Select all equations that have a solution of 0.

a. 4x + 1 = 4x - 1
b. 2 (x + 6) = 3 (x + 4)
c. 2x + 5 = 11
d. 3x + 8 = 2x + 8

An analogous equation can be created by factoring a quadratic equation. 5x^2 = (x-2) * (x+2) + 488 can give integers 9, 11,13.

In algebra, quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as

[tex]{ax^{2}+bx+c=0}[/tex]

where a 0 and x denotes an unknown and a, b, and c denote known numbers, Since there is no ax2 term, the equation is linear (and not quadratic) if a = 0 (and b 0). The coefficients of the equation, denoted by the numbers a, b, and c, are the quadratic coefficient, linear coefficient, and constant or free term, respectively.

The roots or zeros of the expression on the left-hand side of the equation are the values of x that fulfill the equation. There can only be two solutions to a quadratic problem. One claims that a problem is a double root if there is just one solution. There are either two real solutions, one real double root, two complex solutions that are complex conjugates of one another, or two real solutions if all the coefficients are real values. If complex roots are included, a quadratic equation will always have two roots; a double root counts as two. An analogous equation can be created by factoring a quadratic equation.

According to the formula, if 5x2 = x2 - 4 + 488, then 5x2 = x2 + 484.

For 4x2 = 484, subtract x2 from each side, resulting in x2 = 121.

For x = 11, square root each side.

TEST: 5*121 = 9*13 + 488, so 605 is equal to 117 plus 488.

The middle odd number, x, is equal to 11.

The figures are 9, 11, and 13.

To know more about quadratic visit: https://brainly.com/question/13674982

#SPJ9

Answer: 9/4 and -2/1 (or -2)

Step-by-step explanation: Reciprocals are just the fraction flipped

Answer: -21x^3 + 28x^2 y

Mang Efren's present age is 30 years.

Let's assume the present age of Mang Efren's son is x years.

Mang Efren is presently 5 times as old as his son.

So, Mang Efren's present age = 5x years

Four years ago,

Mang Efren's son's age = x - 4 years.

Mang Efren's age = 5x - 4 years

According to the question, four years ago, the product of their ages was 52.

From this information, we will create an equation.

(x - 4)(5x - 4) = 52

5x² - 4x - 20x + 16 = 52

5x² - 24x + 16 - 52 = 0

5x² - 24x - 36 = 0

Solving the quadratic equation to obtain the value of x,

5x² - 30x + 6x - 36 = 0

5x(x -6) + 6(x - 6) = 0

(5x - 6)(x - 6) = 0

x = 6

So, Mang Efren's present age is 5 × 6 = 30 years.

To learn more about age word problems visit:

https://brainly.com/question/28408588

#SPJ9

Answer:

alternate angles and corresponding angles.

and vertical opposite angles

Step-by-step explanation:

#G o o g l e

In the picture there is a prism with measures. The surface area of prism is 156.

Given that,

In the picture there is a prism with measures.

We have to find the surface area of prism.

The surface area of prism=(2×base area)+(Base perimeter×height)

The base is trapezoid

So, the area of trapezoid is (a+b)/2×h

=(6+12)/2×4

=18/2×4

=9×4

=36

Here base area we got is 36.

Now, we find the perimeter of trapezoid is a+b+c+d

=6+12+5+5

=18+10

=28

Here, base perimeter we got is 28.

Now surface area of prism is

=(2×36)+(28×3)

=72+84

=156

Therefore, the surface area of prism is 156.

To learn ore about prism visit: https://brainly.com/question/12649592

#SPJ1

The distance of art store from Ella's house is  2/3 miles or 0.67 miles.

It is a question of time, speed and distance.

It is given in the question that Ella walks to the art store at 2mph, but returns home at 4 mph.

Also, the total time taken by Ella to cover the journey is 1/2 an hour.

We have to find the distance of art store from Ella's house.

Let the distance from Ella's house to art store be d miles.

We know that,

Speed = distance/time

Time = distance/speed

Hence, we can write,

time = d/2  (walking to the art store from from)

Also,

time = d/4  (walking to home from the art store)

Hence,

d/2 + d/4 = 1/2

3d/4 = 1/2

d = 2/3 miles or 0.67 miles.

To learn more about speed , here:-

https://brainly.com/question/28224010

#SPJ1

Answer:

As a fraction: 3/50

It cannot be turned into a mixed number

Answer:

p [tex]\geq[/tex] 6

Step-by-step explanation:

If one pound costs $7 and he's going to spend at least $42, then he will buy at least as many pounds as what costs $42.

42 divided by 7 equals 6, so he will buy at least 6 pounds of candy.

The number of metal sheets in the stack is 274 metal sheets

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

Given the following parameters

Height of metal sheet = 4.00in

Height of each sheet= 0.0146 in

Number of metal sheet = height of metal sheet/height of each sheet

Substitute

Number of metal sheet  = 4.00/0.0146
Number of metal sheet  = 274 metal sheets

This gives the required number of sheets

Learn more on ratio and proportion here: https://brainly.com/question/12024093

#SPJ1

Answer:

seven and a half hours

Step-by-step explanation:

aa

It should be noted that the angle sector for each sport will be:

volleyball (12) = 60°

Basketball (18) = 90°

Ping Pong (8) = 40°

Softball (10) = 50°

Football (24) = 120°

From the information given, the following can be illustrated:

volleyball (12) = 12/72 × 360° = 60°

Basketball (18)= 18/72 × 360° = 90°

Ping Pong (8) = 8/72 × 360° = 40°

Softball (10) = 10/72 × 360° = 50°

Football (24) = 24/72 × 360° = 120°

Total = 72

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

answer = a

formula; a(1 + r)^x

a = the initial amount - 7.71  [answer cannot be b or d]

! i think it's a as the decay factor is < 1, therefore, 100-.933333

The simplified value of (3⁴)⁻¹ is 1/(3⁴) , which means one over three raised to the fourth power , the correct option is (a) .

In the question ,

the expression is given as (3⁴)⁻¹ ,

the rule of law of exponents states that a⁻ⁿ = 1/aⁿ .

Using the above mentioned law of indices , the expression  (3⁴)⁻¹ can be written as ,

(3⁴)⁻¹ = 3⁻⁴ = 1/3⁴

which can be expressed in words as one over three raised to the fourth power .

Therefore , the simplified value of (3⁴)⁻¹ is 1/(3⁴) , which means one over three raised to the fourth power , the correct option is (a) .

The given question is incomplete , the complete question is

The Simplified value of (3⁴)⁻¹ is

(a) one over three raised to the fourth power

(b) one over three raised to the power of negative four

(c) −3 to the power of 4

(d) 3 to the power of 3

Learn more about Exponential Function here

https://brainly.com/question/28296328

#SPJ1

Answer:

y=1.34x-3.22

Step-by-step explanation:

y=mx+b

find m/ gradient:

[tex]m = \frac{-3.94 - 2.4}{-4.75 - 0}[/tex]

∴[tex]m=1.34[/tex]

find b/ y-intercept:

sub (2.4,0)

0= 1.34 (2.4) +b

b=0-3.216

b= -3.216

∴ b=-3.22(2.d.p)

linear equation:

∴1.34x-3.22

Answer:

N/A

Step-by-step explanation:

the area and perimeter for what exactly?

The matchings are:

3x - y = -5 ⇒ table C.

x - 3y = 12 ⇒ table A.

3x - y = -2 ⇒ table D.

2x - 3y = 9 ⇒ table B.

The first equation we have is:

3x - y = -5

Evaluating in x = 0, we have:

3*0 - y = - 5

y = 5

So we have the point (0, 5).

Evaluating in x = -2 we get:

3*-2 - y = -5

6 + y = 5

y = 5 - 6 = -1

So we have the point (-2, -1)

The only table with that point is table C, so we conclude that it is the correct option.

2) The second equation is:

x - 3y = 12

Evaluating in x = 0 we get:

0 - 3y = 12

y = 12/-3 = -4

So we have the point (0, -4)

if x = 3 we have:

3 - 3*y = 12

-3*y = 12 - 3 = 9

y = 9/-3 = -3

So we have the point (3, -3)

The only table with these two points is table A, so that is the correct one.

3) The next equation is:

3x - y = -2

The tables left are B and D.

Now, let's evalaute this equation in x = 3.

3*3 - y = -2

9 - y = -2

9 + 2 = y

11 = y

So we have the point (3, 11)

Notice that on table B,the value associated to x = 3 is y = -1, so we discard table B, and we conclude that this equation relates to table D.

Trivially, the last equation:

2x - 3y = 9

Matches table B.

Learn more about tables:

https://brainly.com/question/25630111

#SPJ1

Answer:

0.41

Step-by-step explanation:

Using Venn diagram, if a student is chosen randomly, (a) the probability that he or she is not in any of the language classes is 0.5, (b) the probability that he or she is taking exactly one language class is 0.32, and (c) if 2 students are chosen randomly, the probability that at least 1 is taking a language class is 0.753.

Venn diagram is a diagram used to present the relationship between sets in a logical form. (See attached image)

Let A = students in the Spanish class = 28

B = students in the French class = 26

C = students in the German class = 16

Hence, the probability of each class is:

P(A) = 28/100 = 0.28

P(B) = 26/100 = 0.26

P(C) = 16/100 = 0.16

P(A ∩ B) = 12/100 = 0.12

P(B ∩ C) = 6/100 = 0.06

P(A ∩ C) = 4/100 = 0.04

P(A ∩ B ∩ C) = 2/100 = 0.02

(a) P(not A, B, C) = 1 - P(A ∪ B ∪ C)

P(not A, B, C) = 1 - [P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]

P(not A, B, C) = 1 - (0.28 + 0.26 + 0.16 - 0.12 - 0.06 - 0.04 + 0.02)

P(not A, B, C) = 1 - 0.5

P(not A, B, C) = 0.5

(b) P(A, B, C only) = P(A only) + P(B only) + P(c only)

P(A, B, C only) = [P(A) - P(A ∩ B) - P(A ∩ C) + P(A ∩ B ∩ C)] + [P(B) - P(A ∩ B) - P(B ∩ C) + P(A ∩ B ∩ C)] + [P(C) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)]

P(A, B, C only) = (0.28 - 0.12 - 0.04 + 0.02) + (0.26 - 0.12 - 0.06 + 0.02) + (0.16 - 0.06 - 0.04 + 0.02)

P(A, B, C only) = 0.14 + 0.10 + 0.08

P(A, B, C only) = 0.32

(c) P = 1 - (50/100 x 49/99)

P = 1 - (49/198)

P = 149/198

P = 0.753

To complete the problem, here are the questions:

(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?

(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?

(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

Learn more about Venn diagrams here: brainly.com/question/24713052

#SPJ4

A statement that is assumed to be true without proof is a(n) Theorem

A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture

A(n) Axiom is a statement that is believed to be true but hasn't been proven.

A definition is both a precise and a general statement of the significance of a mathematical term.

It does this by laying down all of the characteristics of the word together with the structures that need to be true.

This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.

Read more about theorem

https://brainly.com/question/12642646

#SPJ1

Answer:

1) Conditional

If a month begins with letter M, then it has 31 days.

2) Converse

If a month has 31 days, then it begins with letter M.

3) Inverse

If a month does not begin with the letter M, then it does not have 31 days.

4) Contrapositive

  If a month does not have 31 days, then it does not begin with the letter M.

Step-by-step explanation:

1) Conditional

If a month begins with letter M, then it has 31 days.

2) Converse

If a month has 31 days, then it begins with letter M.

3) Inverse

If a month does not begin with the letter M, then it does not have 31 days.

4) Contrapositive

  If a month does not have 31 days, then it does not begin with the letter M.

Conditional statement states the original statement. If 'p' , then 'q'

Converse statement switch positions in the original if --then statement. If 'q', then 'p'

Inverse statement states the opposite of the original statement. If not 'p', then not 'q'.

Contrapositive if not 'q' , then not 'q'.

For the quadratic equation:

x^2 + 7x = 8x + 12

The two solutions are:

x = 4

x = -3

I'm only solving the first question, as it is how the guidelines say.

Here we have the quadratic equation:

x^2 + 7x = 8x + 12

First, we can rewrite this equation as:

x^2 + 7x - 8x - 12 = 0

x^2 - x - 12 = 0.

Using Quadratic formula we can see that the solutions (or zeros of the quadratic) are:

x = (1 ± √(  (-1)^2 - 4*1*-12))/(2*1)

x = (1 ± 7)/2

Then the two solutions are:

x = (1 + 7)/2 = 4

x = (1 - 7)/2 = -3

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The situation in which the binomial distribution can be approximated to the normal distribution is given by:

(b) a nurse instructs an adult patient to take his resting pulse 10 times over the next few days. a resting pulse requires resting for at least 10 minutes before taking the pulse. the random variable ???? is the number of measurements that are less than 100 beats per minute.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The binomial distribution can be approximated to the normal distribution if there are at least 10 failures and 10 successes on the experiment, that is:

np ≥ 10, n(1 - p) ≥ 10.

Meaning that a large number of trials is usually required for the approximation.

In the context of this problem, to achieve the large number of trials needed for the approximation, multiple days are needed to take the observations, hence option b is correct.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

True value received an invoice dated may 08, 2020. the invoice had a $5,800 balance that included $800 freight true value pays the invoice on may 22.  then true value pay amount is $4900

Invoice dated 08/may/2020. Amounting to $5,800 which includes $800 freight.

Terms:

3/10 ; 2/30 ; n/60

The term 3/10 means that True value can avail of 3% discount if it pays within 10 days from date of issuance. The 10th day would be 18/may/2020

The term 2/30 means that True value can avail of 2% discount if it pays from the 11th day up to the 30th day from the date of issuance.

may 22 is beyond the 10th day but within the 30 days discount period. True Value can avail of the 2% discount.

5,800 - 800 = 5,000  The freight can't be subjected to discount thus it is deducted from the total invoice amount.

5,000 * 2% = 100

5,000 - 100 = 4900 amount True Value has to pay.

learn more about of amount here

https://brainly.com/question/2799036

#SPJ4

Answer:

736 - 155 = 581.

581 divided by 12 is 48.416.

that means the minimum number of sets of knives Kaj should buy is 49.

Step-by-step explanation:

The compound interest of $182.60 will not be enough to pay for the award.

So, annual interest will be sufficient to serve the award:

(Refer to the compound chart given below)

Therefore, the compound interest of $182.60 will not be enough to pay for the award.

Know more about compounding here:

https://brainly.com/question/24924853

#SPJ13

Answer:

x = -9

Step-by-step explanation:

the goal is to get x by itself, so subtract 10 from both sides: 4x=-36

divide both sides by 4: x = -9

|-----4x+10=-26           |

|ANSWER= x=-9-------|

happy fall!

explanation ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

When we have questions like this, and the x is just THROWN in there, we have to "combine our like terms."

STEP ONE ✨: "How do we do that..if one is on the other side?"

We have to make it disappear. +10-10 equals zero, right? right! So do that!

4x+10=-26

   -10

But what we do to one side, we do to the other! Subtract 10 from the numbers on the equal side.

4x+10=-26

    -10  -10

-26-10

4x=-36

STEP TWO : What do we do when a number has an X beside it?
Since this number is being multiplied to the x, we have to DIVIDE the 4x by 4, so we just get the x alone. It always works like this. Don't doubt yourself!!

4x=-36

/4    /4

-36/4=-9
x=-9!
----------------

i hope this helped! || much love! <33

Answer:

b

Step-by-step explanation: