Given the algebraic expression ----- create an equivalent expression.

Answer:

No.

Step-by-step explanation:

Answer:

B -N

Step-by-step explanation:

A This is -1 x - N. a negative times a negative is always positive. So -1 x -N = 1N= N

C The absolute value of N is N so this is also correct.

D The absolute value of a negative number is always positive so |-N| = N

The following proportion by cross multiplying:

( x + 2 ) / 6 = ( x - 4 ) / 3 is -19

Given:

( x + 2 ) / 6 = ( x - 4 ) / 3

( x + 2 )=2(x-4)

x+2=2x-8

x=-10

If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.

Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.

This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.

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The figure consists of dodecahedrons having different edge length, e.

The external volume, [tex] V_{e}[/tex], is given by the formula;

The internal volume, [tex] V_{i}[/tex], is given by the formula;

The given figures consists of solids that are pentagonal faced.

The number of faces of the solid = 12

The shape of the solids are known as a dodecahedron

The formula for the external volume, [tex] V_{r}[/tex], is given as follows;

[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]

Where;

[tex] e_{e}[/tex] = The length of the edges on the outside of the dodecahedron.

Given that the length of the edges on the inside are measured to be [tex] e_{i}[/tex], the internal volume is given by the formula;

[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]

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The solution of each equation 2 e -x=20 is -7.281.

2 e -x=20

Here e=2.7182

e-x =10

x = -7.281

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

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Answer:

x + y = 10

Step-by-step explanation:

Answer:

734.52

Step-by-step explanation:

Subtract

According to the question, the equation [tex]\frac{x+1}{x^{2} +1}[/tex] is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.

The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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Answer:

$2.53

Step-by-step explanation:

Unit price = total price / quantity

Unit price = $12.65 / 5

Unit price = $2.53

Number Line :

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.

or

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

On a number line, a number on the left is always less than a number on the right. Similarly, a number on the right is always greater than a number on the left.

The Number Line app helps students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labeled with whole numbers, fractions, decimals, or negative numbers. Or use a custom number line, with or without tick marks, and set your own interval.

Show intervals between points on the line using forward or backward jumps above and below the line. Jumps can also be labeled with their values or left blank. Add custom tick marks to the number line to show equivalence or compare number values.

Basic Number Line Skills:

1. Find the dot marked on a number (and name the dot)

2. Place a dot at the desired location

3. Find the desired number below the number line’s tick mark*

   -17                -11        -2                 0

-----|-----------------|----------|----------------|-----------------------------------------------Number line

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The quotient of 405/27 fraction using division is 15.

It should be noted that the information is simply to divide the numbers.

In this case, the numerator is 405 and the denominator is 27

Therefore, the quotient based on the information illustrated will be:

= 405 / 27

= 15

Therefore, the quotient is 15.

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[tex]763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} [/tex]

Answer:

MN = 5

Step-by-step explanation:

From inspection of the given diagram:

Therefore:

[tex]\implies \sf MN+NR=MNR[/tex]

[tex]\implies 2.5x+x=5x-3[/tex]

[tex]\implies 3.5x=5x-3[/tex]

Add 3 to both sides:

[tex]\implies 3.5x+3=5x-3+3[/tex]

[tex]\implies 3.5x+3=5x[/tex]

Subtract 3.5x from both sides:

[tex]\implies 3.5x+3-3.5x=5x-3.5x[/tex]

[tex]\implies 3=1.5x[/tex]

[tex]\implies 1.5x=3[/tex]

Divide both sides by 1.5:

[tex]\implies 1.5x \div 1.5=3 \div 1.5[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into the expression for MN:

[tex]\implies \textsf{MN}=2.5(2)[/tex]

[tex]\implies \textsf{MN}=5[/tex]

The function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3

The points on the function f are given as

(0,3) and (3,9)

Calculate the slope of f using

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

So, we have

m = (9 - 3)/(3 - 0)

Evaluate

m = 2

A linear equation is represented as

y = mx + c

Where m = slope

i.e. m = 2

c = y-intercept

i.e. c = y, when x = 0

In (0,3), we have

c = 3

So, the equation is

y = 2x + 3

The reflection of the equation on the x-axis is

g(x) = -f(x)

So, we have

g(x) = -2x - 3

Hence, the function g whose graph is a reflection in the x-axis of the graph of f is g(x) = -2x - 3

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Answer:

1,2,5,10

Step-by-step explanation:

hope this helps

Answer:

x = 0.25

Step-by-step explanation:

[tex]9\sqrt{x} =5-2x[/tex]

[tex]81x = 25 - 20x + 4x^{2}[/tex]

[tex]0=4x^{2} -101x+25[/tex]

[tex]0 = 4x^{2} -1x-100x+25[/tex]

[tex]0=x(4x-1)-25(4x-1)\\0=(x-25)(4x-1)[/tex]

[tex]x=25,\frac{1}{4}[/tex]

[tex]2*25+9\sqrt{25} =5\\50+9*5=5\\50+45=5\\95=5[/tex]

[tex]2*\frac{1}{4}+9\sqrt{\frac{1}{4} } =5 \\0.5+9*\frac{1}{2} =5\\0.5+4.5=5\\5=5[/tex]

Answer:

[tex]x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given equation:

[tex]2x+9\sqrt{x}=5[/tex]

Subtract 2x from both sides to isolate the square root:

[tex]\implies 2x+9\sqrt{x}-2x=5-2x[/tex]

[tex]\implies 9\sqrt{x}=5-2x[/tex]

Square both sides to eliminate the square root:

[tex]\implies (9\sqrt{x})^2=(5-2x)^2[/tex]

[tex]\implies 81x=(5-2x)(5-2x)[/tex]

[tex]\implies 81x=25-20x+4x^2[/tex]

Subtract 81x from both sides:

[tex]\implies 81x-81x=25-20x+4x^2-81x[/tex]

[tex]\implies 0=25-101x+4x^2[/tex]

[tex]\implies4x^2-101x+25=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=4 \cdot 25=100[/tex]

[tex]\implies b=-101[/tex]

Therefore, the two numbers are -1 and -100 as:

[tex]\implies -1 \cdot -100=100=a[/tex]

[tex]\implies -1+(-100)=-101 =b[/tex]

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies4x^2-x-100x+25=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(4x-1)-25(4x-1)=0[/tex]

Factor out the common term (4x - 1):

[tex]\implies (x-25)(4x-1)=0[/tex]

Apply the zero-product property:

[tex](x-25)=0 \implies x=25[/tex]

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

Input each solution into the original equation to check its validity:

[tex]\begin{aligned}x=25 \implies 2(25)+9\sqrt{25}&=5\\50+9(5)&=5\\50+45&=5\\95 & \neq 5\end{aligned}[/tex]

Therefore, x = 25 is not a valid solution.

[tex]\begin{aligned}x=\dfrac{1}{4}\implies 2\left(\dfrac{1}{4}\right)+9\sqrt{\dfrac{1}{4}}&=5\\\dfrac{1}{2}+9(\dfrac{1}{2})&=5\\\dfrac{1}{2}+\dfrac{9}{2}&=5\\\dfrac{10}{2}&=5\\5 & = 5\end{aligned}[/tex]

Therefore x = ¹/₄ is a valid solution.

Therefore, the only valid solution to the equation is x = ¹/₄.

the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

We are given a polynomial:

7 + 5 x⁴ - 3 x²

We need to tell the number of roots that the polynomial has.

a polynomial is an expression consisting of indeterminates and coefficients.

It is the one that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Example: x² − 4x + 7.

We know that:

Number of roots = highest power of the variable of the polynomial

Here, the number of roots will be:

roots = 4

Therefore, we get that, the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

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The option that describes Myra’s distance as time increases is increasing.

Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.

Change in distance run per time = change in distance / change in time

(0.4 - 0) / (2 - 0)

0.4 / 2 = 0.2

Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.

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Answer:

the answer is increasing

Answer:

circumcentre

Step-by-step explanation:

the point of intersection of of the perpendicular bisectors of the triangle's sides is called the circumcentre.

The circumcentre is equally far away from the triangle's 3 vertices.

[tex]\displaystyle\\Answer:\ 6\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\4\frac{2}{3} -(-1\frac{1}{2})=\\\\ 4\frac{2}{3} +1\frac{1}{2}=\\\\\frac{4*3+2}{3} +\frac{1*2+1}{2}=\\\\\frac{12+2}{3}+\frac{2+1}{2}=\\\\\frac{14}{3}+\frac{3}{2}=\\\\\frac{(14)(2)+(3)(3)}{(3)(2)} =\\\\\frac{28+9}{6} =\\\\\frac{37}{6} =\\\\\frac{36+1}{6}=\\\\\frac{36}{6} +\frac{1}{6}=\\\\\frac{(6)(6)}{6}+\frac{1}{6}=\\\\6+\frac{1}{6}=\\\\6\frac{1}{6}[/tex]

Answer: she spent 40 minutes answering the phone calls

Step-by-step explanation:  

Its 40 minutes because she spends 20 minutes delivering flowers and she worked at the hospital for 60 minutes that day. So, if you take away the 20 minutes for the 60 minutes, she spent she will only have 40 minutes left to answer calls.

Given u = [-5 3], v = [4 -3] , and w = [2 2], by applying addition and scalar multiplication of vectors, 2u + 3v = [2, -3]

In the 2D coordinate system, vectors can be split into x-component and y-component.

A vector s = [3,–1], which means:

x-component = 3

y-component = –1

Some vector operations:

In the given problem:

u = [-5 3], v = [4 -3] , and w = [2 2]

Then,

2u = 2.[-5 3]

    = [2.(-5), 2. 3] = [-10, 6]

3v = 3. [4 -3]

     = [3. 4, 3. (-3)] = [12, -9]

Hence,

2u + 3v =  [-10, 6] + [12, -9]

            = [-10+12, 6-9]

            = [2, -3]    

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12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

Given: 12[tex]y^{-2}[/tex] = 20

=> [tex]\frac{12}{y^2}[/tex] = 20

=> [tex]\frac{12}{20} = y^2[/tex]

=> [tex]y^2 = \frac{3}{5} = 0.6[/tex]

=> y = 0.774.

Hence, 12[tex]y^{-2}[/tex] = 20 => y = 0.774, by basic algebra.

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Answer: 3657

Step-by-step explanation:

18-15=3

15-12=3

3 ==> rate of change per term

3*46=138

138-3=135

135+12=147 ==> 46th term

Now find the average of the first and 46th term of the sequence:

(147+12)/2=

159/2=79.5

Now multiply the average by 46 to find the sum of the sequence.

79.5*46=

159*23=3657 ==> sum of 46 terms

Answer: Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

Step-by-step explanation:

Define Equivalent ratio:

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

All equivalent fractions get reduced to the same fraction in their simplest form.

Explanation:

All those fractions obtained by multiplying both the numerator and denominator of 12/3 by the same integer are equivalent to 12/3.

12/3 × 2/2  = 24/6 = 4

12/3 × 3/3 = 36/9 = 4

12/3 × 4/4 = 48/12 = 4

4, 4, 4,  ... are equivalent to 12/3.

All those fractions obtained by multiplying both the numerator and denominator of 4/4 by the same integer are equivalent to 4/4.

4/4 × 2/2  = 8/8 = 1

4/4 × 3/3 = 12/12 = 1

4/4 × 4/4 = 16/16 = 1

1, 1,1,  ... are equivalent to 4/4.  

Therefore,

Equivalent ratios for 1 2/3:4/4 = 24/6:8/8, 33/9:12/12, 48/12:16/16

Three Equivalent ratios for 1 2/3:4/4 = 4:1, 4:1, 4:1

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