PLEASE HELP!! Fill in the gaps to factorise the expression below

Answer:

182

Step-by-step explanation:

728 divided by 4 is 182.

Answer:

x=16

Step-by-step explanation:

Simplifying

3x + 16 = 4x

Reorder the terms:

16 + 3x = 4x

Solving

16 + 3x = 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

16 + 3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x

16 + -1x = 4x + -4x

Combine like terms: 4x + -4x = 0

16 + -1x = 0

Add '-16' to each side of the equation.

16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = 0 + -16

-1x = 0 + -16

Combine like terms: 0 + -16 = -16

-1x = -16

Divide each side by '-1'.

x = 16

Simplifying

x = 16

The quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.

Given:

a) 2b(b - 7) + b = 0

2b² - 14b + b = 0

2b² - 13b = 0

b) (4a + 2)(2a - 1) + 1 = 0

8a² - 4a + 4a + 1 =0

8a² 1 =0

c) 2y + 2(3y - 5) = 0

2y+ 6y- 10 = 0

8y -10=0

d) 8 - 5x = 4(3x - 1)

8- 5x= 12x- 4

Hence, the quadratic equations are 2b(b - 7) + b = 0 and (4a + 2)(2a - 1) + 1 = 0 .

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Answer:

k = 7

Step-by-step explanation:

y = 3x

The slope is 3

Parallel lines have the same slope so a line parallel will have a slope of 3

Using the slope formula

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

3 = ( 7-1)/(k-5)

3 = 6/(k-5)

Multiply each side by k-5)

3 * (k-5) = 6

Divide each side by 3

k-5 = 6/3

k-5 = 2

Add 5 to each side

k = 7

Answer:

A) 670

B) 192 and 670

C) 670

Answer:

a) 670

b) 192, 670

c) 670

Step-by-step explanation:

670 is divisible by 5 because 670/5=134, also because 670 ends in 0

192 and 670 is divisible by 2 because they both end in even numbers, and also 192/2=96, 670/2=335

670 is divisible by 10 because 670/10=67, and it ends in a 0 as well

a) x-intercept: the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept: the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) The x-intercept: (2, 0)

The y-intercept: (0, 1)

5) a) x-intercept is the value of x when the value of y is zero.

To determine if an ordered pair is an x-intercept, the y coordinate will be zero while the x coordinate will have a value different from zero.

b) y-intercept is the value of y when x is equal to zero.

To determine if an ordered pair is a y-intercept, the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.

c) To get the x-intercept: From the table, we will check for the of x when the value of y = 0

The value of y = 0 when x = 2

The ordered pair: (x, y)

The x-intercept: (2, 0)

To get the y-intercept: we will check for the value of y when x = 0

The value of x = 0 when y = 1

The ordered pair: (x, y)

The y-intercept: (0, 1)

19770609664 is simple power of 52⁶ .

What is exponent and power?

= 52⁶

= 52 × 52 × 52 × 52  × 52 × 52

=  19770609664

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The 4th term of the expansion is  8z³.

The expression to be expanded is  (y + 2z)³

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket

Therefore,

(y + 2z)³ =  (y + 2z)(y + 2z)(y + 2z)

Therefore,

(y + 2z)(y + 2z) = y² + 2yz + 2yz + 4z²

y² + 2yz + 2yz + 4z² = y² + 4yz + 4z²

Hence,

y² + 4yz + 4z² (y + 2z) = y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

Therefore,

(y + 2z)³ =  y³ + 2y²z + 4y²z + 8yz² + 4yz² + 8z³

(y + 2z)³ = y³ + 6y²z + 12yz² + 8z³

Therefore, the 4th term is 8z³

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Here, we are told y stands for the unknown number: Sixteen more than five times a number.​

Converting to an algebraic expression, we have:

16 + 5y

Here, y is the unknown number.

16 + 5y

The quadratic equation is,

The value of coefficients of square term, x term and constant terms are,

a = -3

b = -4

and c = c.

For two real roots,

Dubstitute the values in the equation to obtain the value of c.

So value of c should be greater than -1.333, and from from the options it can be observed that value more than -1.333 is only c = -1.

So answer is c = -1.

Given data:

The given circle.

The quadrilateral inside the circle is cyclic in nature, the expression for the cyclic quadrilateral is,

The value of angle V is,

Thus, the value of angle V is 150 degrees.

ANSWER

81.68 ft

EXPLANATION

The circumference of a circle = 2 * pi * r

The correct option is D.

The value of r for the given complex number is calculated below:

now,

Since the complex number lies on the positive y-axis.

Therefore, the polar form of the given complex number is

1. The equation that represents the situation is 500 + 150h = 1700

2. The number of hours used to rent the helicopter is 8 hours.

It should be noted that an equation is used to show the relationship between the variables.

In this case, John rented a helicopter, there was a one-time charge of $500, plus an hourly rate of $150 and his total for the night was $1700.

Let the number of hours be represented as h.

The equation will be 500 + 150 × h = 1700

500 + 150h = 1700

The number of hours used will be:

500 + 150h = 1700

Collect like terms

150h = 1700 - 500

150h = 1200

Divide

h = 1200/150

h = 8

The helicopter was for 8 hours.

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The non-rigid transformation will not result in congruent figures because they will change the size or shape.

Hence, the answer is dilation because if we dilate the figures they will not be congruent after the transformation.

ANSWER

(7, 5)

EXPLANATION

We want to find the reflection image of X.

The coordinates of X is (-1, 5).

When reflecting over a vertical axis, the x coordinate changes but the y coordinate does not change.

To reflect a point (x, y) (i.e. to find the new x coordinate) across the line x = a, find the distance between a and x, then add that to a.

That is the new x coordinate.

For the question, a = 3.

Therefore, for X(-1, 5):

Adding that to a, the new coordinates are:

That is the reflection image of X.

Evaluate the value of expression.

So answer is 9/2 or 4 1/2.

A parallelogram is an easy quadrilateral with two pairs of parallel aspects. the other or dealing with facets of a parallelogram are of equal length and the other angles of a parallelogram are of equal measure. Hence, proved  p + q = r.

A parallelogram has four sides overall and two pairs of facets that might be parallel. A square is a parallelogram that has four equal sides. the other facets are parallel and all corners of the rectangular shape the right attitude. A rectangle is a parallelogram that has 4 contrary, parallel, congruent aspects.

proving p + q = r;

q = ∠OCD = ∠BAO   ( alternate angle)

In Δ AOB

∠OAb  + ∠DBA = p + q -------------------(1)

& ∠AOD + ∠BOA = 180° ------------(2)

Also,

∠OAB + ∠OBA + ∠BOA = 180° --------- some of angle in a triangle.

⇒ ( p + q) + (180° - ∠BOA) = 180° --------using 1 & 2

⇒  p + q - r = 0

⇒  p + q = r

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To answer this question we will use the following:

Notice that the given set consists of the real numbers that are greater than or equal to 3 or that are less than or equal to -3, the above statement in algebraic notation is:

Using the first equations we get that the given set can be represented by the following absolute value inequality:

Answer:

ANSWER

SA = 26π

EXPLANATION

The total surface area is the sum of the areas of the sides of the cylinder:

In this problem r = 1cm and h = 12cm. The areas to sum are the area of the top and the base, which are identical circles, and the area of the rectangle that forms the side:

[tex]2x^{6}[/tex] is the Simplify of the expression   2x² x x³

[tex]2x^{2} xx^{3} = 2x^{6}[/tex]

what is simplify?

To simplify means to make anything basic or simpler, for example. a: to reduce to the bare minimum. b: to become simpler or broader in scope: It was advised to streamline management processes.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

When you describe a complex mathematical idea to a child in words they can easily understand, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

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The option that is to equal to the ratio,  4,200 to 5,000, is 0.84

What is ratio?

Ratio mean expressing one variable as a fraction of the other variable, in this case, 4,200 is expressed as a fraction of a bigger number which is 5,000, intuitively, the correct answer in this scenario is 0.84 because when viewed in percentage terms, 4000 is 80%,hence, 4,200 is greater than 4000, it would be more 80% which is 84%, without mincing words, the computation can be done as shown below:

ratio 4,200 to 5,000=4,200/5,000

ratio 4,200 to 5,000=0.84

Invariably, as stated earlier, all the options from a-c are incorrect as they are not even up 0.80, which means 0.84 is the most appropriate

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Check the answers below, please

1) Since we have this linear function:

a) We can proceed to state the Domain, the set of inputs for this function as:

Since this Linear function does not have any restraint or discontinuity.

b) The Range, i.e. the set of outputs for this function will be defined for this function as:

c) The Zero, can be found algebraically by plugging f(x)=0

d) Y-intercept is the point in the y-axis where the line intercepts it. Looking at the rule of the function, we can state the y-intercept as:

e) Slope, the measure of how steep a line of a function is, it's always the coefficient of x, in this case:

f) Type of slope. Since the slope is -1/3 , i.e. lesser than 0, then we can classify it as decreasing

g) Evaluating f(3):

h) The value of x, where f(x)= -4 Similarly to the previous item, we can plug into that f(x)= -4 like this:

i) The graph can be traced having the zero, the y-intercept the type of the slope we can plot this:

The (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

So, the Root or solution of the equation is the value of the variable that turns an equation into a true statement. ​

For instance,

The equation's solution in this case is x = - 2.

Here, the equation's roots or solutions are x = 1 and -1.

Therefore, the (C) solution of the equation is the value of the variable that causes an equation to be a true statement.

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The complete question is given below:

The value of the variable which makes an equation a true statement is called the ________ of the equation.​

A. Coefficient

B. Equation

C. Solution

D. Algebraic expression

E. Constant

F. Variable

To find the GCF of an expression, find the greatest number that every term can divide by. One way we can do this is by factoring the expression.

[tex]5xy+10xy^2+5x[/tex]

Here, each term has the variable x. Factor this out by dividing each term by x:

[tex]x(5y+10y^2+5)[/tex]

Now, each term has a factor of 5. Divide each term by 5:

[tex]5x(y+2y^2+1)[/tex]

Now, there are no more common factors between each term.

Therefore, the GCF is 5x.

5x

Given: the vector v

To Determine: The direction of the given vector

The vector diagram is as shown below

The direction of a vector is calculated by the formula

From the given vector, determine x and y

Note, the vector is on the fourth quadrant

Hence, the direction of v is 344.1⁰(nearest one decimal place)

1. Variable

• x: number of passengers

From the description of the problem, the number of passengers must be at most 3000. Mathematically:

x ≤ 3000

This inequality can be represented in a number line as follows:

This is a simple question.

The run is related to the x-axis and the rise to the y-axis and the slope is the relation between the two and we can calculate in the following form:

To do so, we need to choose 2 different points in the line and calculate. For our explanation, we will choose points (-1,9) and (3,-3). So let's calculate:

And that is our Slope.

Now we can draw it as follows:

And that is our final answer.

Answer:

x = 11

Step-by-step explanation:

(3x + 12) + (7x + 15) = 137 (exterior angle: angle KFG = angle g + angle h)

10x + 27 = 137

10x = 110

x = 11