Simplify. 2u^2-2/ u^2-3u+2

The answer to your question is:

1 < x < 3

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

[tex]\sqrt{37} \approx6.0827[/tex]

then this point is located in between the integers 6 and 7 on the x-axis.

[tex]5\,\sqrt{11} \approx 16.58[/tex]

therefore, it is located between the integers 16 and 17 on the number line.

Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

Answer:

A.

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

From the given parameters;

[tex]m:n = 2:5[/tex]

[tex]m = 2\ and\ n = 5[/tex]

[tex]x_1 = -14\ and\ x_2 = 2[/tex]

Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

This gives:

[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

From the list of given options, only option A uses the given form of the formula...

Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

Answer: The correct answer is the first answer, a.  y = one sixteenth(x − 4)2 + 2

Answer:

5x^2 -3x +9

Step-by-step explanation:

(5x2 + 7) - (3x - 2)

Distribute the minus sign

5x^2 +7 -3x +2

Combine like terms

5x^2 -3x +9

Answer:

y = 1/2x +5

Step-by-step explanation:

The slope intercept form of a line is

y= mx+b where m is the slope and b is the y intercept

y = 1/2x +5

Answer:

y = 1/2x +5

Step-by-step explanation:

The y intercept is 5 because the line goes 5 units up.

and the slope is 1/2

Answer:

x ≈ 49.5°

Step-by-step explanation:

We use cos∅ to solve this:

cosx = 13/20

x = [tex]cos^{-1}(13/20)[/tex]

x = 49.4584

Answer:

[tex]-1868[/tex]

Step-by-step explanation:

[tex]-165 - 1703[/tex]

Subtract the numbers.

[tex]=-1868[/tex]

Answer:

-1868 is the simplified polynomial

Step-by-step explanation:

-165 -1703

= -165 + -1703

= -(165+1703)

= -(1868)

Answer:

(approx)=50.9266

Hence, the [tex]m[/tex]∠[tex]BAC[/tex] is [tex]56.86[/tex].

What is the triangle?

A triangle is a closed, two-dimensional shape with three sides, three angles, and three vertices. A triangle is also a polygon.

Draw the diagram

Here given that,

[tex]AB = 21, OB = 10[/tex]

So, applying the sine angle

[tex]sin(BAO)=\frac{OB}{AB}\\\\sin(BAO)=\frac{10}{21}\\\\BAO=sin^{-1}(\frac{10}{21})\\\\BAO=28.43[/tex]

So,

[tex]BAC=2(28.43)\\\\BAC=56.86[/tex]

Hence, the [tex]m[/tex]∠[tex]BAC[/tex] is [tex]56.86[/tex].

To know more about the triangle

https://brainly.com/question/14712269

#SPJ2

Answer:

[tex]6^2[/tex]

Step-by-step explanation:

[tex]10^2-4^3[/tex]

[tex]100-64[/tex]

[tex]=36[/tex]

[tex]=6^2[/tex]

Answer:

  10² - 4³ =

= 10×10 - 4×4×4

= 100 - 16×4

= 100 - 64

= 36

= 6×6

= 6²

Answer:

The two numbers are 100 and 10

Step-by-step explanation:

Let's call the two numbers x and y.

[tex]x-y=90 \\\\x\div y=10[/tex]

Add 7 to both sides of the first equation to isolate x:

[tex]x=90+y[/tex]

Substitute:

[tex](90+y)\div y=10 \\\\90+y=10y \\\\90=9y \\\\y=10 \\\\x=100[/tex]

Hope this helps!

Answer:

x = 100

y = 10

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

x - y = 90  ----(1)

Condition 2:

[tex]\frac{x}{y} = 10[/tex]   --------(2)

Taking eq (1)

x - y = 90

x = 90+y -----(3)

Putting ep (3) in (2)

[tex]\frac{90+y}{y} = 10[/tex]

=> 90+y = 10y

=> 90 = 10y-y

=> 90 = 9y

Dividing both sides by 9

=> y = 10

Putting y = 10 in eq (1)

=> x-10 = 90

=> x = 90+10

=> x = 100

Answer:

I believe the estimate is 9.3

Answer: 9.4

Step-by-step explanation:

If 9 x 9 is 81 9.4 x 9.4 is about 88  

Answer:

A

Step-by-step explanation:

[tex]-2(5y-5)-3y\leq -7y+22[/tex]

Expand parentheses:

[tex]-10y+10-3y\leq -7y+22[/tex]

Move all y's to one side and numbers to the other:

[tex]-6y\leq 12[/tex]

Divide both sides by -6. Since you are dividing both sides by a negative number, you need to flip the comparator:

[tex]y\geq -2[/tex]

Hope this helps!

Answer:

[tex]y\ge \:-2[/tex]

Step-by-step explanation:

[tex]-2(5y-5)-3y \leq -7y+22[/tex]

Expand the brackets

[tex]-10y+10-3y \leq -7y+22[/tex]

[tex]-10y-3y+10 \leq -7y+22[/tex]

[tex]-13y+10 \leq -7y+22[/tex]

Add 7y and -10 on both sides.

[tex]-13y+7y \leq 22-10[/tex]

[tex]-6y \leq 12[/tex]

Divide -6 on both sides.

[tex]\frac{-6y}{-6}\ge \frac{12}{-6}[/tex]

[tex]y\ge \:-2[/tex]

Answer:

A rabbit can run 3 miles in one minute.

Step-by-step explanation:

45 : 15

3 : 1

A rabbit can run 3 miles in one minute.

Answer:

(6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

To get from a₄ to a₉, we multiply a₄ by r⁵ (since 9 - 4 = 5). We know a₄ and r = 1/2 so the answer is 1/2 * (1/2)⁵ = 1/64.

Answer:

Yes.

Step-by-step explanation:

[tex]f\left(x\right)=-3x+2[/tex]

[tex]f\left(-1\right)=-3(-1)+2[/tex]

[tex]y=f(-1)=5[/tex]

The domain of this function is all Real numbers [tex]\:\left(-\infty \:,\:\infty \:\right)[/tex]

[tex]\{x \in \mathbb{R}: -\infty \:<x<\infty \}[/tex]

The function f(x)=−3x+2 is definitely defined over the domain −1.

A certain kind of relationship called a function binds inputs to essentially one output.

A function basically gives us the nature of the relationship between variables. For example y = 3x it's giving a straight line and linear relation.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In order to define a function f(x) at x = a the value of function f(x) at that point should be unique.

Its that f(x) at x =a or f(a) = unique.

Given the function f(x)=−3x+2

The value of function at x = -1

f(-1) = -3(-1) + 2

f(-1) = 3 + 2 = 5 hence the given function is defined over the x = -1.

For more about the function

brainly.com/question/23712366

#SPJ2

Answer:

It's 10

Step-by-step explanation:

Answer:

not enough information given, but the answer

depends:

if the list doesn't contain repetition, each number can only appear 1 per 7 times, and the max number that can be generated in such list is only 7 since repetition is not allowed

if the list does allow repetition, however, it would be infinite (if there is no limit set) which means 100% or more chance for each number to appear in the list.

The chance that each number will occur is 1.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, We have a randomly generated list of numbers from 0 to 6.

Therefore, The probability of occurring each number is 1/7.

Now, The chance of occurring each number is,

= 1/7 +  1/7 +  1/7 +  1/7 +  1/7 +  1/7 +  1/7.

= 7/7.

= 1.

For any trial we'll see a number form 0 to 6.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

learn more about probability here :

https://brainly.com/question/743546

#SPJ7

Answer:

1. 5cm

2. 10 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

You got the answer right.

The first question BC is 5 cm.

In the second question, we gotta find the hypotenuse.

In a 45 45 90 triangle, the hypotenuse will have a length of  [tex]x\sqrt{2}[/tex], therefore, the side AC is equal to [tex]10\sqrt{2}[/tex].

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

[tex]s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20[/tex]

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

[tex]s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} [/tex]

since the cost price of bag doesn't change and equating 1 and 2 we get

[tex]20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\bf\Large\red{ THANKS \: FOR \: YOUR}[/tex]

[tex]\bf\Large\red{ QUESTION \: HOPE \: IT } [/tex]

[tex]\bf\Large\red{ HELPS }[/tex]

[tex]\Large\mathcal\green{FOLLOW \: ME} [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer:

Here, V(r) is the function dependent on the variable r whch is the radius of any sphere.

By plugging different values of r in the formula. one can find the volume associated with it.

Here, V(r) represents the volume of the sphere when the radius is equal to r.

Step-by-step explanation:

Answer:

The inverse of [tex]2(x - 2)^2 = 8(7 + y)[/tex] is [tex]y=\sqrt{(4x+28)}+2[/tex]

Step-by-step explanation:

Given equation :[tex]2(x - 2)^2 = 8(7 + y)[/tex]

[tex]\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y[/tex]

Replace x with y and y with x

So, [tex]\Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2[/tex]

So, Option C is correct

Hence The inverse of [tex]2(x - 2)^2 = 8(7 + y)[/tex] is [tex]y=\sqrt{(4x+28)}+2[/tex]

Answer:

y=2+√28+4x

Step-by-step explanation:

Answer:

The real part is -1

Step-by-step explanation:

The real axis is the horizontal axis

The value on the horizontal axis is -1

Answer:

(k,k)

Step-by-step explanation:

slope of line=1

so x=y

y=k

x=k

Hence point is (k,k)

Answer:

it is number three

Step-by-step explanation:

because

Answer:

From the graph, the slope is -4/5 and the y-intercept is 4 so the slope-intercept equation is y = -4/5x + 4. To convert to standard form we'll do:

y = -4/5x + 4

5y = -4x + 20

4x + 5y = 20

Answer:

500,000 + 7,000 + 20 + 1

Explanation:

When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.

Here are some examples of a number and its expanded form:

· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3

· 3,905 = 3,000 + 9,000 + 5

· 42,069 = 40,000 + 2,000 + 60 + 9

* note:

if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.

Now that we understand what expanded form is, let's write 507,021 in expanded form.

Start by writing a list for the values of each individual digit:

· 500,000

· 7,000

· 20

· 1

Next, write the numbers so that they show they must be added.

500,000 + 7,000 + 20 + 1

Therefore, the expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.

Step-by-step explanation:

[tex] [\sin^2 \theta - (\cos^2 \theta) (\sin^2 \theta)] ^{-1} \\

=[\sin^2 \theta \{1- (\cos^2 \theta) \} ] ^{-1} \\

=[\sin^2 \theta \times \sin^2 \theta ] ^{-1} \\

=[\sin^4 \theta ] ^{-1} \\

=[(\sin\theta)^4 ] ^{-1} \\

=[(\sin\theta)^4 ] ^{-1} \\

=[(\sin 30\degree )^4 ] ^{-1} \\\\

=\bigg[\bigg(\frac{1}{2}\bigg)^4 \bigg] ^{-1} \\\\

=\bigg[\frac{1}{16}\bigg] ^{-1} \\\\

= 16[/tex]

Answer:

1/42

Step-by-step explanation:

[tex]\dfrac{1}{7}\cdot \dfrac{1}{6}= \\\\\\\dfrac{1\cdot 1}{7\cdot 6}= \\\\\\\dfrac{1}{42}[/tex]

Hope this helps!

Answer:

1/42

Step-by-step explanation:

1/7(1/6)=(1/7)(1/6)

=(1)(1)(7)(6)=1/42 = 0.02381