SOLVE PLEASEEE (FOR 20 POINTS)

SOLVE PLEASEEE (FOR 20 POINTS)

Answers

Answer 1

for a ratonal, the expression only makes sense if the denominator is not 0, since if that occurs then the expression becomes undefined, a division by 0 is always undefined, for this case, when does that occur?  Let's set the denominator to 0 and solve for "x".

[tex]\cfrac{\sqrt{2}}{\sqrt{x-1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{setting the denominator to 0}}{\sqrt{x-1}=0\implies (\sqrt{x-1})^2=0^2}\implies x-1=0\implies x=1[/tex]

well then, let's see what happens when x = 1

[tex]\cfrac{\sqrt{2}}{\sqrt{x-1}}\implies \cfrac{\sqrt{2(1)}}{\sqrt{1-1}}\implies \cfrac{\sqrt{2}}{\sqrt{0}}\implies \cfrac{\sqrt{2}}{0}\leftarrow und efined[/tex]

so the only values that makes sense is anything but x < 1, because a smaller value of 1 will give us an imaginary value from the root, so the only values that makes sense are namely { x | x ∈ ℝ; x > 1 }


Related Questions

Find the values of m and b for this line.

Answers

Answer:

b=-5, m= - 3/-2

Step-by-step explanation:

Slope equation is y=mx+b. Slope is finding the rise(vertical change) over run(horizontal change). In this case, -3 is our negative rise and 2 is our run. Put that into fraction form, we get negative 3/2. In the slope equation, b represents the y-intercept(where the line touches the y-axis). In this case, it is -5. Hope this helps you!

Uhm anyone????? pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

$85

Step-by-step explanation:

(if you need to explain how the anwer was gotten)

34 ÷ 4 = 8.5

8.5 × 10 = 85

She earned $34 in 4 hours and wants to know how much she would earn in 10 hours.

1) you need to find out how much she earning in 1 hour. To do that you would divide 34 by 4 which is 8.5.

2) then multiply it by 10 hours. 8.5•10=85

The answer is 85

¿que es un plano cartesiano y quien lo invento?​

Answers

Answer:

René Descartes

Step-by-step explanation:

N/A, too simple of a question.

Answer:

filósofo René Descartes.

El plano cartesiano lleva el nombre del matemático y filósofo francés René Descartes (1596-1650), quien introdujo el sistema de coordenadas para mostrar cómo se podía usar el álgebra para resolver problemas geométricos.

What is 0.01 times 100

Answers

Answer:

1 because you just move the decimal places two times to the left!

Hope this helps :D


What is the prime factorization of 96?

Answers

96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers. brainliest me pls

#Chloe919

#brainliest me

thanks for the points

Answer:  2^5 · 3

Step-by-step explanation: Prime Factorization refers to finding which prime numbers multiply together to form the original number. The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 ×

When interest is compounded
quarterly, find the nominal rate if the effective rate is 8.7%

Answers

Answer: Use SoupCalculator I have the answer I just dont want you to get it wrong

Write 0.959 as a fraction help quick

Answers

Answer:

959/1000

Thank me later and for asking! :))

Answer:

Step-by-step explanation:

0.959 as a fraction and percent expansion provides the details of what is the equivalent fraction and percent for decimal 0.959, and the answer with steps to understand how it is being calculated.

0.959 as a Fraction

0.959 = (?)

= (0.959/1) x (1000/1000)

= 959/1000

0.959 = 959/1000

0.959 as a fraction equals to 959/1000  

Hope this helps :)

dishta adds 2oz of milk into 18oz cup of coffe that is 10% milk. what is the precentage of milk in the resulting mixture?

Answers

Answer:

19%

Step-by-step explanation:

Cup of coffee has milk content:

18*10/100 = 1.8 oz

The mixture after adding milk has:

2 + 1.8 = 3.8 oz milk

Percentage of milk in the mixture:

3.8/(2 + 18)*100% = 19%

simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed it :)

Answers

Answer:

[tex] \frac{x^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

[tex] \frac{x + 7}{4x} + \frac{5}{x - 8} [/tex]

[tex] = \frac{(x + 7)(x - 8)}{4x(x - 8)} + \frac{5(4x)}{4x(x - 8)} [/tex]

[tex] = \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} + 19x - 56}{4x(x - 8)} [/tex]

[tex] = \frac{ {x}^{2} + 19x - 56}{4 {x}^{2} - 32x} [/tex]

Please help
__________________​

Answers

Answer:

She will spend 2.66 dollars

Step-by-step explanation:

Answer:

she would spend $7.52

Step-by-step explanation:

if katherine get 20 bottles and she needs to give 5 to freddy how much is more

Answers

Answer:

15 bottles are left

Step-by-step explanation:

we say:

20 bottles

- 5 bottles

15 bottles

Answer:

15

Step-by-step explanation:

20 - 5 = 15

2.
Write an equation in point-slope form for the line through the given point with the given slope.

(–3, –7); m = -6/5


A. y – 7 = -6/5 (x-3)

B. y + 7 = -6/5 (x+3)

C. y + 3 = -6/5 (x+7)

D. y – 7 = -6/5 (x+3)

Answers

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

45-45-90 method
Please help and show your work!!!

Answers

Answer:

hope this helps and u understood it

check the steps in the picture attached

Identify the constant of proportionality from the table. A.2 B.3 C.1/3 D.6

Answers

Answer: The answer would be C, 1/3

Step-by-step explanation:

If you turn each proportion into a fraction and simplify each fraction, they would all simplify to 1/3. Hope this helps.

PLEASE HELP ASAP only if you know the answer pleaseeeee
Which best describes the type of triangle?

Answers

Answer:

the answer is obtuse. B. I hope this helps you!

Answer:

it is obtuse

Step-by-step explanation:


please help if you can:)



Find the range of the quadratic function.
y=2x² -
- 8x + 9

Answers

Answer:

(-2,17) i think i am not sure

Step-by-step explanation:

What is the measure for x

Answers

Answer:

130 degrees

Step-by-step explanation:

A triangles angles have to equal 180 degrees

A right angle = 90 degrees

40+90=130

180-130=50

A straight angle has to equal 180 degrees

180-50=130

130 degrees

What is the answer.....?

Answers

7:3

Step-by-step explanation:

y’all please a girl b struggling. What is the true solution to 2 In ein 5x = 2 In 15?
X=0
X= 3

X=9
X = 15

Answers

x=3

本题已由中国数学会官方解答(现有会员:3人)  

The solution is, the value of x = 3.

What is quotient and product rule of logarithm?

Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.

here, we have,

given that,

2 In e^(ln 5x) = 2 In 15

now, we have to solve it for x.

we know that,

e^(ln 5x) = 5x

using the rule of logarithm.

so, we have,

2 In (5x) = 2 In 15

now, for solving,

comparing both sides, we get,

15 = 5x

i.e. x = 15/5

or, x = 3

Hence, The solution is, the value of x = 3.

To learn more on Property of Logarithm click:

brainly.com/question/10418010

#SPJ7


If 6 hands is 2 feet and 3 feet is 7 arms and 3 arms is 2.5 heads, how many heads is 10 hands? Round to the nearest tenth

Answers

The question is an illustration of unit conversion

10 hands is equivalent to 6.5 heads

The given parameters are:

[tex]\mathbf{6\ hands = 2\ feet}[/tex]

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2

[tex]\mathbf{3\ hands = 1\ feet}[/tex]

Multiply both sides by 3

[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]

[tex]\mathbf{9\ hands = 3\ feet}[/tex]

Recall that:

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

Substitute 7 arms for 3 feet

[tex]\mathbf{9\ hands = 7\ arms}[/tex]

Divide both sides by 7

[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]

[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]

Multiply both sides by 3

[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]

[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]

Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

So, we have:

[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]

Multiply both sides by 7

[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]

Divide both sides by 27

[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]

Multiply both sides by 10

[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]

[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]

Hence, 10 hands is 6.5 heads

Read more about unit conversions at:

https://brainly.com/question/19420601

Slope Intercept form of a Line.

Answers

Answer:

Step-by-step explanation:

Slope: -3

y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)

Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.

The recipe for chocolate cake called for 3/4 of a cup of chocolate frosting if the bakery used one 5 1/4 of chocolate frosting how many chocolate cakes does the bakery make?

Answers

Answer:

It would make 7 batches of chocolate cake

Please help me
Will give brainly if you actually answer the questions

Answers

Answer:

29. b. 20

30. c. any real numbers

Step-by-step explanation:

I used a calculator let me know if im incorrect

in the equation dy+3x=2, for what value of d is the graph of the equation parallel to the graph of x-3y=0? the y axis?

Answers

Answer:

-9

Step-by-step explanation:

The slope of the the solving equation is triple the slope of the given equation. Therefore, the y coefficient must also be triple of the other y coefficient.

Danielle swam a total of 266 laps in the 7 days leading up to the swimming finals. How many laps did she swim each day if she swam the same number every day?

Answers

Answer:

Step-by-step explanation:

266 divided by 7 is 38 laps a day

A rectangle has a length 4 m less than twice its width. When 3 m are added to the width, the resulting figure is a square with an area of 100 m². Find the dimensions of
the original rectangle.

Answers

Answer:

305

Step-by-step explanation:

sorry!

A car is traveling at a speed of 30 meters per second. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not
round your answers.

Answers

Answer:

216,000

Step-by-step explanation:

Find the width of a rectangle with an area of 13 3/4 square feet and a length of 5 1/2 ft

Answers

Answer:

2.6

Step-by-step explanation:

Could you mark this the brainlist

Answer:

2.5 or 2 1/2 ft is the width

Step-by-step explanation:

Area of rectangle = length × width

(13 3/4 can also be written as 13.75)

(5 1/2 can also be written as 5.5)

Area = l × w

13.75 = 5.5 × w

13.75 ÷ 5.5 = w

2.5 = w

HELPPP LAST ATTEMPT!!

Answers

Answer:

(5, -3)

Step-by-step explanation:

(2,0) if u go to the right five then u get (0,0) then up to to get (2,0)

Can someone please help me with #1-#5?I don't know how to find the answer.​

Answers

Answers:

Slope = undefined; y intercept = noneSlope = 2; y intercept = -2Slope = -1; y intercept = 1Slope = 0Slope = -4

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

Explanation:

1)

For any vertical line, the slope is always undefined. Recall that slope = rise/run. For a vertical line, the run is 0 because there is no left or right movement. This leads to a division by zero error. The vertical line is also parallel to the y axis, meaning that there isn't a y intercept whenever the line isn't directly on top of the y axis.

The equation of this vertical line is x = 3 as all points on this line have the same x coordinate of 3.

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

2)

We can use the slope formula for the points [tex](x_1,y_1) = (-1,-4) \ \text{ and } \ (x_2,y_2) = (3,4)[/tex]

So,

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-4)}{3-(-1)}\\\\m = \frac{4+4}{3+1}\\\\m = \frac{8}{4}\\\\m = 2\\\\[/tex]

The slope is 2.

The y intercept is -2 as this is the location where the diagonal line crosses the y axis.

The equation of this line is y = 2x-2.

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

3)

Same idea as problem 2.

[tex](x_1,y_1) = (-2,3)\\\\(x_2,y_2) = (3,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-3}{3-(-2)}\\\\m = \frac{-2-3}{3+2}\\\\m = \frac{-5}{5}\\\\m = -1\\\\[/tex]

The slope is -1.

The y intercept is 1 because the line cuts through 1 on the y axis.

The equation is y = -1x+1 which is the same as y = -x+1.

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

4)

Pick any two points from the table. Each column represents a different (x,y) ordered pair point. Those two points selected are then plugged into the slope formula. I'll pick the first two columns.

[tex](x_1,y_1) = (1,-2)\\\\(x_2,y_2) = (2,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-(-2)}{2-1}\\\\m = \frac{-2+2}{2-1}\\\\m = \frac{0}{1}\\\\m = 0\\\\[/tex]

Notice how the y coordinates are the same, which leads to a difference of 0 up top and ultimately the slope itself is also 0. We have a horizontal flat line here. All horizontal lines have a slope of 0.

The y intercept is -2 because all y values for this function are the same.

The equation is y = 0x-2 which is the same as y = -2.

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

5)

Again I'll pick the first two columns to plug into the slope formula, but you can pick any two columns you prefer.

[tex](x_1,y_1) = (-3,11)\\\\(x_2,y_2) = (-1,3)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-11}{-1-(-3)}\\\\m = \frac{3-11}{-1+3}\\\\m = \frac{-8}{2}\\\\m = -4\\\\[/tex]

The slope is -4.

Use this slope value, along with any column from the table to form the (x,y) point, to plug into the slope intercept form below. I'll use the first column

y = mx+b

11 = -4*(-3)+b

11 = 12+b

11-12 = b

-1 = b

b = -1

The y intercept is -1.

The equation is y = -4x-1.

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