(a−2b)^3 when a=−4 and b=−1\2

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

Answer:

max profit is 8000

and units sold to obtain max profit is 3000

Step-by-step explanation:

This equation is in general form for a parabola equation

so the vertex represent the maximum profit and units to be sold

General form looks like this

7=a(x-p)²+q

where p and q is the vertex, ie the max point

in this equation

p=3000

q=8000

so max profit is 8000

and units sold to obtain max profit is 3000

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

Answer:

●y = mx + c

c = intercept

y = 9x + 2

intercept c =2

Answer:

Yes

Step-by-step explanation:

Yes, the graph represents a function because it passes the vertical line test:  Any vertical line drawn through this graph intersects this graph only once.  

Answer:

<2 & <4

Step-by-step explanation:

yeah-ya........ right?

Answer:

16.2

Step-by-step explanation:

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

Answer:

End of round 1:

128 ÷ 2 = 64

End of round 2:

64 ÷ 2 = 32

End of round 3:

32 ÷ 2 = 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation: i think :)

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

⇒ 10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

Learn more aboput the multiplication visit:

https://brainly.com/question/10873737

#SPJ5

Answer:

52

Step-by-step explanation:

add the columns with the female opinions (2 + 26 + 6)

then you get 52

Answer:

-2

Step-by-step explanation:

[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2

Answer:

34.71%

Step-by-step explanation:

1112-100 percent

386-x percent

x=386*100/1112≈34.71

The percentage of students living with their parents is 34.44%. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.

The percentage of the students who live with their parents will be calculated as,

Percentage = ( 386 / 1120 ) x 100

Percentage = 0.3471 x 100

Percentage = 34.71%

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

1.65

Step-by-step explanation:

Answer:

*Find a number on top of the fractions and a number on the bottom of the fractions that can both be divided by the same number.

*Divide both numbers in the fractions by this number.

*Write the answers to this division in the place of the original numbers in the fraction.

Answer:

18

Step-by-step explanation:

6*6/2 = 18

Answer:

Just apply the same method to part B

x:24

5:8

x3 x3

15:24

Answer:

8

7

Step-by-step explanation:

24 purple

green : purple = 1 : 3

g / p = 1/3

g / 24 = 1/3

g = 24/3

g = 8

now abbi put x green crayons into box

now green : purple = 5 : 8

(8 + x) / 24 = 5/8

8 + x = 5/8 * 24

8 + x = 5 * 3

8 + x = 15

x = 15 - 8

x = 7

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]

[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]

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

[tex]2t = t-5[/tex]

[tex]t=-5[/tex]

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

Answer:

Your answer is 3/25

Step-by-step explanation:

Answer:

The answer  is 12/100 or 6/50

Answer: isn't it 42÷7=6?

Answer:

42 / 7 = 6

Step-by-step explanation:

Just use a multiplication table.

Answer:

30 percent

Step-by-step explanation:

That is not rounded. Just straight, plain, 30 percent.

Answer:

4!!!

Step-by-step explanation:

brainliest please?

Answer:

4

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

Use sine to find the measure of ∠A:

Answer:50

Step-by-step explanation:

15 : 5 = 3

250  : 5 = 3

Answer: 5798

Step-by-step explanation:

Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  [tex]^n C_r p^{r} q^{n-r}[/tex]

[tex]p =[/tex]success rate

[tex]q=[/tex] failure rate

[tex]p+q=1[/tex]

[tex]n=[/tex]Number of trials

[tex]r=[/tex] number of success

According to the question,

Total number of trials [tex]'n' =4[/tex]

Number of success [tex]'r' =1[/tex]

[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]

Substitute the value to get the required probability,

Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]

                   [tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]

                   ≈ [tex]0.4[/tex]

Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

Learn more about probability here

brainly.com/question/11234923

#SPJ2