If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)

Answers

Answer 1

Answer:

3^x + 10x+2x-4

Step-by-step explanation:

f(x) = 3^x + 10x and g(x) = 2x - 4

(f + g)(x)= 3^x + 10x+2x-4

Answer 2

Answer:

(f + g) x = 3 ^x + 10 x + 2 x - 4

Step-by-step explanation:

f (x) = 3^x + 10 x and g(x) = 2x - 4,

sum of f (x ) and g ( x ) =

(f + g) x = 3 ^x + 10 x + 2 x - 4


Related Questions

which expression is equivalent to 4(3x+2)-5x

A = 7x+2
B = 7x+8
C+12x+2
D=2x+8

Answers

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8

It would be B hope this helps

Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.

A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem

B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.

C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.

D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.

Answers

Answer:

D

Step-by-step explanation:

ΔWXZ and ΔYZX

WZ ≅XY    {Given}

ZX ≅ ZX      {Reflexive property}

∠W ≅ ∠Y

But for SAS congruent the congruent angles should between congruent sides( WX & WZ should be congruent to ZY & XY respectively).

So it cannot be proved using SAS congruent

DOÑA JUANA TIENE CULTIVADO LO SIGUIENTE: 80 hm2 DE NARANJAS, 300 Dam2 DE MANDARINAS, 700000 dm2 DE LIMONES Y 8200000 cm2 DE TORONJAS. ¿CUANTAS HECTAREAS EN TOTAL TIENE CULTIVADAS?

Answers

Answer:

Doña Juana tiene 83,782 hectáreas cultivadas en total.

Step-by-step explanation:

Dado que Doña Juana tiene cultivadas 80 hectómetros cuadrados de naranjas, 300 decámetros cuadrados de mandarinas, 700000 decímetros cuadrados de limones y 8200000 centímetros cuadrados de toronjas, para determinar cuántas hectáreas en total tiene cultivadas se deben realizar los siguientes cálculos:

1 Hm2 = 1 hectárea x 80 = 80 hectáreas

1 Dam2 = 0.01 hectárea x 300 = 3 hectáreas

1 Dm2 = 0.000001 hectárea x 700000 = 0.7 hectáreas

1 Cm2 = 0.00000001 hectárea x 8200000 = 0.082 hectáreas

80 + 3 + 0.7 + 0.082 = X

83,782 = X

Por lo tanto, Doña Juana tiene 83,782 hectáreas cultivadas en total.

6
a
4
+
5
b
3
when
a
=
3
and
b
=

3

Answers

Answer:

27

Step-by-step explanation:

4a + 5b

12 + 15

=27

Simplify (-4a^5b) (2a^2b)

Answers

Answer:

[tex]-8a^{7b}[/tex]

Step-by-step explanation:

[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]

                    [tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]

A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?

Answers

Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

2w+2019 = 15w + 1838

Answers

Answer:

181/13 =w

Step-by-step explanation:

2w+2019 = 15w + 1838

Subtract 2w from each side

2w-2w+2019 = 15w-2w + 1838

2019 = 13w + 1838

Subtract 1838 from each side

2019 -1838 = 13w

181 = 13w

Divide each side by 13w

181/13 = 13w/13

181/13 =w

A cylinder has a radius of 7 inches and a height of 20 inches. What is the closest to the total surface area of this cylinder?

Answers

517 square in is the correct answer

Jacinta received a scholarship from the american meteorological society and was able to pay 43% of one year of her college with the scholarship money the remainder 11, 033.75 for the year was posted for with a student loan what was the total cost of 4 years

Answers

Answer:

$77429.824

Step-by-step explanation:

Let the total college cost for one year = x

43% of x was paid with scholarship fee

Percentage left = 100% - 43% = 57%

57% is equivalent to 11,033.75

57/100x= 11,033.75

0.57x = 11033.75

x = 11033.75 / 0.57

x =19357.456 ; this is Jacinta's college fee for a year ;

Hence

College fee for 4 years :

19357.456 * 4 = $77429.824

11. The length of a rectangle is decreased by 25%
and the width is increased by 40%. Calculate
the percentage change in the area of the
rectangle.

Answers

Answer:

Step-by-step explanation:

given.quesion.

The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle

to. find.

area of the rectangle

given

decreased. 25•/•

increased.40•/•

solusion

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 - 25%) x B x (1 + 40%)

A = L x B x 0.75 x 1.40 = L x B x 1.05

Therefore the area of the rectangle has increased by 5%.

required answer.

5•/•

answer. with. explamation. in. attachment.

hope. it's. helps. you.

i need help on this assignment

Answers

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Min had some cards He gave half of the cards to Bill. Bill give 1/3 of those cards to Sam. Sam gave 2 cads back to Min and Kept 6. How many cards did Min have in the end?

Answers

Answer: 26 cards

Step-by-step explanation:

Suppose there are x cards initially

Min gave half to bill i.e. 0.5x

Bill gives one-third of those cards to Sam i.e. [tex]\frac{1}{3}\times 0.5x[/tex]

Sam gave 2 cards back to min and kept 6 i.e. Sam gets 8 cards from Bill

[tex]\Rightarrow 8=\dfrac{1}{3}\times 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48[/tex]

So, min has 0.5x+2 cards i.e.

[tex]\Rightarrow 0.5\times 48+2\\\Rightarrow 26\ \text{cards}[/tex]

Need help with figuring out this zingoes problem asap, willing to give brainliest!

Answers

Answer:

The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes

Step-by-step explanation:

As far as I can tell, all the correct examples are

1) Symmetrical

2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)

The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line

(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)

can anybody help me to solve with steps

Answers

Answer:

x = 7

Step-by-step explanation:

The sum of both angles are complementary that is;

6x + 48 = 90

6x = 90 - 48

6x = 42

x = 42/6

x = 7

Hence the value of x is 7

Terry sees this offer:
Refurbished Phone = 35% off
Now only £78

How much was the phone before the discount?

Answers

The phone was 120 (1%=1.2 so 1.2x100)

Can someone pls give me the answer to this?

Answers

it would be 10

Step-by-step explanation:

once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10

What is the
value of the question. ?

Answers

Answer:

Step-by-step explanation:

Divide the numbers first because that's the easy part and we've been dividing since like 5th grade.

1.6/.2 = 8. Now for the exponents.

When you divide like bases, you subtract the exponents. Our bases are both 10's, so they are like. Subtracting the exponents gives us 10³. So the answer is 8 × 10³, choice B.

Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300

Answers

Answer:

B $1050

Step-by-step explanation:

Determine 30% of the price

1500 * 30%

1500 *.30

450

Subtract this from the price

1500-450

1050

Answer:

B $1050

Step-by-step explanation:

0.3 x 1500 = 1050

Solve the system of equations.

3x – 7y = 5
9y = 5x + 5

Answers

The answer X= -10 y= -5
Hope this is helpful

how do i solve this

Answers

Answer:

A = 61

Step-by-step explanation:

Complementary angles add to 90 degrees

A+B = 90

A +29 = 90

A = 90-29

A = 61

Answer:

∠A = 61°

Step-by-step explanation:

We know that sum of both angles of complementary angle is 90°.

∠A + ∠B = 90°

∠A + 29° = 90° ... (∠B = 29° - given )

subtract 29° from each side

∠A + 29° - 29° = 90° - 29°

∠A = 61°

The roots of the equation 2x² – 5 = 0 are
1) imaginary
2) real, rational, and equal
3) real, rational, and unequal
4) real and irrational
Will give brainlest to the correct answer

Answers

Answer:

4

Step-by-step explanation:

x = root under 5/2

so it is real and irrational number

Simplify 45÷2×8-12+42
Please show working

Answers

Answer:

210

Step-by-step explanation:

Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

45 ÷ 2 = 22.5

22.5 × 8 = 180

180 - 12 = 168

168 + 42 = 210

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Have a great summer :)

A dolphin is swimming 4 feet below the surface of the water. The number -4 represents the dolphin's position relative to the surface of the water. What position does the number 4 represent?

Answers

Answer:

4 represent how many feet from surface

Step-by-step explanation:

Hi! 4 represents the number the dolphin is above the surface because -4 represents under the surface so 4 represents above. I hope this helps, Goodluck! :)

rajus father is three times old as Raju. If the sum of their ages is 56 years,find their ages?
please help​

Answers

Answer:

raju age- 14, his father age-42

Step-by-step explanation:

let raju age=x

his father age will be 3x

x+3x=56

4x=56

x=56/4

x=14

raju age =x=14

his father age=3x=14×3=42

audio
For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect?

Answers

8 cans

48/6=8

since each student collected equal amounts then divide the number of cans by the number of students


Which expression makes the equation true for all values of x?
16x – 16 = 4(.? _)
A 4x - 4
B 4x - 16
C 2x - 2
D 12x - 12

Answers

Answer:

16x - 16 = 4(4x - 4) Step-by-step explanation:

Craig was at an auction and bought five different items using the clues below to determine the price he paid for each item the chair was the most expensive item which sold for $95 the range of the prices of the five items was $75 the stereo is the least expensive item Craig bought the TV for $25 the video game player was $20 more than the TV the bed with

Answers

Complete question is;

Craig went to an auction and bought five different items. Use the clues below to determine the price he paid for each item.

1. the chair was the most expensive item, which sold for $95.

2. The range of the prices of the five items was $75.

3. The stereo was the least expensive item.

4. Craig bought the TV for $25.

5. The video game player was $20 more than the TV.

6. The bed was $60 more than the stereo.

Answer:

Cost of chair = $95

Cost of stereo = $20

Cost of TV = $25

Cost of video game player = $45

Cost of bed = $80

Step-by-step explanation:

We are told the chair was the most expensive item which was $95.

the range of the prices of the five items was $75. This means;

Highest price - lowest price = $75

Since highest price is $95, then lowest price = 95 - 75 = $20

stereo is the least expensive item. Thus, stereo will cost $20.

TV was bought for $25

video game player was $20 more than the TV. Thus, video game player cost = 25 + 20 = $45

Bed was $60 more than stereo. Thus,

Cost of bed = $20 + $60 = $80

(4/9)^-1=


A. -4/9

B. 9/4

C. -9/4

Answers

Answer: 9/4

Step-by-step explanation: Think of [tex](\frac{4}{9})^{-1}[/tex]as [tex]\frac{4^{-1} }{9^{-1}}[/tex].

Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and

we can change 9⁻¹ to 9¹ by moving it to the numerator.

So we have 9¹/4¹ which simplifies to 9/4.

Four friends raised a total of $730 for a local charity. Each friend raised the same amount of money. Model the total amount that the friends raised using the least number of base-ten blocks possible.

Answers

Answer:

Each friend raised $ 182.50.

Step-by-step explanation:

Given that four friends raised a total of $ 730 for a local charity, and each friend raised the same amount of money, for model the total amount that the friends raised the following calculation must be performed:

730/4 = X

182.5 = X

Therefore, each friend raised $ 182.50.

An equilateral triangle has perimeter 30. What is the height of the triangle?

Answers

Answer:

An equilateral triangle with a perimeter = 30 has each side = 10.

The height of an equilateral triangle = side * sqr root (3) / 2 =

10 * 1.7320508076 / 2 = 17.320508076 / 2 = .866025...

http://www.1728.org/triang.htm

 

 

Step-by-step explanation:

Other Questions
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