Rationalize the denominator- 12x/√x-10

Answer:

-6b

Step-by-step explanation:

In this question, its simple math,how?

All the terms are alike, so just apply subtraction method;

[tex]=12b-17b-b\\\\\\\\=12b-18b\\\\=-6b[/tex]

For this case we have the following expression:

[tex]12b-17b-b=[/tex]

We have that by definition of Law of the Signs of the Sum that: Equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the greater is placed. So:

[tex]-5b-b =\\-6b[/tex]

Answer:

-6b

==================================================

Explanation:

If we had a pit stop every 1 mile, then we would have 36 pit stops. Note how 36/1 = 36.

If we had a pit stop every 2 miles, then we would have 18 pit stops because 36/2 = 18

If we had a pit stop every 3 miles, then we would have 12 pit stops because 36/3 = 12

And so on.

As you can see, we divide the total length 36 over the number of miles between pit stops. This applies even to fractions as well

Divide 36 over 4/6 to get

[tex]36 \div \frac{4}{6} = 36 \times \frac{6}{4} = 36 \times 1.5 = 54[/tex]

Recall that when you divide by a fraction, you flip the second fraction and multiply. The action of "flipping" is known as applying the reciprocal.

So this means there are 54 pit stops in total.

An alternative method to get the answer is to note that 4/6 = 0.66666667 approximately, and 36/0.66666667 = 53.99999973 which is very close to 54 that we got above. The reason why its not exactly 54 is because of rounding error. The more decimal digits you use, the more accurate the result will be.

Answer: Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

[tex](x-h)^2+ (y-k)^2=r^2[/tex]

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D

Answer:

Step-by-step explanation:

the area is :A= L×W

                   A= (2x²-x+3)(4x²+2x-1).....calculate

the perimeter is : P= 2(L+W)

                             P= 2(2x²-x+3)+(4x²+2x-1))....calculate

Answer: First option, Second option, Third option  and Fourth option.

Step-by-step explanation:

You need to substitute each point into the inequality:

1) Point (-2,-5):

[tex]y > 2x - 4\\\\-5 > 2(-2) - 4\\\\-5>-8\ (This\ is\ true)[/tex]

 2) Point (0,4):

[tex]y > 2x - 4\\\\4 > 2(0) - 4\\\\4>-4\ (This\ is\ true)[/tex]

3) Point (1,1):

[tex]y > 2x - 4\\\\1 > 2(1) - 4\\\\1>-2\ (This\ is\ true)[/tex]

4) Point (3,5):

[tex]y > 2x - 4\\\\5 > 2(3) - 4\\\\5>2\ (This\ is\ true)[/tex]

5) Point (5,5)​:

[tex]y > 2x - 4\\\\5 > 2(5) - 4\\\\5>6\ (This\ is\ not\ true)[/tex]

Answer:1st 3rd and 4th

Step-by-step explanation:

Hope I helped

For this case we add the quantities of calories consumed per day, that is:

[tex]1,405 + 1,219 + 1,119 + 1,353 = 5,096[/tex]

So Serena consumed 5,096 calories in 4 days. If we want to know the average calorie content per day, we divide the amount obtained by 4:

[tex]\frac {5,096} {4} = 1,274[/tex]

ANswer:

5,096 total calories

Consumes on average 1,274 calories per day.

Answer:

[tex]\frac{(6p+14)}{p}[/tex]

Step-by-step explanation:

[tex](p+\frac{7}{3})(\frac{6}{p})[/tex]

Making denominator same in first bracket we get

[tex](\frac{3p+7}{3})(\frac{6}{p})[/tex]

[tex](\frac{(3p+7)*6}{3*p})[/tex]

Dividing 6 by 3 we get 2

[tex](\frac{(3p+7)*2}{p})[/tex]

using distributive law

[tex](\frac{6p+14}{p})\\[/tex]

Hence this is our answer

Answer:

Option d. 2p +  [tex]\frac{14}{p}[/tex]

Step-by-step explanation:

We have to find the expression equivalent to the product of ( P + [tex]\frac{7}{3}[/tex]) and (  [tex]\frac{6}{p}[/tex] ) where p ≠ 0

( p +  [tex]\frac{7}{3}[/tex] ) × (  [tex]\frac{6}{p}[/tex] )

= p (  [tex]\frac{6}{p}[/tex] ) + (  [tex]\frac{7}{3}[/tex] ) ( [tex]\frac{6}{p}[/tex] ) [distributive law]

= 6 + ( [tex]\frac{14}{p}[/tex] )

=  [tex]\frac{(6p+14)}{p}[/tex]

Therefore, option D is the answer.

Answer:

61728394.5

Step-by-step explanation:

Using order of operations, you can either perform the multiplication first or the division first.

123,456,789 × 2 / 4 =

123,456,789 / 2 =

61728394.5

Answer:

61,728,394.5

Step-by-step explanation:

Remember to follow PEMDAS & left->right rule.

In this case, they are multiply & divide, so you can solve through left - > right rule:

123,456,789 x 2 = 246,913,578

246,913,578/4 = 61,728,394.5

61,728,394.5 is your answer.

~

Answer:

25.8°

Step-by-step explanation:

The wall is vertical so it makes 90°  with the ground.

The ladder forms a right triangle of base = 45 ft and hypotenuse = 50 ft

To find the angle (x) the ladder makes with the ground:

Cos x = [tex]\frac{45}{50}[/tex] = 0.9

[tex]Cos^{-1}[/tex] 0.9 = 25.8° (answer rounded up to nearest tenth)

The angle that the bottom of the ladder makes with the ground in a scenario where a 50ft ladder is leaning against a wall, with the base of the ladder being 45ft from the base of the wall, can be found using basic trigonometry. By using the cosine law, we find that the angle is approximately 25.84 degrees.

To find the angle the bottom of the ladder makes with the ground, we can use basic trigonometry. In this situation, we have a right-angled triangle formed by the wall, the ground, and the ladder, and we are given that the adjacent side (base of the ladder in relation to the vertical wall) is 45 feet and the hypotenuse (the ladder) is 50 feet.

Using the cosine law, the cosine of the angle is equal to the adjacent side divided by the hypotenuse, so:

cosine(Angle) = Adjacent/hypotenuse = 45ft/50ft = 0.9.

Now, we just need to find the inverse cosine (or acos) of 0.9 to find our angle:

Angle = acos(0.9) = 25.84 degrees approximately.

So, the angle that the bottom of the ladder makes with the ground is approximately 25.84 degrees. This result is independent of the length of the ladder.

https://brainly.com/question/31896723

#SPJ3

Answer:

x =[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}-x=[tex]\frac{1}{4}[/tex]

⇒ Minus [tex]\frac{3}{8}[/tex] from both sides

- x =[tex]-\frac{1}{8}[/tex]

⇒ Multiply both sides by -1 to get rid of negative

x =[tex]\frac{1}{8}[/tex]

Answer:

x = 1/8.

Step-by-step explanation:

3/8 - x = 1/4

Subtract 3/8 from both sides:

- x = 1/4 - 3/8

-x = 2/8 - 3/8

-x = -1/8

Divide both sides by -1:

x = 1/8.

Answer:

y = 5

Step-by-step explanation:

7(y + 2) – (4y – 10) = 44 – 2y + 5

(7y+14) - (4y - 10) = 49 -2y

3y +24 = 49 -2y

5y +24 = 49

5y = 25

y = 5

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, distribute and combine like terms to simplify both sides of the equation. Isolate the variable y on one side of the equation by performing inverse operations. The solution to the equation is y = 3.

To solve the equation 7(y + 2) – (4y – 10) = 44 – 2y + 5, we need to simplify both sides by distributing and combining like terms. Starting with the left side, we distribute 7 to both y and 2 to get 7y + 14. Then, distribute -1 to both 4y and -10 to get -4y + 10. Combining like terms, we have 7y + 14 - 4y + 10 = 44 - 2y + 5. Simplifying further gives us 3y + 24 = 39 - 2y. To isolate the variable y, we need to get all the y terms on one side. Adding 2y to both sides gives us 5y + 24 = 39. Finally, subtracting 24 from both sides yields 5y = 15. Dividing both sides by 5 gives us y = 3. Therefore, the solution to the equation is y = 3.

https://brainly.com/question/19297665

#SPJ3

-2 to -1 is the correct answer

Answer:

78 points

Step-by-step explanation:

Let x = sum of the 10 scores

x/10 = 67

x /10 *10 = 67* 10 = 670

The sum of the 10 scores is 670

Now we play 1 more game and score g

We want to find the average  for the 11 games

The average is 68

(670 + g)/11 = 68

Multiply each side by 11

(670+g)/11 *11 = 68*11

670+g =748

Subtract 670 from each side

670+g-670 = 748-670

g =78

Answer:

The cost of one ticket is $9

Step-by-step explanation:

we have

4x+12=48

where

x represents the cost of a ticket

Solve for x

Subtract 12 both sides

4x=48-12

4x=36

Divide by 4 both sides

x=36/4=9

therefore

The cost of one ticket is $9

Answer:

Stanley factored it correctly.

Step-by-step explanation:

[tex]11x^3y^5[/tex]

We are given that Marie and Staley factored the above expression as follows and we are to determine who factored it correctly:

Marie: [tex]11x^3y^5[/tex] ---> [tex](8x^3)(3y^5)[/tex]

[tex](8x^3)(3y^5)[/tex] = [tex]24x^3y^3[/tex] so this is wrong.

Stanley: [tex]11x^3y^5[/tex] ---> [tex](11xy)(x^2y^4)[/tex]

[tex] ( 1 1 x y ) ( x ^ 2 y ^ 4 ) [/tex] = [tex] 1 1 x ^ 3 y ^ 5 [/tex]

Therefore, Stanley factored it correctly.

Answer:

The answer is C

Step-by-step explanation:

The correct option is c.

The following information should be considered:

Learn more: https://brainly.com/question/10046743?referrer=searchResults

Answer:

(fog)(-3) = 125

Step-by-step explanation:

So, we need to first evaluate g(-3) and then plug the value of g(-3) into f(x) to find (fog)(-3). So, let's do that:

[tex]g(-3) = -3-2 = -5[/tex]

[tex]f(g(-3)) = f(-5) = 5(-5)^2 = 5(25) = 125[/tex]

Thus, (fog)(-3) = 125.

Answer:

answer : c    ( x = 1  , y = -1 , z = 1)

Step-by-step explanation:

put   x = 1  , y = -1 , z = 1

in this equations :

3(1)+3(-1)+6(1)=6 ........ 6=6 right

3(1)+2(-1)+4(1)=5 .....5=5  right

7(1)+3(-1)+3(1)=7......7=7  right

Answer:

25

Step-by-step explanation:

Just square root 625.  

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

Answer:

In my opinion the answer is y = 6

Step-by-step explanation:

We have two unknowns from the equation therefore, two equations are needed. These equations are:

3x + y = 9  

y = –4x +10  

To solve for y, we first substitute the second equation to the first one.

3x + –4x +10= 9  

x = 1

We substitute the value of x to either of the equations and solve for y.

y = –4(1) +10  

y = 6

Answer:

y=6

Step-by-step explanation:

[tex]3x + y = 9[/tex]

[tex]y = -4x + 10[/tex]

Substitute the value of y in the first equation:

[tex]3x + (-4x + 10) = 9[/tex]

Apply the subtraction property of equality:

[tex]-x + 10 = 9[/tex]

[tex]-x=-1[/tex]

x=1

Substitute 1 for x in the given y equation

[tex]y = -4x + 10[/tex]

[tex]y = -4(1)+ 10[/tex]

y=6

56 large boxes and 40 small boxes.

To solve this problem, we need to use the concept of multiples. By definition, a multiple of a number is that number multiplied by an integer. For instance, 3, 6, 9, 12 are multiples of 3. So let's do a chart and list the multiples of large and small boxes:

[tex]\begin{array}{cccccccccc}Number\,of\,boxes & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9\\Large & 8 & 16 & 24 & 32 & 40 & 48 & 56 & 64 & 72\\Small & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90\end{array}[/tex]

From this, our goal is to select the number of small and large boxes such that the sum is 96 boxes of hamburger burns and the number of large boxes is greater than the number of small boxes. From the table, the correct solution is:

56 large boxes and 40 small boxes, and this meets our requirement, because 56 + 40 = 96 and 56 > 40

Answer:

x = - 2, x = 6

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

Solve

- 3x² + 12x + 36 = 0 ( divide through by - 3 )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

x = - 2 and x = 6 ← are the excluded values

Answer:

Step-by-step explanation:

It depends on how many green and orange marbles their are...If their is 30 marbles in a bag and 10 of them are orange and green it would be 10/30 divide both of them by 10 and you would get 1/3 But that is just an example.

Hope my answer has helped you in any way!

Answer:0.04444

Step-by-step explanation:

Number of red balls = 5  

Number of orange balls = 2

Number of yellow balls = 1

Number of green balls = 2

Therefore total number of balls = 10.

Probability of getting a ball =

 P(choosing orange ball) =  

After picking an orange ball, we are left with 9 balls

P ( choosing a green ball) =

P(choosing an orange marble and a green marble) =

0.04444 is the approximate probability of choosing an orange marble and a green marble.

ANSWER

The correct answer is D

EXPLANATION

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function.

Based on this we conclude that,

[tex] - \frac{ 2}{5} [/tex]

is a potential rational root of

[tex]f(x) = 25 {x}^{4} - 7 {x}^{2} + x + 4[/tex]

The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

Answer: the correct answer is D

Answer:

1/5

Step-by-step explanation:

There are 10 marbles and two white marbles.

make a probability.

2/10

simplify= 1/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

i had the same problem on acellus and 1/5 was the right answer for me not 4/5

The vertical asymptotes of the function is the point where the denominator of the function is zero. The vertical asymptote of the function is x = 3

Given the function expressed as:

f(x) = 6/x - 3

The vertical asymptotes of the function is the point where the denominator of the function is zero

x - 3 = 0

x = 0 + 3

x = 3

Hence the vertical asymptote of the function is x = 3

Learn more on asymptotes here: https://brainly.com/question/4138300

#SPJ2

Answer:

90° counter clockwise rotation of point 0(x, y) about origin = (-y, x)

Step-by-step explanation:

Following are the rules for a counter clockwise rotation of 90 degrees about the origin for a point O(x,y):

1. Invert the sign of the value of y.

2. Switch x and y with each other.

For example, a point A(5,2) after rotation gives a point B(-2,5) using the rules given above. The points on the x-y plane are shown in the image attached.

wednesday (9/11) has the most homework for Sarah. because it is equivalent to 90/110 which is greater than every other fraction answer given.

--mark brainliest please! thank you and i hope this helps

Sarah had the most homework on Wednesday.

The acronym LCM stands for the least common multiple or factor of any two or more specified integers. The least common multiple for the numbers 16 and 20 is 80, hence the LCM of those two numbers will be, for instance, 2 x 2 x 2 x 2 x 5 = 80.

Given

Sarah had the most homework on Wednesday. Least common multiple for 10, 5, 11 and 2 is 110.

Monday: 7/10 = (7*11)/(10*11) = 77/110

Tuesday: 3/5 = (3*22)/(5*22) = 66/110

Wednesday: 9/11 = (9*10)/(11*10) = 90/110

Thursday: 1/2 = (1*55)/(2*55) = 55/110

Since 90 > 77 > 66 > 55 it is clear that Sarah had the most homework on Wednesday.

To know more about lcm refer to:

https://brainly.com/question/2550150

#SPJ2

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

When dividing fractions these are the steps you will take:

1. The first number in the expression stays the same  

[tex]\frac{-3}{8}[/tex] ÷[tex]\frac{-1}{3}[/tex]

2. Change the division sign into a multiplication sign

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-1}{3}[/tex]

3. Take the reciprocal (switch the places of numerator and denominator) of the second number in the expression

[tex]\frac{-3}{8}[/tex] × [tex]\frac{-3}{1}[/tex]

4. Multiply across

[tex]\frac{-3*-3}{8*1}[/tex]

[tex]\frac{9}{8}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Final answer:

The quotient of -3/8 and negative 1/3 is 9/8. To get this result, multiply the first fraction by the reciprocal of the second fraction, and since both fractions are negative, the result is positive.

Explanation:

The question asks about the quotient when dividing two negative fractions, specifically -3/8 and negative 1/3. When dividing fractions, the rule is to multiply the first fraction by the reciprocal of the second fraction. Also, when dividing two negative numbers, the result is positive because a negative divided by a negative equals a positive.

To find the reciprocal of negative 1/3, we flip the numerator and denominator to get -3/1, which is -3. Then we keep the first fraction, change division to multiplication, and multiply by the reciprocal of the second fraction:

-3/8 × -3 (which is the reciprocal of negative 1/3)

When we multiply these, the negative signs cancel out and we get 3/8 × 3/1 = 9/8

Therefore, the quotient of -3/8 and negative 1/3 is 9/8, which is a positive number because the negatives cancel each other out as per the multiplication rules for signs.