-1>2.5 true or false

Answer:

Firstly we need to find the gradient of give two points as follows;

M= y

Answer:

Answer: y = -x - 1

Step-by-step explanation:

- Consider a straight line passing through (x, y) from the origin (0, 0). That line with a positive gradient of m and meets at a point (0, c) [y-intercept]

- It has a general equation as below;

\({ \rm{y = mx + c}} \\ \)

- So, consider the line given in our question; Let's find its slope m first;

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \)

- From the points given in the question, (-7, 6) and (3, -4)

\({ \rm{m = \frac{ - 4 - 6}{3 - ( - 7)} }} \\ \\ { \rm{m = \frac{ - 10}{10} }} \\ \\ { \underline{ \rm{ \: m = - 1 \: }}}\)

- Therefore, our equation so far is y = -x + c. Our line has a negative slope that means it slants from top to bottom, its origin is its y-intercept

- Consider point (3, -4);

\({ \rm{y = - x + c}} \\ { \rm{ - 4 = - 3 + c}} \\ { \rm{c = - 1}}\)

- y-intercept is -1

hence equation is y = -x - 1

\({ \boxed{ \delta}}{ \underline{ \mathfrak{ \: \: beicker}}}\)

By evaluation, the values of the rational function are f(11) = - 1 / 12 and f(- 2) = 1, respectively.

In this problem we find the case of a rational function that must be evaluated at two different x-values: x = 11, x = - 2. The procedure is summarized below:

Now we proceed to present the complete procedure:

f(11) = 11 / (11 + 1) - 1

f(11) = 11 / 12 - 1

f(11) = 11 / 12 - 12 / 12

f(11) = (11 - 12) / 12

f(11) = - 1 / 12

f(- 2) = (- 2) / (- 2 + 1) - 1

f(- 2) = - 2 / (- 1) - 1

f(- 2) = 2 - 1

f(- 2) = 1

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Answer:

price per can is 0.5

Step-by-step explanation:

Answer:

721/1000

Step-by-step explanation:

0.721/1 × 1000/1000=721/1000

\(10x^{4k+6}-7x^{2k+3}-12\qquad \begin{cases} 4k+6=2(2k+3)\\\\ \stackrel{\textit{let's call}}{2k+3=u} \end{cases}\implies 10x^{2u}-7x^u-12 \\\\\\ 10(x^u)^2-7(x^u)-12\implies ( ~~2x^u-3 ~~ )( ~~5x^u+4 ~~ ) \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{6em} \stackrel{\textit{substituting back}}{ {\Large \begin{array}{llll} ( ~~2x^{2k+3}-3 ~~ )( ~~5x^{2k+3}+4 ~~ ) \end{array}}}~\hfill \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(20d^{2r+16}-23d^{r+8}+6\qquad \begin{cases} 2r+16=2(r+8)\\\\ \stackrel{\textit{let's call}}{r+8=u} \end{cases}\implies 20d^{2u}-23d^u+6 \\\\\\ 20(d^u)^2-23(d^u)+6\implies ( ~~ 4d^u-3 ~~ )( ~~ 5d^u-2 ~~ ) \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{6em} \stackrel{\textit{substituting back}}{ {\Large \begin{array}{llll} ( ~~ 4d^{r+8}-3 ~~ )( ~~ 5d^{r+8}-2 ~~ ) \end{array}}}\)

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

STEP  

2

:

Equation at the end of step

2

:

STEP

3

:

           10x3 - 3x2 - 7x + 3

Simplify   ———————————————————

                 2x - 1        

Checking for a perfect cube :

3.1    10x3 - 3x2 - 7x + 3  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  10x3 - 3x2 - 7x + 3  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x + 3  

Group 2:  10x3 - 3x2  

Pull out from each group separately :

Group 1:   (-7x + 3) • (1) = (7x - 3) • (-1)

Group 2:   (10x - 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = 10x3 - 3x2 - 7x + 3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  10  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1,2 ,5 ,10

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -1       2        -0.50        4.50      

     -1       5        -0.20        4.20      

     -1       10        -0.10        3.66      

     -3       1        -3.00        -273.00      

     -3       2        -1.50        -27.00      

     -3       5        -0.60        3.96      

     -3       10        -0.30        4.56      

     1       1        1.00        3.00      

     1       2        0.50        0.00      2x - 1  

     1       5        0.20        1.56      

     1       10        0.10        2.28      

     3       1        3.00        225.00      

     3       2        1.50        19.50      

     3       5        0.60        -0.12      

     3       10        0.30        0.90      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  10x3 - 3x2 - 7x + 3  

can be divided with  2x - 1  

Polynomial Long Division :

3.4    Polynomial Long Division

Dividing :  10x3 - 3x2 - 7x + 3  

                             ("Dividend")

By         :    2x - 1    ("Divisor")

dividend     10x3  -  3x2  -  7x  +  3  

- divisor  * 5x2     10x3  -  5x2          

remainder         2x2  -  7x  +  3  

- divisor  * x1         2x2  -  x      

remainder          -  6x  +  3  

- divisor  * -3x0          -  6x  +  3  

remainder                0

Quotient :  5x2+x-3  Remainder:  0  

Trying to factor by splitting the middle term

3.5     Factoring  5x2+x-3  

The first term is,  5x2  its coefficient is  5 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   5 • -3 = -15  

Step-2 : Find two factors of  -15  whose sum equals the coefficient of the middle term, which is   1 .

     -15    +    1    =    -14  

     -5    +    3    =    -2  

     -3    +    5    =    2  

     -1    +    15    =    14  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

3.6    Cancel out  (2x-1)  which appears on both sides of the fraction line.

Final result :

 5x2 + x - 3

The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.

To calculate the quotient of the equation 10x³-3x²-7x+3 when it is divided by 2x-1, we use the quotient theorem.

Remainder theorem

The quotient theorem states that if f(x) is divided by x-a, then the remainder is f(a).

From the question,

Given:

The quotient is f(1/2), we substitute the value of x as 1/2 into equation 1

Hence, The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.

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The partial products of 3706 × 4 is ( 3000 × 4 ) + ( 706 × 4 ).

Calculating the product of two or more numbers is the procedure known as multiplication in mathematics. When two integers are multiplied together in mathematics, the result is a product or an expression that describes the factors to be multiplied.

The decimal numeral system is widely used to express both integer and non-integer numbers. The way of representing numbers in the decimal system is known as decimal notation.

The given product is 3706 × 4 and can be written as:-

3706 × 4 = [ 3000 + 706 ] × 4

3706 × 4 = ( 3000 × 4 ) + ( 706 × 4 )

Therefore, the partial products of the given expression is ( 3000 x 4 ) + ( 706 x 4 ).

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Answer:

Circle Graph

Step-by-step explanation:

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

Solution -

\(Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} \)

Further ,

value of \(\bold\orange{\sqrt{3} = 1.732}\)

therefore ,

\(Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}\)

hope helpful :D

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

The intervals of each behavior of the function are given as follows:

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In the given Quadrilateral, The measure of ∠x=110°.

what are quadrilaterals?

Quadrilaterals are four-sided polygons. They are two-dimensional shapes with four straight sides, four vertices, and four angles which have sum of 360°. Quadrilaterals can have parallel sides, opposite sides that are congruent, opposite angles that are congruent, and diagonals that bisect each other. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

Now,

For given Quadrilateral

three angles given are 128°, 82° and 40° and 4th angle=x°.

To find x

As we know

Sum of all interior angles of a quadrilateral=360°

128°+82° +40° +x°=360°

x=360-250

x=110°

hence,

          the measure of ∠x=110°.

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On a number line, 7.05 would be located

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

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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Answer:

convergent boundaries = collied with each other

divergent bounaries = move away from each other

transform boundiares= slide along each other

Step-by-step explanation:

Answer: Therefore, the probability of not landing on blue when spinning the spinner once is 62.5%.

Step-by-step explanation:  There are 8 sections on the spinner, and 3 of them are blue. Therefore, the probability of landing on blue is:

P(blue) = 3/8 = 0.375

The probability of not landing on blue is the complement of the probability of landing on blue:

P(not blue) = 1 - P(blue) = 1 - 0.375 = 0.625

To convert this probability to a percentage, we can multiply by 100:

P(not blue) = 0.625 x 100% = 62.5%

Answer:

y<5/3 I believe. sorry if I am wrong!

Answer:

True

Step-by-step explanation:

Answer:

I think 22.2814177

Step-by-step explanation:

I used 3.14 that's what my teachers tell me to use sorry if it's wrong

Answer: 22.2927232313

Step-by-step explanation: *Pi = 3.14159265359

                                              *3.14159265359 x 2444.57 = 7,679.84315319

                                               *7,679.84315319 ÷ 344.5 = 22.2927232313

    Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)

Refer to the attachment for graph.

What are vector equations ?

Vector equations allow for the creation of parametric curves. That is, points in space are formed for each value of the parameter by the equation of a vector, where each of its elements has a function with an independent variable that we refer to as a parameter.

Given  vector equation:

r(t) = < t², t, 2 >

When t= -2,

r(-2) = < (-2)², -2, 2 >

      =  < 4, -2, 2 >

This means. when t= -2, the curve touches the point   ( 4, -2, 2 )

Similarly, when t= -1, the curve touches the point   ( 1, -1, 2 )

Table is attached.

graph is attached.

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The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

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Answer:

y=-1/3x+5

Step-by-step explanation:

A perpendicular line has to be the opposite reciprocal. And the the y intercept doesnt matter (y=mx+b) b doesnt matter

Answer:

\(y=-\frac{1}{3}x-1\)

Step-by-step explanation:

So we want to write an equation for a line perpendicular to 3y-9x=-15 and which passes through the points (9,-4).

First, let's determine the slope of our new line.

To do so, let's put the original equation into slope-intercept form. So we have:

\(3y-9x=-15\)

Add 9x to both sides:

\(3y=9x-15\)

Divide both sides by 3:

\(y=3x-5\)

So, the slope of our original equation is 3.

Perpendicular lines have slopes who are negative reciprocals of each other.

In other words, to find the slope of our new line, we simply need to flip our old slope and add a negative.

Therefore, our new slope is -1/3.

Now, we can use the point-slope form to find the equation of our new line. The point-slope form is:

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is a point.

Let's substitute -1/3 for m and (9,-4) for (x₁, y₁), respectively. Therefore:

\(y-(-4)=-\frac{1}{3}(x-9)\)

Simplify:

\(y+4=-\frac{1}{3}(x-9)\)

Distribute on the right:

\(y+4=-\frac{1}{3}x+3\)

Subtract 4 from both sides:

\(y=-\frac{1}{3}x-1\)

So, our new equation is:

\(y=-\frac{1}{3}x-1\)

Answer:

Step-by-step explanation:

\(|4w+3|\\w =-2\\\)

Substitute ; w= -2 into the given equation

\(|4(-2)+3|\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\left|-4\cdot \:2+3\right|\\\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=\left|-8+3\right|\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+3=-5\\=\left|-5\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\)

Answer:

2

Step-by-step explanation:

on Edge

Answer: 2

Step-by-step explanation:

have a great day!

Answer:

B

9/12 carton

Step-by-step explanation:

Get both fractions to have the same denominator.

So make 3 into 12 by multiplying numerator and denominator by 4.

1×4/ 3×4 = 4/12

Now you can add the fractions.

5/12 + 4/12

= 9/12 Carton