Is this solution to the quadratic equation written below rational or irrational? Justify your answer. 0=2x^2+3x-10

Answers

Answer 1

Solution:

Consider the following quadratic equation:

\(2x^2+3x-10=0\)

to solve this equation, we apply the quadratic formula, to obtain the following solutions:

\(x=\frac{-3+\sqrt[]{89}}{4}\)

and

\(x=\frac{-3-\sqrt[]{89}}{4}\)

note that the square root of 89 is irrational then the whole number is irrational. We can conclude that the solutions of the given quadratic equation are

IRRATIONAL.


Related Questions

MN has a slope of 4/5 and PQ has a slope of -4/5.Are the lines parallel, perpendicular, or neither?

Answers

Answer:

neither

Step-by-step explanation:

Can yall helppp !! This is Pythagorean Theorem (Level 1) math pleaseee I need helpp :'(

Can yall helppp !! This is Pythagorean Theorem (Level 1) math pleaseee I need helpp :'(

Answers

the answer would be square root of 50

Answer:

sorry for spamming

Step-by-step explanation:

Indian version of brainly is a good place for cha*ting

you can also join if u wish

Is -(55/11) equal to -5

Answers

The answer is yes, -(55/11) is equal to -5

15. Alfredo is buying a watch for $200. He will make an initial payment of $50 and then pay the remaining balance in payments of $15 per week. Which function can be used to find a, the amount he will still need to pay at the end of n weeks?​

Answers

Answer:

15n + 50 = 500

Step-by-step explanation:

find the product using suitable rearrangement (-18) multiply (-10) multiply 9​

Answers

Answer:

1620

Step-by-step explanation:

(-18)×(-10)×9= 1620

HELPPPPPPPPPPPPPPPPPPPPPPPPPP
complete the synthetic division below

HELPPPPPPPPPPPPPPPPPPPPPPPPPPcomplete the synthetic division below

Answers

The quotient in polynomial form is C. x² - x ₊ 1.

What is synthetic division?

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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The width of a rectangle is 19 feet more than the length. The perimeter is 202 feet. Find the length and width.

Answers

Answer:

Let length be x

Therefore, Breadth =x+19

PERIMETER =2(l+b)

202=2(x+x+19)

101=2x+19

2x=82

x=41

Therefore,

Length=41

Breadth=60

Answer:

41 feet (lenght)60 feet (width)

Step-by-step explanation:

The width of a rectangle is 19 feet more than the length. The perimeter is 202 feet. Find the length and width.

[(202 - 2 * 19) : 2] : 2 = 41 feet (lenght)

41 + 19 = 60 feet (width)

--------

check

(41 + 60) * 2 = 202

the answer is good

What is the total amount of outcomes possible when a coin is tossed four times and a card if selected from a standard deck of cards.

Answers

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

What is the solution to the equation below?

y + 4.73 = 8.0


A. y = 12.73 B. y = 3.93 C. y = 4.27 D. y = 3.27

Answers

Answer :

It is D because you have to subtract 4.73 from both sides in order to isolate the y by itself and get the answer which is 3.27

Step-by-step explanation:

             - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- -

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

What is the solution to the equation below?

y+4.73=8.0

\(\blue{\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}\)

To solve it, simply subtract 4.73 from both sides:-

y=3.27 (Option D)

Good luck.

         - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - -

First, rewrite 5/7 and 8/11 so that they have a common denominator.

Answers

common denominator = 7x11 = 77

5/7 = (5x11) / (7x11) = 55/77

and

8/11 = (8x7) / (11x7) = 56/77

5/7 and 8/11 can be rewritten as 55/77 and 56/77, respectively, so that they have a common denominator of 77.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To rewrite 5/7 and 8/11 with a common denominator:

We can find the least common multiple (LCM) of the denominators 7 and 11, which is 77.

Then, we can multiply each fraction by the appropriate form of 1 so that the denominators are equal to 77.

Here are the steps:

5/7 = (5/7) x (11/11) = 55/77 (multiply the numerator and denominator of the first fraction by 11)

8/11 = (8/11) x (7/7) = 56/77 (multiply the numerator and denominator of the second fraction by 7)

Therefore, 55/77 and 56/77 are the required fractions.

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A 174-inch board is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.The short piece is ________The long piece is_________

Answers

Given:

A 174-inch board is cut into two pieces. One piece is five times the length of the other.

To find:

the lengths of the two pieces.

Solution:

Let the length of the smaller piece be x. So, the length of the longer piece is 5x.

According to the question,

\(\begin{gathered} x+5x=174 \\ 6x=174 \\ x=29 \end{gathered}\)

So, the length of the smaller piece is 29 inches and the length of the longer piece is 29 x 5 = 145 inches.

Thus, the short piece is 29 inches and the long piece is 145 inches.

help me with my work pls

help me with my work pls

Answers

Answer:

-75/4

Step-by-step explanation:

75 x 100 = 7500

4 x 100 = 400

Please tell me the answer and how to do it.

Please tell me the answer and how to do it.

Answers

Answer:

there is no constant rate

Step-by-step explanation:

at first i thought it was 25 cents for each, but once i saw the last 3, it broke the rate.

Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs
of which 2 are defective, Box 2 has 1 defective and 3 functional bulbs and Box 3
contains 3 defective and 4 functional bulbs. A box is selected at random and a bulb
drawn from it at random is found to be defective. Find the probability that the box
selected was Box 2.

Answers

Answer:

1/6

Step-by-step explanation:

As we already know that selected bulb is defective the required probability doesn't depend on functional bulbs at all.

The probability, that selected defective bulb is from Box2 is number of defective bulbs in Box 2  divided by total number of defective bulbs.

P(defective in box 2)= N(defective in box 2)/N(defective total)

As we know there is only 1 defective lamp in box 2.

So N(defective in box 2)=1

Total number of defective bulbs is Box1- 2 defective  bulbs,  box2- 1 defective bulbs, box3 - 3 defective bulbs. Total are 6 defective bulbs.

So N(defective total)=6

So P(defective in box 2)=1/6

Need help with geometry dialation

Need help with geometry dialation

Answers

The vertices of triangle DEF after dilation are D'(4, -M), E'(-2, M) and F'(-2, -M)

What is dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given a triangle DEF which is being dilated by a dilation factor of (2,M) we need to find the vertices of the image,

The vertices before dilation are D(2, -1), E(-1, 1) and F(-1, -1)

Since, the dilation factor is (2,M), so the new vertices are,

D'(2×2, -1×M)

D'(4, -M)

E'(-1×2, 1×M)

E'(-2, M)

F'(-1×2, -1×M)

F'(-2, -M)

Hence, the vertices of triangle DEF after dilation are D'(4, -M), E'(-2, M) and F'(-2, -M)

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there are 30 students in mrs woodwards class and 1/5 has their own cwll phone. of this group, 1/2 are allowed to use social media. how many students habe cell phones and can use soical media?

Answers

Answer:

Three people have phones and use social media

Step-by-step explanation:

1/5 of 30 is 6

1/2 of 6 is 3

The coordinates of G are

The coordinates of G are

Answers

The coordinates of vertex G are (2,0). I did this.

explain the types of frequency distribution in statistics




Answers

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

What are the types of distribution?

The two types of frequency distributions are;

Discrete Frequency Distribution:Grouped Frequency Distribution

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The equation of a circle is x² + y²-6y+1=0. What are the coordinates of
the center and the length of the radius of this circle?
(1) center (0,3) and radius 2√2
(2) center (0,-3) and radius 2√2
(3) center (0.6) and radius √35
(4) center (0,-6) and radius √35

Answers

Answer:

center (0, 3) and radius 2√2

Step-by-step explanation:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

where:

(a, b) is the centerr is the radius

Given equation:

\(x^2+y^2-6y+1=0\)

Subtract 1 from both sides:

\(\implies x^2+y^2-6y=-1\)

To create a trinomial with variable y, add the square of half the coefficient of the y term to both sides:

\(\implies x^2+y^2-6y+\left(\dfrac{-6}{2}\right)^2=-1+\left(\dfrac{-6}{2}\right)^2\)

\(\implies x^2+y^2-6y+9=8\)

Factor the trinomial with variable y:

\(\implies x^2+(y^2-6y+9)=8\)

\(\implies x^2+(y-3)^2=8\)

Factor \(x^2\) to match the general form for the equation of a circle:

\(\implies (x-0)^2+(y-3)^2=8\)

Compare with the general form of the equation for a circle:

\(\implies a=0\)

\(\implies b=3\)

\(\implies r^2=8 \implies r=2\sqrt{2}{\)

Therefore, the center is (0, 3) and the radius is 2√2

i-Ready
◄» Mrs. Garcia is making brend using a total of 400 grams of gluten-free flour. The recipe calls
for 70% of the flour to be almond flour. She needs to know how much almond flour to use.
How do you write 70% as a rate

Answers

Therefore , Mrs. Garcia needs 280 grams of gluten-free flour.

Which of the several equation types is present?

Equations are classified by identity equations or conditional equations. There is an identity for each possible value of the variables. A conditional equation can only have a certain set of variable values. Equation is represented by equals ("="), which divides two expressions.

Here,

Mrs. Garcia  needs 70% of the flour to be almond flour

Thus ,

70% of 400 is

=> 70/100*400 =  280

Therefore , Mrs. Garcia needs 280 grams of gluten-free flour.

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A math class consists of 12 female students and 21 male students. Two students are selected at random to participate in a probability experiment. Compute the following probability. Write your answer in decimal form. Round to the nearest thousandth as needed.

No males are selected.​

Answers

Answer:

the answer would be 0.364

There are 35 fish in a tank, and 40% of the fish are orange.

How many of the fish are orange?

A. 4 fish

B. 5 fish

C. 14 fish

D. 21 fish

Answers

C 14 fishhhhhhhhhhhhhhhh

Answer:

C

Step-by-step explanation:

Converting 40% into a decimal would be .40

Since you want to find 40% of 35, we would multiply

(35)(.40) = 14

simplify the expression

simplify the expression

Answers

Answer:

The answer is C.

Step-by-step explanation:

Multiplying the exponents is adding them together.

Answer:

x^8

Step-by-step explanation:

Multiply the terms with the same base by adding their expondents

x^6+2^2

add the numbers 6+2= 8

Pleaseeee helpppppppp!!!

Pleaseeee helpppppppp!!!

Answers

Answer:

x = 46°

Step-by-step explanation:

Appling the principle of supplementary angle in Geomentry.

Supplementary angle: These are angles that sum up to 180°

From the diagram above, x and 134° are supplementry because they sum up to 180°.

Therefore,

134+x = 180 (Supplementary angle)

Solve for x

x = 180-134

x = 46°

Therefore, the value of the missing angle is 46°

HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)

Using these points, the correct graph is shown in option C.

I'd GIVE BRAINLY
On Monday, Carlos ate seven ninths of a blueberry tart and on Tuesday he ate five ninths a strawberry tart. How many tarts did Carlos eat in total? Use the benchmarks one half, 1, and 0 to help you estimate each answer before you solve.

one and three ninths tarts
two ninths tart
one and five ninths tarts
ninth twelfths tart

Answers

Answer:

one and three ninths tarts.

Step-by-step explanation:

7/9+5/9=12/9. Convert to a mixed number so subtract 9 from 12. 1 3/9

Answer:

1 3/9ths

Step-by-step explanation:

What is another way to write the compound inequality y + 3 ≥ 2 and y + 3 ≤ 6 ?

What is another way to write the compound inequality y + 3 2 and y + 3 6 ?

Answers

Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

How to write a compound inequality in another way?

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

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A rectangular pyramid with a height of 21 cm has a volume of 728 cm³. Calculate the length of its base if its breadth is 8 cm.​

Answers

Hello !

Answer:

\(\Large \boxed{\sf length=13cm}\)

Step-by-step explanation:

The volume of a pyramid is given by \(\sf V_{pyramid}=\frac{1}{3} \times B\times h\) where B is the area of the base and h is the height.

This is a rectangular pyramid. We have where \(\sf B=l\times w\) l is the length and w is the width (breadth).

So \(\sf V_{pyramid}=\frac{1}{3} \times l\times w\times h\)

Given :

h = 21 cmw = 8 cml = x\(\sf V_{pyramid}=728cm^3\)

Let's replace h, w, l, \(\sf V_{pyramid}\) with their values in the previous formula :

\(\sf 728=\frac{1}{3} \times x\times 8 \times 21\\728=56x\)

Let's solve for x !

Divide both sides by 56 :

\(\sf \frac{56x}{56} =\frac{728}{56}\\ \boxed{\sf x=13cm}\)

Have a nice day ;)

a. graph a linear function transformed 2 units up and 3 units down?b. what was the equation of your linear function in slope-intercept form? c. what was the equation of the transformed function in slope-intercept form?

Answers

The graph of linear function y – 2x = 3 is attached. The equation transformed 2 units up and 3 units down are y = 2x + 5 and y = 2x respectively.

In order to graph a linear function, determine the value of y substituting different values of x and plot the resulting coordinates on a graph and connect them with a line. The graph is plotted for the linear function: y – 2x = 3. The slope-intercept form of a linear equation is where one side contains just y and is given in general form: y = mx + b where m is the slope and b is the y-intercept. The slope intercept forms the linear equation is y = 2x + 3.

Function transformation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape. In order to transform the linear function 2 units up, the graph will move up by 2 units. Hence, the slope-intercept form of transformed equation is y = 2x + 3 + 2, hence y = 2x + 5. In order to transform the linear function 3 units down, the graph will move down by 3 units. Hence, the slope-intercept form of transformed equation is y = 2x + 3 - 3, hence y = 2x.

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a. graph a linear function transformed 2 units up and 3 units down?b. what was the equation of your linear

What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?

Answers

The three consecutive multiples of 3 are 15, 18 and 21

To solve this problem

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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