Mathematics High School

you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?

Answers

Answer 1

Answer:

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

Related Questions

352x 408 in standard algorithm

Answers

Answer:

Multiply 408 by 352.143616x

Step-by-step explanation:

Lmk if im wrong.

if 0 prove:
a) a³ what is the answer?

Answers

I think you meant, if a = 0.

If a = 0, then,

a³ = 0³

a³ = 0 × 0 × 0

a³ = 0

Any number multiplied by 0 is 0.

What are two ways to write 2a-18 in words

Answers

Answer:

Step-by-step explanation:

2a-18

two a minus eighteen

two a takeaway eighteen

two a subtract eighteen

two a deduct eighteen

X^5-2x^4-24x^3=0. solve by factoring

Answers

Factor out x^3
x^3(x^2 - 2x - 24) = 0
x^3(x - 6)(x + 4) = 0
x^3 = 0, x = 0
x - 6 = 0, x = 6
x + 4 = 0, x = -4

Solution: x = 0, -4, 6

Answer:

1. x=6

2. x = -4

3. x³ = 0

Step-by-step explanation:

Step 1: Equation at the end of step 1

((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0

Step 2:

Equation at the end of step 2:

((x⁵)-2x⁴)-(2³ · 3x³) = 0

Step 3: X

Step 4: Pulling out like terms

Pull out like factors :

x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)

Trying to factor by splitting the middle term

Factoring x² -2x - 24

The first term is, x² ts coefficient is 1 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4

x2 - 6x + 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

4 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x+4) • (x-6)

Which is the desired factorization

Equation at the end of step

x3 • (x + 4) • (x - 6) = 0

STEP

Theory - Roots of a product

5.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.2 Solve : x3 = 0

Solution is x3 = 0

Solving a Single Variable Equation:

5.3 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4

Solving a Single Variable Equation:

5.4 Solve : x-6 = 0

Add 6 to both sides of the equation :

x = 6

Supplement : Solving Quadratic Equation Directly

Solving x2-2x-24 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

6.1 Find the Vertex of y = x2-2x-24

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000

Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :

y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0

or y = -25.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-2x-24

Axis of Symmetry (dashed) {x}={ 1.00}

Vertex at {x,y} = { 1.00,-25.00}

x -Intercepts (Roots) :

Root 1 at {x,y} = {-4.00, 0.00}

Root 2 at {x,y} = { 6.00, 0.00}

Solve Quadratic Equation by Completing The Square

6.2 Solving x2-2x-24 = 0 by Completing The Square .

Add 24 to both side of the equation :

x2-2x = 24

Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1

Add 1 to both sides of the equation :

On the right hand side we have :

24 + 1 or, (24/1)+(1/1)

The common denominator of the two fractions is 1 Adding (24/1)+(1/1) gives 25/1

So adding to both sides we finally get :

x2-2x+1 = 25

Adding 1 has completed the left hand side into a perfect square :

x2-2x+1 =

(x-1) • (x-1) =

(x-1)2

Things which are equal to the same thing are also equal to one another. Since

x2-2x+1 = 25 and

x2-2x+1 = (x-1)2

then, according to the law of transitivity,

(x-1)2 = 25

We'll refer to this Equation as Eq. #6.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-1)2 is

(x-1)2/2 =

(x-1)1 =

x-1

Now, applying the Square Root Principle to Eq. #6.2.1 we get:

x-1 = √ 25

Add 1 to both sides to obtain:

x = 1 + √ 25

Three solutions were found :

x = 6

x = -4

x3 = 0

f(x) = 2.5e-0.04x and g(x) = 1.2 + 0.2x.

Answers

f(x) - g(x)

2.5e - 0.04x - 1.2 + 0.2

0.16x + 5.59570457

How to solve for j -10=║j-7║

Answers

Answer:

No solutions.

Step-by-step explanation:

-10 = 7

No solutions

How many solutions does this linear system have?

y = -6x+2

-12x - 2y = -4

one solution: (0,0)

O one solution: (1.4)

O no solution

O infinite number of solutions

Answers

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

https://brainly.com/question/10413253

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guys pls help me!!!!!!

Answers

Answer:

48 degrees

Step-by-step explanation:

Answer: 6.8

Step-by-step explanation:

nnxj

Can someone answer my math?

Answers

Answer:

wlang mag sasagot yn HAHAH dapat para sagotan ni lolo 50pts ilagay mo HAHA

help need explantion and answersi give you 100

Answers

Rules:
2: the number has to be even, ex: 46 & 82
3: add each digit, if it is divisible by 3, ex: 39, 3 + 9 = 12, which is divisible by 3, so 39 is divisible by three
4: if the number can be divided by 2 two times, 48 divided by 2 = 24 divided by 2 is 12. So 48 is divisible by 4
5: the last digit must be 0 or 5, ex: 45 and 120
6: the number should be even and divisible by 3, ex: 66, 66 is even and 6 + 6 can be divided by 3. so 66 is divisible by 6
9: add each digit, if it is divisible by 9. 189 = 1 + 8 + 9 = 18 can be divided by 9 so 189 is divisible by 9
10: the last digit must be 0, ex: 40 and 5600

Answers:
120- 2, 3, 5, 6, 10
125- 5
180- 2, 3, 5, 6, 9, 10
324- 2, 3, 6, 9
660- 2, 3, 5, 6, 10

The people on this app are mean for not answering

Answers

aggreed very mean.....

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9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.

Answers

Answer:

The unit of measure appropriate is cubic metre or cubic meter (m³)

Step-by-step Explanation:

we know that

The volume of a cube is equal to

V = b^3

where b is the length side of the cube

In this problem we have

b = 2m

substitute in the formula of volume

V = 2^3

V = 8 m^3

therefore

The unit of measure appropriate is cubic metre (m³)

Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (1, 5 ) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = 3x + 2 ← equation of parallel line

The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.

About how many drive hours will it take the Cortez family to make the trip?

Answers

Step-by-step explanation:

Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is

[tex]let \: h = hrs[/tex]

[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]

The miles unit, mi cancels and leaves us with hours, h

[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]

Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?

Justify your answer.

Answers

Answer:

No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)

Step-by-step explanation:

Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.

Please help me on this

Answers

Answer:

4/8 and 5/10

Step-by-step explanation:

since it is 1/2, take the top number and multiply it by two, 4x2=8 5x2=10 and since they equal to the second or bottom number it is equivalent

There is 1 inch of water in a pool. The water level is increasing at 0.75 inches/minute. Which linear equation represents the total depth of the water, in inches, after x minutes?

Question 3 options:

y=0.75x+1

1+y=0.75x

x=0.75y

y=0.75x

Answers

the answer is y = 0.75x + 1

An item on sale costs 65% of the original price. The original price was $25.

Answers

Answer:

$16.25

65% = 0.65

0.65 x $25 = $16.25

Hope this helps! (And I think thats what the question was)

Find (f +g)(x) where f(x) = x+ 3 and g(x) = x + 4.

Answers

Answer:

Correct answer is A

Step-by-step explanation:

In pic

Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

help me plz.........................................

Answers

Answer: y=10

Step-by-step explanation:

5y-8=42

5y= 50

y= 50/5

y= 10

1) a supermarket sells articles during the festival seasons with a 10% discount. find the new price of the following articles.

i) A CFL bulb if the marked price is Rs. 280

ii) A bunion if the marked price is Rs. 650.

iii) A gas cooker if the marked price is Rs. 7500

Answers

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?

First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.

one game costs $________

3 games would make them $_______

Answers

Answer:

20.41

Step-by-step explanation:

I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23

The number 49 has two square roots: 7 and _____

Answers

Answer:

-7

Step-by-step explanation:

Square numbers always have two possible roots: a positive and negative root. This is because two positive numbers multiply to make a positive number and two negative numbers also multiply to make a positive number

-7 × -7 is still 49, just like 7 × 7

Hope this helps!

i do not understand question 6

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.

Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.

Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.

Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.

perimeter ΔBEC = CB +BE +EC

perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in

The perimeter of triangle BEC is 28 inches.

0.048百万 + 16 x 72 000 =?

Answers

Answer:

1152000.048

Step-by-step explanation:

Brody is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Brody's test score (out of 20) if he
got 9 questions wrong? What would be his score if he got x questions wrong?

Answers

Answer: Brody's test score is 11/20 and 20 - x/20

Step-by-step explanation:

If Brody gets x questions wrong, this could only possible answer is 20 - x.

Using this formula, we could now answer the first question.

20 - x

20 - 9 = 11

We could then conclude that Brody got 11 correct answers out of 20 answers.

Based on What you learned about economics of organic produce, explain why buying organic food is so expensive

Answers

Answer:(:

Step-by-step explanation:

Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.

The angle measurements in the diagram are represented by the following expressions.
ZA = 5x + 34°
ZB = 2x + 76°

Solve for x and then find the measure of ZA:
ZA=

Answers

point A (-1-1) point B(-2-1)

what is an equivalent ratio to 5/2

Answers

Answer:

The simplest form of ratio 6:15=2×3:5×3=2:5

So, 2:5 is equivalent to 6:15

Step-by-step explanation:

Hope this helps :)

Answer:

10/4

Step-by-step explanation:

Write the equation.Please help

Answers

Answer: y=3x

Step-by-step explanation:

We want an equation of the form y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0).

The slope: From the point (0,0), the braph goes to point (2,6). Slope is the rise (y) over the run(x): (6/2) or 3. The slope, m, is 3. b, the y-intercept, is 0. y is 0 when x is 0.

y=3x

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