For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).
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Answer:

Approximately 124.327586

Step-by-step explanation:

Hope this helped.

Answer:

124.3275862068966

Step-by-step explanation:

I put it in my calculator

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

Answer:

100 degrees C.

Step-by-step explanation:

100 degrees C

The 'size' of the unit is the same.

0 degrees K to 100 degrees K is equivalent to:

-273 degrees C to - 173 degrees C.

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

Answer:

0.2173913043

Step-by-step explanation:

the answer is 0.21739

Step-by-step explanation:

[tex]radius = 9[/tex]

[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]

[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]

[tex]putting \: the \: values[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]

[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]

Answer:

27π square units

Step-by-step explanation:

Note that a central angle of 120° is exactly 1/3 of a full circle.

So to find the area of this sector, find the area of the whole circle and divide your result by 3:

A = (1/3)π(9)^2 = 27π square units

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

Answer:

Step-by-step explanation:

to prove that 1/ (sec x - tan x) = sec x + tan x

from the right hand side sec x + tan x =

from trigonometry basics  

sec x = 1/ cos x

tan x = sin x/ cos x

so, sec x + tan x =  1/ cosx + sinx/ cosx

finding the lcm

= (1+ sinx)/cos x

= (1 + sinx) cosx/ cos²x

= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)

( 1 + sinx) cancels the (1- sinx)  at the denominator

so we have;

= cos x/ 1 -sinx

1/1/cosx - sinx/cosx

remember that 1/ cos x = sec x

and also sinx/cos x = tan x

so therefore we have 1/ sec x - tanx

since LHS = RHS  then we can say that 1 / sec x - tan x = sec x + tan x.

Answer:

Step-by-step explanation: B

Answer:

the two numbers are 12 and -29

Step-by-step explanation:

let the two numbers be x and y

let the sum of the two numbers b

x+y = -17 ..................................................... equation 1

let the difference between the two numbers be

x-y = 41 ........................................................................ equation 2

from equation 1

x+y = -17 ..................................................... equation 1

x = -17 - y ............................................................... equation 3

substitute for x in equation 2

x-y = 41 ........................................................................ equation 2

-17-y -y = 41

-17 -2y = 41

-2y = 41 + 17

-2y = 58

divide both sides by -2

-2y/-2 = 58/-2

y = -29

put the value of y = -29 in equation 3

x = -17 - y ............................................................... equation 3

x = -17-(-29)

x =-17 + 29

x = 12

therefore the two numbers are 12 and -29

Answer: X= 39

please mark brainliest

Step-by-step explanation:

102+39= 141

180-141 =39

it has to equal to 180 degrees

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{If\ you're\ trying\ to\ find\ out\ what\ gives\ you\ 38\ then\ let's solve\ for\ it.}[/tex]

[tex]\large\text{38\ has\ FOUR \ factors: \ 1 , 2 , 19 , 28}[/tex]

[tex]\mathsf{So, now\ that\ we\ have\ the\ factors\ let's\ answer\ the\ question!}[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{2\times19}}}\mathsf{\ =38 }[/tex]   [tex]\checkmark[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{1\times38}}}\mathsf{\ \ =30}[/tex]  [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{19\times2}}}\mathsf{\ = 38}[/tex]     [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{38\times1}}}\mathsf{ \ = 38}[/tex]    [tex]\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}\huge\text{\dag}[/tex]

The edge length of a cube with a volume of 216 cubic inches is 6 inches.

To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.

Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":

[tex]x^3 = 216[/tex]

To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.

In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.

Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.

To Learn more about original number here:

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Answer:

Step-by-step explanation:

That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)

Perimeter is the sum of the 4 sides.

4+ 4 + 10 + 10 = 28 km

Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.

Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.

Final answer:

To calculate j(4), we plug in 4 into the function j(m) = 2m - 1, which gives us j(4) = 7.

Explanation:

To determine the value of j(4) in the given function j(m) = 2m - 1, a straightforward substitution is applied. By replacing the variable m with the provided value of 4, the expression j(4) is computed as 2 × 4 - 1, yielding 8 - 1, which simplifies to 7. Therefore, the value of j(4) is unequivocally established as 7. This process exemplifies the fundamental concept of function evaluation, showcasing how input values substitute variables within a function, ultimately producing a specific numerical result for a given function and input combination.

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

So this is an inverse relationship. We can write this as:

[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

Answer:

15

Step-by-step explanation:

1+2+3+4+5 = 15

Answer (1.04x=2. X=30103/.017033= 17.673

Answer:

Step-by-step explanation:

(1.006)^7x

First subtract 8 from 8 and -40 because it is even.

Then divide -48 by 12, which equals -4.

Hope this helped! If it didn't, tell me what went wrong or confused you.

Answer:

The answer is x=-4

Step-by-step explanation:

-40=12x+8

-8          -8

-48=12x

-48/12=x

-4=x

The sum of the series is -4.

Step-by-step explanation:

Step 1:

The symbol Σ is called sigma and it is used to sum all the values in it.

The lower limit is 3 while the upper limit is 6.

So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.

Step 2:

Now we the values of k are substituted and values are determined.

When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]

When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]

When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]

When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]

Step 3:

Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to

[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]

So the sum of the given series is -4.

Answer:

C

Step-by-step explanation:

18x - 24 = 2 [length + 2x - 9]

9x - 12 = length + 2x - 9

Length = 7x - 3

Answer:

C: 7x - 3

Step-by-step explanation:

The perimeter of a rectangle is  given by

P = 2(l+w) where l is the length and w is the width

We know the perimeter is 18x -24 and the width is 2x-9.  Substituting these values into the equation

18x-24 = 2( l+2x-9)

Divide each side by 2

(18x-24)/2 = 2/2( l+2x-9)

9x-12 = l+2x-9

Add 9 to each side

9x-12 +9 = l+2x-9+9

9x -3 = l+2x

Subtract 2x from each side

9x-2x-3 = l+2x-2x

7x -3 = l

The length is 7x-3

Answer:

3

Step-by-step explanation:

Three more than the product of a number and 4 is 15.

3 + (x * 4) = 15

Multiply x by 4

3 + 4x = 15

Subtract 3 from both sides of the equation

4x = 12

Divide both sides of the equation by 4

x = 3

3

Hope this helps :)

Answer:

3

Step-by-step explanation:

Let the number be A

3 more than the product of A and 4 is 15

That’s

3 + (A x 4 ) = 15

3 + 4A = 15

Subtract 3 from both sides

3 - 3 + 4A = 15 - 3

4A = 12

Divide both sides by 4

A = 12/4

A = 3

Answer:

9yz(5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz(5y+4z+2)

And that's our answer.

Answer:

either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.

Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.

The square root of 1000 is between 28 and 32. so option D is correct.

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.

That means, we've got:

[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]

Perfect square are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

We need to find the square root of 1000

So, the square root of 1000 is 31.6227766017

[tex]\sqrt{1000} = 31.622[/tex]

Thus, The square root of 1000 is between 28 and 32. so option D is correct.

Learn more about square root here:

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The square root of 1000 lies between 28 and 32, so the correct answer matches option D.

To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:

The square root of 900 (which is 30²) is 30.

The square root of 1024 (which is 32²) is 32.

Therefore, the square root of 1000 lies between 30 and 32.

This matches option D which states between 28 and 32.

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

Answer:

The better one is 32- ounce hope this helps and please make me the brainliest

Step-by-step explanation:

Answer:

Laptop= $3250 Desktop = $2900

Step-by-step explanation:

L= D+350

7%D+6%I = 398

Answer:  [tex]Total\ number\ of\ people=70[/tex]

Step-by-step explanation:

For this exercise let "m" represents the total number of men at the meeting.

You know that the total number of people at the meeting represents de 100% of the people there.

According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:

[tex]100\%-40\%=60\%[/tex]

As you can notice, 60% of the perople are women.

Then,  knowing that the number of women is 42, you can set up the following proportion:

[tex]\frac{42}{60}=\frac{m}{40}[/tex]

Solve for "m" in orde to find its value:

[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]

Therefore, the total number of people at the meeting  is:

[tex]Total\ number\ of\ people=42+28=70[/tex]