say that -  here in the function, every element has an unique image

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

every element has an unique image and,

this relation, is not a function, since it is not one-one and onto.

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Answer:

I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo

Step-by-step explanation:

An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.

Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;

y = mx + c

Where:

From the information provided, we have the following points on line g:

Point = (-3, 6)

Point = (0, 5)

Next, we would determine the slope of line g as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 6)/(0 - (-3))

Slope, m = -1/3

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-1/3 × m₂ = -1

m₂ = 3

At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 3(x - 1)

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

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The equation of the linear function represented by the table in slope intercept form is y = -4x - 5.

What is slope-intercept form?

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

Given two points (x,y), the slope is the change in y divided by the change in x.

The points are (1,-9) and (3,-17) -

m = (y2-y1)/(x2-x1)

m = [-17-(-9)]/(3-1)

m = -8/2

m = -4

Then the slope equation will be -

y = -4x + b

Taking points (1,-9) and substituting in the equation to get the value of b -

-9 = -4(1) + b

-9 = -4 + b

-9 + 4 = b

b = -5

Therefore, the slope intercept form of equation is y = -4x - 5.

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The total number of units of energy produced in the two days is 71,402.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Monday:

Energy = 37,124

Tuesday:

Energy = 37,124 - 2846 = 34278

The total energy produced.

= 37124 + 34278

= 71402

Thus,

The total number of energy in two days is 71,402.

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Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

Answer: 109 it says 109 in the corner of b and d

Answer:

c = 62 degrees

b = 118 degrees

Step-by-step explanation:

vertical angles are congruent. the 62-degree angle is vertical to angle c

linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180  = 62 + b. 118 = b

The wood left over after making the frame and the sandbox is 10 inches.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

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Answer:

B) 7

Step-by-step explanation:

-3x³-4x =

-3(-1)³-4(-1) =

-3(-1)+4=

3+4 =7

Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

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Answer:

(2,4)

Step-by-step explanation:

The vertex of a parabola in the form of [tex]y=a(x-h)^2+k[/tex] is [tex](h,k)[/tex]. In this function, we have [tex](2,4)[/tex] as our vertex.

Answer:

hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

=> y+ x = 3

=> y= 3-x

=> x= y = 1

=>3-x =1

=> x = 2

=> y = 2

(2,2)

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

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The sum of the solutions of the equation 4x(x - 3) = 23 is 3.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, An equation 4x(x - 3) = 23.

Now, Distributing the terms in the LHS we have,

4x² - 12x = 23.

4x² - 12x - 23 = 0.

By applying Sridhar acharya's formula we have,

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\left(-23\right)}}{2\cdot \:4}[/tex].

[tex]x=\frac{3+4\sqrt{2}}{2},\:x=\frac{3-4\sqrt{2}}{2}[/tex].

Therefore, The sum of the solutions of the equation is,

x + x = (3 + 4√2)/2 + (3 - 4√2)/2.

= (3 + 4√2 + 3 - 4√2)/2.

= 6/2.

= 3.

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Answer:

Mean - 6.2  Median - 7  Mode - 9

Step-by-step explanation:

You can find the mean by adding all the given numbers and dividing them by how many numbers you added.

The median is the middle value of the set of numbers, order them from least to greatest and find the middle value.

Mode is the number that occurs the most.