√25x+75 +3√x-2 =2+4√x-3 +√9x-18

Answers

Answer 1

Answer: No solutions

Step-by-step explanation:

[tex]\large \bf \boldsymbol{ \boxed{\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b} }} \\\\\\ \sqrt{25x+75} +3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9x-18} \\\\ \sqrt{25} \cdot \sqrt{x+3}+3\sqrt{x-2} =2+4\sqrt{x-3} +\sqrt{9}\cdot \sqrt{x-2} \\\\5\sqrt{x+3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \ \ =2 +4\sqrt{x-3} +3\sqrt{x-2} \!\!\!\!\!\!\!\!\!\!\bigg{/} \\\\(5\sqrt{x+3})^2 =(2+4\sqrt{x-3} )^2 \\\\ \ \ \ let \ \ t=x+3 \ \ ; \ \ \ t-6=x-3 \\\\ \big(5\sqrt{t} \ \big)^2=(2+\sqrt{t-6} )^2 \\\\[/tex]                                   [tex]\large \boldsymbol{} \bf 25t=4+16\sqrt{t-6} +16(t-6) \\\\(9t+92)^2=(16\sqrt{t-6} )^2 \\\\81t^2+1656t+8464=256(t-6)\\\\81t^2+1400t+10000=0 \\\\ D=1400^2-324000=-128000=> \\\\D<0 \ \ no \ \ solutions[/tex]


Related Questions

write in the form of p/q, 0.785 (bar on 85)
please to spam anything except answer....TOMORROW EXAM ​

Answers

The expression of 0.785 in the form p/q is 157/200

The ratio is defined as a way of dividing a variable by another variable.

For instance, p/q  can be described as the ratio of p to q where p and q are integers.

Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)

0.785 = 785/1000

Express in its simplest form

785/1000 = 157/200

Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.

Learn more on ratio here: https://brainly.com/question/19473677

Choose the inequality that represents the following graph.

Answers

Answer:

it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d

2.
Lucy shares 42 marbles between her and her 6 friends. How many does each child?

Answers

42 marbles divided by 7 (because lucy has 6 friends but she has to add herself because they all are sharing the 42 marbles between each other) = 6 marbles goes to each child


6 marbles

Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday

Answers

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

59,8x60,2 bằng bao nhiêu ạ

Answers

Answer:

3,6

Step-by-step explanation:

Help on this pls if you don’t mind

Answers

Answer:

(B) 3

Step-by-step explanation:

Remember that a parallel lines always have the same slope!

What is the domain of the square root function graphed below?

Answers

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).

Answers

Answer:

The question is incomplete, but after a small search I've found that the complete question is something like:

To celebrate something, a teacher will make pizzas for the class.

There are 30 students in his class and each pizza serves 8

Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?

In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.

The notation for a point in that graph is (x, y)

Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.

So, for example, the point (3, 2) means that:

for x = 3 pizzas, you need y = 2 cups of pizza sauce.

So, now let's find the number of pizzas that will feed the whole class.

There are 30 students, Each pizza serves for 8.

Then the number of pizzas needed is:

30/8 = 3.75 pizzas.

But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.

Then we could use point B, which is (4, 2.6)

This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.

So Julio should bring 2.6 cups of pizza sauce.

Which point should Julio use to determine the amount of pizza sauce he needs to bring?

(B 4,26)

Select the false statement
A. Vertical angles are always congruent
B.Vertical angles are sometimes complimentary
C.Two right angles are always supplementary
D. Angles that form a linear pair are sometimes supplementary. Plz answer ASAP

Answers

Answer: D. Angles that form a linear pair are sometimes supplementary.

That is not true, linear pairs are always supplementary.

Answer:

D. Angles that form a linear pair are sometimes supplementary.

~OAmalOHopeO

at what rate of interest the sum of Rs 4000 amount to rs 6000 in 4 years​

Answers

interest=4000

amount =6000

time =4yr

principal =6000-4000

=2000

interest=principal×time×rate/100

4000= 2000×4×r/100

4000=8000×r/100

r=8000-4000/100

r=2000/100

r=20

Answer:

12.5 %

Step-by-step explanation:

I = PRT

I is the interest, P is the Principle, R is the Rate and T is the time

The interest is 6000- 4000 = 2000

2000 = 4000* R *4

2000 = 16000R

Divide each side by 16000

2000/16000 = R

.125 = R

Changing to percent form

12.5 %

Help me asap im not good at math

Answers

Answer:

[tex] > [/tex]

Step-by-step explanation:

The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0

It would be < because the one on right is greater

please help me it for my homework​

Answers

i believe the answer is 0.45
hope that helps:)

Answer:

0.45

Step-by-step explanation:

45%

=45÷100

=0.45 is decimal value

Given 2 ||
m
|| n, find the value of x.
142°
m
(3x+8)°
n
PLSSSS HELP MEEEE

Answers

Answer:

x = 10

Step-by-step explanation:

Given,

l || m

Therefore,

142° + (3x+8)° = 180° [Since Co-exterior angles]

=> 3x + 8 = 180 - 142

=> 3x + 8 = 38

=> 3x = 38 - 8

=> 3x = 30

[tex] = > x = \frac{30}{3} [/tex]

=> x = 10 (Ans)

write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w

Answers

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Final Answer: [tex]-7 \le w \le 9[/tex]

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. ​

Answers

Answer:

y = -2x + 5

[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2

Step-by-step explanation:

Find a 101 of the sequence 5, 8, 11, ....

A. 302
B. 311
C. 305
D. 308

Answers

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

      = 5+3(100)

    = 5+300

   = 305

3. What is the volume of the regular pyramid?

Answers

Answer:  80 cubic meters (choice B)

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

Explanation:

The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.

Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.

We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume

volume = (1/3)*(area of floor)*(height of pyramid)

volume = (1/3)*(30)*(8)

volume = 10*8

volume = 80 cubic meters

.help me with the question of math
No link​

Answers

Answer:

I doubt it is not going to be a great

Step-by-step explanation:

the same time as a child support of the year old girl I don't know what you think about it is not going to

Answer: 7,8
u get that by multiplying both sides and funding a variable

Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers

Answers

let one even number be N
and another even number be N(N+2)

N(N+2)=360
n^2+2n-360=0
n^2+20n-18n-360=0

value of N= -20 ,18
but -20 not accepted
smaller number 18

Find the value of x.

Answers

Answer:

52°

Step-by-step explanation:

64×2=128

360-128=232

so,

x=(232-128)/2

or, x=104/2

or, x=52°

Solve for x in each of the following equations.

A)
X + 2 = 8

B)
- 5 - 4x = -21

C)
13 + 5x = 34 + 2x

Answers

Answer:

Step-by-step explanation:

a) x=6 (x= 8-2)

b) x=4 ( 4x=21-5=16 -> x=4

c) x=7 (3x=34-13=21 -> x=7)

Step by step explanation
A)x+2=8
x=8-2
x=6
B)-5-4x= -21
-4x=-21+5
-4x=-16
x= -16/-4
x=4
C)13+5x=34+2x
5x-2x=34-13
3x=21
x=21/3
x=7
HOPE IT HELPS❤️⭐️

Is there a way to solve this without l'hopital's rule?

Answers

The conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved  without the l'hopital's rule,

How to solve the limit expression?

The limit expression is given as:

[tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex]

The limit of the expression cannot be solved without l'hopital's rule, because a direct substitution of ∞ for x would result in the following expression ∞/∞

i.e.

[tex]\lim_{x \to \infty} \frac{6 (2^{\infty}) - 1}{5(\infty)^2+ 10} = \frac{\infty}{\infty}[/tex]

So, the best way is to apply the l'hopital's rule.

This is done as follows:

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \lim_{x \to \infty} \frac{f'(x)}{g'(x)}[/tex]

When the numerator and the denominator are differentiated, we have:

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln(2)\cdot 2^{x + 1}}{10x}[/tex]

Further, differentiate

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{x + 1}}{10}[/tex]

Now, we can substitute [tex]\infty[/tex] for x

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{3\ln^2(2)\cdot 2^{\infty + 1}}{10}[/tex]

Evaluate the numerator

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \frac{\infty}{10}[/tex]

Evaluate the quotient

[tex]\lim_{x \to \infty} \frac{f(x)}{g(x)} = \infty[/tex]

Hence, the conclusion is that the expression [tex]\lim_{x \to \infty} \frac{6 (2^x) - 1}{5x^2+ 10}[/tex] cannot be solved  without the l'hopital's rule

Read more about l'hopital's rule at:

https://brainly.com/question/2095652

#SPJ1

Please help me with these two Algebra problem. Thanks
Problem 1:
If two half planes never intersect, then their system of inequalities has no solution. True or False?

Problem 2:
If the boundary lines of two half planes are parallel, then they have no solution area. True or False?

Please answer as quick as possible and please answer as
Example:
True, because . . . .

Thanks again!!

Answers

Step-by-step explanation:

First, a half plane can be defined as one side of a line, e.g. x < y-3.

1: True. A solution to two half planes is where the two half planes intersect. If they never intersect, then there literally cannot be a solution.

2: False. Take, for example, y=x and y=x+1. These two lines are parallel because in the equation y=mx+b, m represents the slope, and in these two lines, x is multiplied by 1, so both lines have the same slope and are therefore parallel. Then, take two boundary planes -- y > x and y>x+1. If we graph this out (see picture), the planes clearly intersect when y>x+1. The solution is where the planes intersect, so there is a solution area

How to get 14 using four fours

Answers

Answer:

14

Step-by-step explanation:

[tex]4 \times (4 - .4) -. 4[/tex]

a taxi rider must pay 15000 VND for 1km in the first 10km, when exceeding 10km, they will pay them 14000 VND for each subsequent kilometer.Please write the expression to that the user number must be pay on x km (x>10)

Answers

Answer:

Số tien:S =150000+(x-10)14000

Step-by-step explanation:

What type of line is PQ?

A. angle bisector
B. side bisector
C. altitude
D. median

Answers

Answer: Segment PQ is a median

Step-by-step explanation:

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.

The segment PQ is a median.

A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.

What is the median?

The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.

This means segment PQ has to be a median for it meets the criteria of a median.

To learn more about line visit:

https://brainly.com/question/24266387

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median

Answers

Answer:

A. Mean

Step-by-step explanation:

Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!

I hope this helped! :D

A. Mean
Since the mean is the average of the set, by adding a larger or smaller number to the it set will throw off the data making it misleading.

if a = 3 and b=2,find the value of a square+2ab and (a+b)square​

Answers

Answer:

a^2+2ab = 21

(a+b)^2= 25

Step-by-step explanation:

(a+b)^2 = a^+2ab+b^2

sub a=3 and b=2 and simplify  

5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB​

Answers

Voće q no tonto es 2.9. Y también AB ok coprende ??? Ok chao

PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?

Answers

9514 1404 393

Answer:

Jacob: 4his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

currently:

  M = 3 +9J

in 11 years:

  M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

  (3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

  9J +14 = 3J +38 . . . . . . simplify

  6J + 24 . . . . . . . . . . subtract 3J+14

  J = 4 . . . . . . . . . . divide by 6

  M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

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