Can someone help me with this please?

Can Someone Help Me With This Please?

Answers

Answer 1

The final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

What are matrices?

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.

The calculation of the given matrix is as follows:-

[tex]\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\[/tex]

[tex]\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right][/tex]

[tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

Hence the final matrix will be as follows   [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]

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Related Questions

Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4

Answers

Step-by-step explanation:

this is the answer

hope it help

At Frosty Freeze, 14 of the last 18 sundaes sold had nuts. What is the experimental probability that the next sundae sold will have nuts?

Answers

Answer:

The correct answer is:

P(nuts)=7/9

Step-by-step explanation:

The experimental probability that the next sundae sold will have nuts is

7/9

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex]  is denoting the experimental probability of occurrence of E.

We are given that At Frosty Freeze, 14 of the last 18 sundaes sold had nuts.

Therefore,

Probability that the next sundae has nuts is 14/18 = 7/9.

Thus, Probability that the next sundae does not have nuts = 2/9

P(nuts)=7/9

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Jeff sells shirts at a store in the mall. Which group should he survey to determine which color of shirt will have the greatest number sold?

Female customers

customers who are wearing blue

200 random customers

10 friends at work​

Answers

The 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

Jeff sells shirts at a store in the mall.

The selecting the colour of the shirts is subjective.

It also depends on that how many colours that store sell.

Female customers cannot be an option because men also buy shirts and affect the result of the survey.

Customers who are wearing blue data only tells that how many blue shirts sold.

200 random customers. 200 is a sample from a population, so it will give appropriate results about the colour of shirt will have the greatest number sold

Thus, the 200 random customers is the group in which he surveys to determine which colour of shirt will have the greatest number sold, option third is correct.

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find tan (0) from sin 0= 7/9

Answers

Step-by-step explanation:

First, use the Pythagorean theorem to find cos x.

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]

[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]

[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]

Now, use the quotient identity

[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]

[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]

[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]

The answer is A

I really need a help, help help helppp Helpppppp please

Answers

Answer:

I am clueless. Take care though.

Step-by-step explanation:

the coefficients corresponding to k=0,1,2….,5 in the expansion of (x+y)^5 are

Answers

Answer:

  1, 5, 10, 10, 5, 1

Step-by-step explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

  1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

  5!/(k!(5-k)!)

use a formula to find the surface area of the cylinder use 3.14 for pi

Answers

Answer:

376.8 cm²

Step-by-step explanation:

Given:

Radius of circular base: 4 cmHeight of cylinder: 11 cm

Surface area = 2πrh + 2πr²

[Where "r" and "h" represents the radius and the height respectively]

Let's substitute the height and the radius in the formula and simplify it.

[tex]\implies 2\pi rh + 2\pi ^{2}[/tex]

[tex]\implies 2\pi (4)(11) + 2\pi (4)^{2}[/tex]

[tex]\implies 2\pi (44) + 2\pi (16)[/tex]

[tex]\implies 88\pi + 32\pi[/tex]

We can factor π out of the expression. Therefore, we get:

[tex]\implies 88\pi + 32\pi[/tex]

[tex]\implies \pi (88 + 32)[/tex]

Now, simplify the expression inside the parentheses.

[tex]\implies \pi (88 + 32)[/tex]

[tex]\implies \pi (120)[/tex]

The value of π, we are given, is 3.14. When substituted, we get:

[tex]\implies \pi (120)[/tex]

[tex]\implies 3.14(120) = 31.4(12) = \boxed{376.8 \ \text{cm}^{2} }[/tex]

Therefore, the surface area of the cylinder is 376.8 cm².

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Solve for x. Round to the nearest tenth.​

Answers

Answer:

x = 25.84

Step-by-step explanation:

Secx = hyp /adj

Secx = 30/27

x = ArcSec(30/27)

x = 25.84

Can someone please just check my answers over to make sure I got them right. Thank you so much!
Let me know if you need a close up on any of the pictures!

Answers

Answer: they are all correct congrats!

Step-by-step explanation:

Six people want to share five boxes of raisins. How many boxes of raisins will each person get?

Answers

5/6 or 0.83 boxes of raisins

Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°

34°

64°

46°

Answers

Answer: 56°

Step-by-step explanation:

please answer this question​

Answers

Answer:

[tex]a_n=3n-2[/tex]

Step-by-step explanation:

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth term[tex]a[/tex] is the first term[tex]d[/tex] is the common difference between terms

Create expressions for the 4th and 6th terms:

[tex]\implies a_4=a+(4-1)d=a+3d[/tex]

[tex]\implies a_6=a+(6-1)d=a+5d[/tex]

The ratio of the 4th term to the 6th term is 5:8, therefore:

[tex]\implies \dfrac{a_4}{a_6}=\dfrac{5}{8}[/tex]

[tex]\implies \dfrac{a+3d}{a+5d}=\dfrac{5}{8}[/tex]

[tex]\implies 8(a+3d)=5(a+5d)[/tex]

[tex]\implies 8a+24d=5a+25d[/tex]

[tex]\implies 8a-5a=25d-24d[/tex]

[tex]\implies 3a=d \quad \leftarrow \textsf{Equation 1}[/tex]

Sum of the first n terms of an arithmetic series:

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

The sum of the first 7 terms of an arithmetic progression is 70:

[tex]\implies S_7=70[/tex]

[tex]\implies \dfrac{7}{2}[2a+(7-1)d]=70[/tex]

[tex]\implies 2a+6d=20[/tex]

[tex]\implies a+3d=10 \quad \leftarrow \textsf{Equation 2}[/tex]

Substitute Equation 1 into Equation 2 and solve for [tex]a[/tex]:

[tex]\implies a+3(3a)=10[/tex]

[tex]\implies a+9a=10[/tex]

[tex]\implies 10a=10[/tex]

[tex]\implies a=1[/tex]

Substitute found value of [tex]a[/tex] into Equation 1 and solve for [tex]d[/tex]:

[tex]\implies 3(1)=d[/tex]

[tex]\implies d=3[/tex]

Finally, substitute found values of [tex]a[/tex] and [tex]d[/tex] into the general form of the arithmetic sequence:

[tex]\implies a_n=1+(n-1)3[/tex]

[tex]\implies a_n=1+3n-3[/tex]

[tex]\implies a_n=3n-2[/tex]

Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?

Answers

Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,

Number of keychains>(40/2.50)

Number of keychains > 16

Thus, Wyatt needs to sell at least 17 keychains.

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Answer:

Step-by-step explanation:

17

The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.

Answers

Answer:

3 cm

Step-by-step explanation:

Formula :

Area = 1/2 x Base x Height

Given :

Area = 7.5 cmBase = 5 cm

Solving :

Height = 7.5/5 x 2Height = 3 cm

Answer this volume based Question. I will make uh brainliest + 50 points​

Answers

Answer:

[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]

[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]

Step-by-step explanation:

For solid iron sphere:radius (r) = 2 cm (Given)

Formula for [tex]V_{sphere} [/tex] is given as:

[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex]

[tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex]

[tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]

For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4x

Formula for [tex]V_{cone} [/tex] is given as:

[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex]

[tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex]

[tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex]

[tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex]

[tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex]

[tex]\implies 12x^3= \frac{32}{3}[/tex]

[tex]\implies x^3= \frac{32}{36}[/tex]

[tex]\implies x^3= \frac{8}{9}[/tex]

[tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex]

[tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex]

[tex]\because r = 3x [/tex]

[tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex]

[tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex]

[tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex]

[tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex]

[tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:

[tex]log r = log (2\times \sqrt [3]3)[/tex]

[tex]log r = log (2\times 3^{\frac{1}{3}})[/tex]

[tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex]

[tex]log r = log 2+ \frac{1}{3}log 3[/tex]

[tex]log r = 0.4600704139[/tex]

Taking antilog on both sides, we find:

[tex]antilog(log r )= antilog(0.4600704139)[/tex]

[tex]\implies r = 2.8844991406[/tex]

[tex]\implies \huge \red{r = 2.88\: cm}[/tex]

[tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]

Please help me. I don’t understand at all.

Answers

Answer:

Option 2

Step-by-step explanation:

Evaluating the options :

Option 1

2 |x - 5| - 4 < -82 |x - 5| < -4|x - 5| < -2Empty set as modulus cannot be less than 0

Option 2

|2x - 1| - 7 <  -6|2x - 1| < 1x < 1There is a solution set other than empty set

Option 2 is the right answer.

Use the graph to determine the function’s DOMAIN and RANGE

Answers

Answer:

Domain = x ≥ 0

Range = f( x ) ≥ 1

Step-by-step explanation:

The graph starts from 0 in the x - axis and 1 in the y hence the given domain and range.

Stan pays a 10% deposit to put a pool table on lay-by.
If the pool table costs $1590, how much does he have left to pay?

Answers

Answer:

$1431

Step-by-step explanation:

If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.

Including Jose, there are eight people in his family.

If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

35
840
1,680
2,620

Answers

Answer: b=840

Step-by-step explanation:

edge 2022

do good on your tests !!

There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, the order matters, we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

ⁿPₓ = n! / (n - x)!

In this question:

The first seat is Jose's.

The remaining four are organized among the other 7 members. So

There is no difference. So, 7 people can be sit in different ways as;

ⁿPₓ = n! / (n - x)!

⁷P₄ = 7! / (7 - 4)!

     = 7! / 3!

     = 840

So, the correct answer is, 840

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PLEASE HELP ME
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level a.

n=11, a = 0.01

A r=+0.735
B r=+0.602
C r= 0.765
D r= 0.735

Answers

Answer choice D. In order to find the r value, you need to find the degrees of freedom (df). df = n -2. In this case then the degrees of freedom is 9 (11 - 2). Now you use the df, the significance value (also known as p-value), and the critical value table (search it up if you don’t have one) to find that with a df of 9 and a probability value of 0.01, the r = 0.735.

The reason for why the answer is not “A” is due to the fact that we’re finding all of the possible r values, we are not a evaluating r to see whether or not it is significant.

Which of the following statements is true?

A. The experimental probability of an outcome is always the same as the theoretical probability of the outcome

B. The experimental probability of an outcome is never the same as the theoretical probability of the outcome.

C. As the number of trials of a random process decreases, the experimental probability of an outcome approaches the theoretical probability of the outcome

D. As the number of trials of a random process increases, the experimental probability of an outcome approaches the theoretical probability of the outcome

Answers

Answer:

B

Step-by-step explanation:

first of all articles are perfect and there is . sign at the last of the sentence

On his third math quiz of the semester, Cooper answered 28 questions correctly and got 7 wrong. What is the ratio of the number of questions he got right on the quiz to the total number of questions?

Answers

Step-by-step explanation:

Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,

let total number of questions be X,

therefore X = 28+7

= 35

ratio of right answered questions to the total questions, R is

R =

[tex] \frac{28}{35} [/tex]

=

[tex] \frac{4}{5} [/tex]

therefore, the ratio is 4:5

4x+3y=6
-4x+2y=14
Solve the system of equations.

A. x= 1/2, y=3
B. x=3, y =1/2
C. x=4, y = -3/2
D. x=-3/2, y = 4

Answers

Answer:

D

Step-by-step explanation:

4x + 3y = 6

-4x + 2y = 14

0 + 5y / 5 = 20/ 5 = 4 = y

4x + 3(4) = 6

4x + 12 - 12 = 6 - 12

4x / 4 = -6 / 4 = -3 / 2 =x

Find X
A = 49
B = 27
C = 98
D = 76

Answers

Answer:

C=98°

Step-by-step explanation:

125°- 27°

=98°

A triangle has a base of 4 m and a height of 3 m.



What is the area of the triangle?



Enter your answer in the box.




Answers

Answer:

Area of the triangle is 6

Step-by-step explanation:

The formula for the area of a triangle is the base x height / 2. This means we can just plug in the variables and solve

A = b x h/2

A= 4 x 3/2

A= 12/2

A= 6

Answer: 6

Step-by-step explanation:

What is the median of the data represented by the box plot?

Answers

Answer: 20

Step-by-step explanation:

    Box plots give us the median just by looking at them. See attached.

1: solve the following pair of equations simultaneously using the method stated.

a) 2x-3y = 5 and 3x+4y = 6 (elimination method)

b) 4x-y = 9 and 3xy = -6 (substitution method)

c) y=x^2 - 2x and y = 2x -3 (substitution method)​

Answers

Answer:

Your answers are below ↓

Step-by-step explanation:

Given ↓

A) 2x-3y = 5 and 3x+4y = 6  ( The method this has to be solved in is the elimination method. )

Now using these,

(1)×3 - (2)×2 = 6x + 9y - 6x - 8y = 15 - 12

therefore,

y = 3

putting the value of y in eqn. (1)

2x + 6 = 5

therefore,

x = -1/2

B)  y=x^2 - 2x and y = 2x -3  ( The method this has to be solved in is the substitution method. )

Reduce the greatest common factor on both sides of the equation:
[tex]\left \{ {{4x-y=9} \atop {xy=-2}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-y=9-4x} \atop {xy=-2}} \right.[/tex]

Divide both sides of the equation by the coefficient of the variable:

[tex]\left \{ {{y=-9+4x} \atop {xy=-2}} \right.[/tex]

Substitute the unknown quantity into the elimination:

[tex]x(-9+4x)=-2[/tex]

Apply Multiplication Distribution Law:

[tex]-9x+4x^2=-2[/tex]

Reorder the equation:

[tex]4x^2-9x=-2[/tex]

Divide the equation by the coefficient of the quadratic term:

[tex]\frac{1}{4}(4x^2)+\frac{1}{4}(-9x)=\frac{1}{4}*(-2)\\[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}=-\frac{1}{2}[/tex]

Add one term in order to complete the square:

[tex]x^2-\frac{9x}{4}+(\frac{9}{4}*\frac{1}{2})^2=-\frac{1}{2}+(\frac{9}{4}*\frac{1}{2})^2[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}+(\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Factor the expression using [tex]a^2$\pm$2ab+b^2=(a$\pm$b)^2[/tex]:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Simplify using exponent rule with the same exponent rule: [tex](ab)^n=a^n*b^n[/tex]

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +\frac{9^2}{8^2}[/tex]

Calculate the power:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2}+\frac{81}{64}[/tex]

Find common denominator and write the numerators above the denominator:

[tex](x-\frac{9}{8} )^2=\frac{-32+81}{64}[/tex]

Calculate the first two terms:

[tex](x-\frac{9}{8} )^2=\frac{49}{64}[/tex]

Rewrite as a system of equations:

[tex]x-\frac{9}{8} =\sqrt{\frac{49}{64} }[/tex] or [tex]x-\frac{9}{8} =-\sqrt{\frac{49}{64} }[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=\frac{\sqrt{49} }{\sqrt{64} } +\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:

[tex]x=\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over the common denominator:

[tex]x=\frac{7+9}{8}[/tex]

Calculate the first two terms:
[tex]x=\frac{16}{8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

[tex]x=2[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=-\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{a} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=-\frac{\sqrt{49} }{\sqrt{64} }+\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:
[tex]x=-\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=-\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over common denominator:

[tex]x=\frac{-7+9}{8}[/tex]

Calculate the first two terms:

[tex]x=\frac{2}{8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

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

Find the union of solutions:

[tex]x=2[/tex] or [tex]x=\frac{1}{4}[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*2[/tex]

Calculate the first two terms:

[tex]y=-9+8[/tex]

Calculate the first two terms:

[tex]y=-1[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*\frac{1}{4 }[/tex]

Reduce the expression to the lowest term:

[tex]y=-9+1[/tex]

Calculate the first two terms:

[tex]y=-8[/tex]

Write the solution set of equations:
[tex]\left \{ {{x=2} \atop {y=-1}} \right.[/tex] or [tex]\left \{ {{x=\frac{1}{4} } \atop {y=-8}} \right.[/tex]   -------> Answer

C)   y=x^2 - 2x and y = 2x -3 ( This method this has to be solved in is the substitution method. )

Step 1: We start off by Isolating y in y = 2x - 3

y=2x-3 ----------> ( Simplify )

y+(-y)=2x-3+(-y)   ---- > ( Add (-y)on both sides)

0=-3+2x-y

y/1 = 2x-3/1 --------> (Divide through by 1)

y = 2x - 3

We substitute the resulting values of y = 2x - 3 and y = x^2 - 2x

(2 * x - 3) = x^2 - 2x ⇒ 2x -3 = x^2 - 2x ---->   ↓

                                               (Substituting 2x - 3 for y in y = x^2 -2x )

Next: Solve (2x - 3 = x^2 - 2x) for x using the quadratic formular method

2x - 3 = x^2 - 2x

x = -b±b^2-4ac/2a  Step 1: We use the quadratic formula with  ↓

                                                                                         a = -1,b=4,c= - 3

x = -4±(4)^2-4(-1)(-3)/2(-1) Step 2: Substitute the values into the Quadratic  Formular

x = -4± 4/ - 2         x = 1 or x = 3        Step 3: Simplify the Expression & Separate Roots

x = 1 or x = 3  ------- ANSWER

Substitute 1 in for x in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (1)  - 3 (Substituting)

y = -1 (Simplify)

Substitute 3 for in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (3) - 3 (Substituting)

y =  3   (Simplify)

Therefore, the final solutions for y = x^2 -2x; y = 2x - 3 are

x₁ = 1, y₁ = -1

x₂ = 3, y₂ = 3              

solve the equation 1/x+3/x=16​

Answers

[tex] \frac{1}{x} + \frac{3}{x} = 16 \\ [/tex]

[tex] \frac{4}{x} = 16 \\ [/tex]

[tex]16x = 4[/tex]

[tex]x = \frac{4}{16} \\ [/tex]

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

[tex] \begin{gathered}\\ \large\implies\sf{ \frac{1}{x} + \frac{3}{x} = 16} \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ \frac{4}{x } = 16 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\implies\sf{ x = 16 \times 4 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \implies \orange{\underline{\boxed{\large\frak \pink{x = 64 }}}} \\ \end{gathered}[/tex]

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1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m

Answers

Answer:

560

Step-by-step explanation:

16 times 5 times 4=320

6 times 16 divide 2 then multiple 5

If h(x)=(0,-9),(5,2)(8,-3),(10,11) which set of ordered pairs represents the inverse of h(x)

Answers

Set of ordered pairs is {(-9,0),(2,5)(-3,8),(11,10)

What is ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

Given:

h(x)=(0,-9),(5,2)(8,-3),(10,11)

The inverse of anything interchange the position of variables or numbers or etc.

In ordered set the inverse will be x- coordinate become y- coordinate and y- coordinate become x- axis.

Learn about this concept here:

https://brainly.com/question/3255711

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