Determine the value of expression one 5(x+2)-7 When X equals 4 justify how you found your answer

Solution  : y = -7

One Variable in the linear equation :

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equations in two variables, it has two solutions.

-6y+6= -2(4y + 4)

-6y = -8y -8 -6

-6y +8y = -14

2y = -14

y = -14/2

y = -7

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The length of AB is 11.40 units.

The length of two points can be calculated using the distance formulae.

The distance formulae comes under the Co-ordinate geometry section.

The distance between two points is measured by squaring  the sum of the difference between the x and y co-ordinates and then applying the square root to the result.

Here the two points given are A(-3,7) and B(6,14).

The length of the line segment AB is = √(-3-6)²+(7-14)²

                                                              = √(-9)²+(-7)²

                                                              = √81+49

                                                              = √130

                                                              = 11.40 units

So, the length of line segment AB is 11.40 units.

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The correct answer is 8 cm.

Given the surface area = 518 cm²

breadth of the cuboid = 11 cm

height of the cuboid = 9 cm

Now let l be the length of the cuboid,

The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively

Cuboid's total surface area formula,

Thus the surface area of the cuboid = 2(lb+bh+lh)

518 = 2 ( l × 11 + 11 × 9 + l × 9 )

518 = 2 (11l + 99 + 9l)

259 = 11l +99 +9l

259 - 99 = 20 l

160/20 =l

length = 8 cm

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Using a transformation of the parent function y = x², the graph of f(x) = (x + 5)² is given at the end of the answer.

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

For this problem, the parent function is given by:

f(x) = x².

Which has a parabolic graph with vertex at (0,0).

For f(x) = (x + 5)², we have that x -> x + 5, meaning that the function is shifted 5 units left, meaning that the parabola has a vertex at (0,-5), and the graph is given at the end of the answer.

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Answer: 59

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer: 3/-4

The slope is measured in terms of rise over run. Rise is how many units you go up or down from the point (0, 0). Run is how many units you go left to right from the point where rise left off.  For this question, we go up 3 and to the left 4. SO that's a 3 on top and a -4 on the bottom.

I hope this helps! :) I'm a huge Algebra nerd!!! I love Algebra. :)

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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The probability of a random probability of a random student being chosen who is a female and is not between the ages of 18 and 20 will be 0.06.

From the information, 53% of its students are male (M), 37% of its students are between the ages of 18 and 20 (A), and that 31% are both male and between the ages of 18 and 20.

Probability to females = 100% - 53% = 47%

Therefore, the probability of a random student being male or between the ages of 18 and 20 will be:

= 37% - 31%

= 6%

Therefore, the probability of a random student being female or between the ages of 18 and 20 will be 6%.

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Using arithmetic sequences, it is found that:

a) The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex].

b) 14 blocks will be needed to create the next figure.

c) The sequence means that the number of blocks start at 5 and increase by 3 each figure.

3) The 4th term of the sequence is of -3.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

From the figure, we have that:

Hence the first term and the common ratio are given as follows:

[tex]a_1 = 5, d = 3[/tex]

The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex], hence the sequence means that the number of blocks start at 5 and increase by 3 each figure.

For item b, the amount is:

[tex]a_4 = 5 + 3(4 - 1) = 14[/tex]

14 blocks will be needed to create the next figure.

For item 3, the sequence is given by:

[tex]a_n = 12 - 5(n - 1)[/tex]

Hence the 4th term is:

[tex]a_4 = 12 - 5(4 - 1) = -3[/tex]

The 4th term of the sequence is of -3.

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Answer: so assuming this is a d6, it's 3/6

Step-by-step explanation:

on a d6, there are 6 sides (duh). three out of the six numbers are even, two four and six. so, three out of the six numbers you can roll are even.

In linear equation, 2x - 5 is an expression for John's test grade.

What is linear equation in one variable?

Let Ariana's test grade = x

twice Ariana's test grade =  2x

then, John's test grade  = 2x - 5

an expression for John's test grade = 2x - 5

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Value of n is 4

The area of a rectangle is equal to the product of its length and width.

we know ,

the area of  rectangle, multiply the length, , and the width, ,

and set the product equal to the area.

area of rectangle        = length * width

            54                  = 3(n - 1) * (n + 2)

             54                 =( 3n - 3) * (n + 2)

multiply ( 3n - 3) with  (n + 2)

we get,

              54                = [tex]3n^{2} + 6n - 3n -6[/tex]

              54                = [tex]3n^{2} + 3n -6[/tex]

              54                = 3([tex]n^{2} + n -2[/tex])

             [tex]\frac{54}{3}[/tex]                  =  ([tex]n^{2} + n -2[/tex])

             18                 =  ([tex]n^{2} + n - 2[/tex])

 [tex]n^{2} + n - 2[/tex] - 18           = 0

 [tex]n^{2} + n - 20[/tex]                = 0

solve them

 [tex]n^{2} + 5n + 4n -20[/tex]       = 0

 n (n + 5) - 4 (n + 5)   = 0

(n + 5)(n -4)  

then we get,            

n = -5 , n = 4

value of n should not be negative . so value of n is 4

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area

Area of rectangle = Length x Breadth

A = lb

how to Factoring Quadratic Equation

Step 1: Consider the quadratic equation ax2 + b x + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.

(number 1)(number 2) = ac

(number 1) + (number 2) = b

Step 3: Substitute these two numbers in the formula given below:

(1/a) [a x + (number 1)]  [a x + (number 2)] = 0

Step 4: Finally simplify the above equation.

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Answer:

A∩B = { 3 }

Step-by-step explanation:

A∩B means "the intersection of A and B" as in "all elements that appear in BOTH sets".

Only 3 appears in both sets.

Using linear functions, it is found that:

1. The functions are given as follows:

2. They will have the same elevation after 18.4 minutes.

3. At that time, the elevation is of 18,150 feet.

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

For the functions in this problem, we have that:

Hence the functions are given as follows:

They will have the same elevation when:

E1(t) = E2(t)

28270 - 550t = 5270 + 700t

1250t = 23000

t = 23000/1250

t = 18.4.

They will have the same elevation after 18.4 minutes.

This elevation will be of:

28270 - 550(18.4) = 18150.

At that time, the elevation is of 18,150 feet.

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Step-by-step explanation:

Answer: Find [tex]2^{21} = (2y)^{3}[/tex] then the solution of [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

Step-by-step explanation:

Given data,

                     [tex]2^{21}[/tex] = [tex](2y)^{3}[/tex]

[tex](a^{m)^{n} }[/tex] = [tex]a^{m*n}[/tex] says that when you take a number, a , and multiply it by itself m times, then multiply that product by itself n times, it's the same as multiplying the number a by itself m * n times.

we can use formula,

                    [tex](a^{m)^{n} }[/tex] = [tex]a^{m} a^{n}[/tex]

So,

we can write,

                       [tex]2^{21}[/tex] = [tex]2^{3} y^{3}[/tex]

                        [tex](2^{7} )^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

                          [tex]2^{7} 2^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

cancel the [tex]2^{3}[/tex] in both sides,

Then,

                       [tex]2^{7}[/tex] = [tex]y^{3}[/tex]

Therefore,

                      [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

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Answer:

Step-by-step explanation:

The simplified form of the expression (3/5)³  = 27/125

Step-by-step explanation:

The given expression is (3/5)³

3/5 is a proper fraction.

(3/5)³ can be written as,

(3/5)³ = 3³/5³

To find  3³ and 5³

3³ = 3*3*3 = 27

5³ =5*5*5 =125

A quadratic function is one that has the formula f(x)=ax2+bx+c, where a, b, c, and an are all real values and a 0 a 0. The conventional form of a quadratic function is this form.

The quadratic function's graph is a U-shaped curve known as a parabola.

Below is a graph of the equation y=x2y=x2; it is a parabola.

The parabola rises if a>0a>0 in f(x)=ax2+bx+cf(x)=ax2+bx+c.  In this case, the vertex is the smallest or lowest point of the parabola.

The vertex of the y=x2y=x2 graph is (0, 0). (0,0).

The parabola opens downhill if a0a0 in f(x)=ax2+bx+cf(x)=ax2+bx+c is true. The maximal or highest point of the parabola in this instance is called the vertex.

The value of cc for an equation in standard form yields the graph's yy-intercept.

The axis of symmetry is the line that divides the parabola into two symmetric sections and runs through the vertex.

In the case of the graph y=ax2+bx+cy=ax2+bx+c, where a=0a=0, the equation for the axis of symmetry is x=b2ax=b2a.

The yy-axis, with x=0x=0, is the axis of symmetry in all of the graphs above. The axis of symmetry in the graphs below is different (marked in red.) As you can see, cc still provides the yy-intercept.

If you write a quadratic function like x=f(y)=ay2+by+cx=f(y)=ay2+by+c, instead of writing yy as a function of xx, you obtain a parabola with a horizontal axis of symmetry.

Hence, that the xx-intercept in this situation is cc. When aa is positive, the graph opens to the right; when aa is negative, it opens to the left.

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Answer: 30

Step-by-step explanation:

Slope: y/x

y/x =

+60/+2=

60/2=30

The function is written in vertex form the equation for is  mathematically given as

f(x) = 3(x – 4)2 – 38

This is further explained below.

Generally, To convert the expression "f(x) = 3x2 – 24x + 10," which is in quadratic form, into vertex form, which will look like this "y = a(x-h)2 + k," you will need to apply the technique of completing the square. This will allow you to convert the expression. In the beginning, we shall separate the x2 and x terms.

y = 3(x² - 8x) + 10

We start with a negative eight, divide that number by two to obtain a negative four, and then we square that number, which gets us sixteen. We combine these so that it forms a perfect square, and then we remove 16 so that it is not altered in any way. We will get:

y = 3(x² - 8x + 16 - 16) + 10

y = 3((x - 4)² ) - 48 + 10

y = 3(x - 4)² - 38

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Answer: option D

Step-by-step explanation:

Answer: 2.12

Step-by-step explanation:

it's in the hundredths place

2       .   1           2

ones    tenths  hundredths

$202.50 is your answer

In the last half hour 4  miles did Jesse ride his bike.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Jesse rode his bike for 2 hours at a constant rate.

First 1.5 hours, he rode 12 miles.

According to given question we have

1.5 hours=12 miles

1 hours=12/1.5

0.5 hours=12*0.5/1.5

0.5 hours=4  miles

Therefore, in the last half hour 4  miles did Jesse ride his bike.

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Answer:

I never took the lesson but il try!

Step-by-step explanation:

so if y is 34° and x should be 54° if I am being correct!

Answer:

Is there any more information than that? if there Is I might be able to help

Answer:

List A: 2√2, 3√2, 4√2, …

List B: 2π, 3π, 4π, …

List C: 2log35, 3log35, 4log35, …

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

32= 2^5

Thus:

(2^5) ^-4/5

= (2)^ - 4

= (16) ^ - 1

= 1/16