What is the sign of f

Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).

[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]

Where [tex]x+4>=0[/tex] for x to be real.

So solve the inequality and you will obtain the domain:

[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].

Range is equal to the range of square root function,

[tex]y\in[0, +\infty)[/tex].

Hope this helps.

Answer: 10

Step-by-step explanation:

Step-by-step explanation:

10x-8y = 40 (1)

5x-2y= 40  (2)

multiply (2) by -2 then add to (1) to get rid of x

-10x+4y+10x-8y = 40+ (-80)

-4y = -40

4y = 40

y= 40/4

y = 10

the answer is 10

Answer:

{2 pi/3}x units

Step-by-step explanation:

i got it right on edg

Answer: Option B

{2 pi/3}x units

Step-by-step explanation:

Answer:

A= 20x

B= 15n

C= 15x+ 9

D= a + 15

E= 9x + 3y

F= 10w + 10z

Step-by-step explanation:

Answer:

  2.46% monthly pays the most

Step-by-step explanation:

The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...

  r' = (1 +r/n)^n -1

For 2.43% compounded daily, the effective annual rate is ...

  r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%

For 2.46% compounded monthly, the effective annual rate is ...

  r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%

For 2.47% compounded annually, the effective annual rate is ...

  r' = (1 +0.0247/1)^1 -1 = 2.47%

__

The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)

Answer:

A.

Step-by-step explanation:

A. i just took the test

Answer:

720 words

Step-by-step explanation:

There are 6 letters in the word SURVEY and no repeat letters. There are 6 choices for the first letter, 5 for the second and so on until we have 2 choices for the last letter so the answer is 6 * 5 * 4 * 3 * 2 = 720.

Answer:

(2, 6)

Step-by-step explanation:

The solution will be where the two lines intersect. From the graph, that point is (2, 6).

Answer: B) 30 degrees

Step-by-step explanation:

Look at this in a series of equations.  The supplement of an angle(x) is 180 - x.  The complement of an angle(x) is 90 - x.  Thus the supplement of an angle(180 -x) is 30 degrees larger than twice its complement(90 - x).  Thus, 180 - x = 30 + 2(90 - x)

180 - x = 30 + 180 - 2x

180 - x = 210 - 2x

x = 30

Answer: B) 57 degrees

Step-by-step explanation:

4(90-x) = 180 - x + 9

360 - 4x = 180 - x + 9

360 - 4x = 189 - x

360 = 189 + 3x

171 = 3x

57 = x

Hope it helps <3

(If it does, please mark brainliest, so close to next rank :) )

Answer:

D) Peer review

Step-by-step explanation:

Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific  explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.

Explanation:

Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).

Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.

The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.

Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.

Answer:

Explained below.

Step-by-step explanation:

The information provided is:

n = 200

X = 106

α = 0.05

The sample proportion is:

[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]

(a)

A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.

The hypothesis is:

H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]

Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]

(b)

Compute the value of the test statistic:

[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]

   [tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]

Compute the p-value as follows:

[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]

*Use a z-table.

Thus, the p-value of the test is 0.198.

(c)

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.198 > α = 0.05

The null hypothesis will not be rejected.

The correct option is (A).

(d)

Conclusion:

There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.

Answer:

monthly income=$900

the monthly income was multipled by 2

so, real income was, $900/2

=$ 450

so, $450×2=$900...

The real income is $400.

The term multiplication refers to the product of two or more than two numbers.

Let us assume that the real income is x.

We have to multiply the real income by 2 to get the monthly income of $900.

This implies that [tex]x\times 2=\$900[/tex],

Solving the above expression, we will get

[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]

So, the real income is $400.

Learn more about expression here-https://brainly.com/question/14083225

#SPJ2

Answer:

The answer is below

Step-by-step explanation:

They would be written like this:

Arithmetic Progression:

Explicit formula

Tn = a + (n-1) * d

Recursive formula

Tn = Tn-1 + d

Where a is the first term, d is the common differance and n is the number of terms.

Geometric Progression:

Explicit formula

Tn = a * r ^ (n-1)

Recursive formula

Tn = Tn-1 * r

Where r is common ratio

Answer:

The answer is 150

Step-by-step explanation:

I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.

Just division, fairly simple with or without a calculator.

Answer:

120 Hours

Step-by-step explanation:

24 hours in a day

5 days

24 x 5 = 120

Answer:

Work done = 0 J

Step-by-step explanation:

work done= ∫ F. dr

                   = [tex]\int\limits^2_0 {x} \, dx[/tex] +  [tex]\int\limits^2_2 {x} \, dx[/tex]  + [tex]\int\limits^0_2 {x} \, dx[/tex]  + [tex]\int\limits^0_0 {x} \, dx[/tex]  +  [tex]\int\limits^0_0 {y} \, dy[/tex]  + [tex]\int\limits^5_0 {y} \, dy[/tex]  + [tex]\int\limits^5_5 {y} \, dy[/tex]  + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex]  + [tex]\int\limits^1_0 {z} \, dz[/tex]  + [tex]\int\limits^1_1 {z} \, dz[/tex]  + [tex]\int\limits^0_1 {z} \, dz[/tex]

Work done= x²/2 + y²/2 + z²/2

Applying integral limits for entire pathway

Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2

Work done = 0 J

Answer:

Not reject null hypothesis since the p value is greater than 0.05

Step-by-step explanation:

We have the following:

z = (x ^ -m) / (sd / n ^ (1/2))

Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:

z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89

P (x> 8.2) = P (z> 1.89)  

P (x> 8.2) = 1 - P (z <1.89)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) = 0.0287

since this is a two tailed test, the area of 0.0287 must be doubled the p value

the p value = 0.05794

Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05

Answer:

$4.25

Step-by-step explanation:

We can create a proportion to find how much 25 oz will cost:

[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]

We can cross multiply to find x.

16.4x = 69.75

x = 4.25

So, this means 25 ounces of cereal will be $4.25

Answer:

Slope of the regression line

Step-by-step explanation:

The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.

The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.

Answer:

1

Step-by-step explanation:

To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

[tex]\sum x = 35[/tex]

[tex]\sum x^2 = 139[/tex]

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

[tex]\sum y = 24[/tex]

[tex]\sum y^2 = 72[/tex]

[tex]\sum xy = 55[/tex]

[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]

[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]

b) Linear correlation between Lyme disease and drowning deaths.

[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]

r = -15/ √(24*36.92)

r = -0.504

Answer:

A) g(x) has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

[tex]f(x) =-x^{2}+4x-5[/tex]

Let us convert it to vertex form to find its vertex.

Taking - sign common:

[tex]f(x) =-(x^{2}-4x+5)[/tex]

Now, let us try to make it a whole square,

Writing 5 as 4+1:

[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

[tex]f (x) = a(x - h)^2 + k[/tex]

Comparing the equations we get:

a = -1 (Negative value of a means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

Hence, correct answer is:

A) g(x) has a greater absolute maximum.

Answer:

g(x) has a greater absolute maximum.

Answer:

  -1

Step-by-step explanation:

In many cases, the simplified expression is not undefined at the point of interest.

  [tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]

This can be evaluated at x=1:

  -1/√1 = -1

Then, the limit is ...

  [tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]

__

A graph confirms this conclusion.

Answer:

f(x)=-x+11

Step-by-step explanation:

Answer:

The answer is option A.

Step-by-step explanation:

To find angle C we use the cosine rule

That's

AB² = AC ² + CB ² - 2(AC)(CB)cos C

AC = 7.5

AB = 6

CB = 6.5

6² = 7.5² + 6.5² - 2(7.5)(6.5)cosC

36 = 56.25 + 42.25 - 97.5cos C

36 - 98.5 = - 97.5 cos C

-62.5 = - 97.5 cos C

cos C = -62.5 / - 97.5

C = cos ^-1 25/39

C = 50.1

The final answer is

Hope this helps you.

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4