Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.

Answers

Answer 1

Answer:

7x + 2

Step-by-step explanation:

Answer 2

Answer:

All real numbers

Step-by-step explanation:

Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12

If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.


Related Questions

A. Find x
B. Find the measure of angle b
C. Find the measure of angle c

Answers

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:

a) parallel

b) perpendicular

Answers

Answer:

a) a=-12

b) a=27

Step-by-step explanation:

a) parallel lines have = slopes SO

-3/2 = -3/2

-3/2 = 18/a

-3a/2 = 18

-3a = 18 * 2 = 36

a = -12

b) perpendicular lines have negative inverse slopes SO

- 3/2 ---> 2/3

2/3 = 18/a

2a/3 = 18

2a = 18 * 3 = 54

a = 54/2 = 27

what is the range and domian of y=(x-4)

Answers

The answer is 8 because 4 over 4 up for y

Convert 1.2 radians to an
angle in degrees​

Answers

Answer:

Below

Step-by-step explanation:

Let x be the measure in degrees

● x/180 = 1.2/Pi

Cross multiply the values

● x*Pi = 180×1.2

● x = 216/Pi

Take Pi = 3.14

● x = 68.78 wich is approximatively 69°

Julio is paid 1.3 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 42 hours and earned $548.13. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.

Answers

Step-by-step explanation:

Answer:

$12.10 / hour

Step-by-step explanation:

42 - 31 =

1.3(11)r + 31r = 548.13

14.3r + 31r = 548.13

45.3r = 548.13

r = 12.1 / hour

Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so she does not overlap any of the edges. How much paper did it take to cover the gift? cm2\text{cm}^2cm2start text, c, m, end text, squared

Answers

Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

Answer:

1014

Step-by-step explanation:

I took the test i know

A5cm x 11 cm rectangle sits inside a circle with radius of 12 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
5 cm
12 cm
11 cm
cm?
PLS HELP ME FOR 17 POINTS

Answers

Answer:

397.16 cm²

Step-by-step explanation:

Area of the circle = πr²

3.14 * 144 = 452.16

452.16 - (11 x 5 ) = area shaded region

452.16 - 55 = 397.16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000

299,000,000

Answers

Answer:

Step-by-step explanation:

I think you mean 2.99×10^8, not 2.99×108.

2.99×10⁸ meters per second = 299,000,000 meters per second

Use the rule "add 2" to create a sequence of 5 numbers starting with 8.

Answers

Answer:

8 10 12 14 16

Step-by-step explanation:

8+2=10, 10+2=12, 12+2=14, 14+2=16

When the numbers 0.04, 0.40, 0.043 are arranged in order, which is the middle number?

Pls be quick

Answers

Answer:

0.043

Step-by-step explanation:

arranging in ascending order

0.04,0.043,0.40

or they are 0.040,0.043,0.400

so middle term is 0.043

Given :

the numbers are  0.04, 0.40, 0.043

Arrange the given decimal numbers in ascending order

smallest number is 0.04

So the order of given decimal numbers are

0.04,  0.043 , 0.40

From this we can see that the middle number is 0.043

So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043

Learn more : brainly.com/question/21106706

Julie wants to make 800 g of a 15% alcohol solution by mixing a
20% solution and a 4% solution. How many grams of each kind
does she need?

Answers

Answer:

x =550

y=250

Step-by-step explanation:

.2x + .04y = 120

x + y = 800

What is 7.3482 rounded to 2, 3 and 4 significant figures?​

Answers

2 figures - 7.3

3 figures - 7.35

4 figures - 7.348

2 sig figs- 7.3
3 sig figs- 7.35
4 sig figs- 7.348

If BC = 15, BE = 6, DC = 12, and AD = 8,
then segment DE is parallel to segment
AB.

Answers

Do you have a picture? Your question isn’t making sense love
Solution: if BC = 15 - 6 = 9

Use the converse of triangle proportionality theorem

AD/DC = 8/12 = 2/3
BE/EC = 6/9 = 2/3

Answer: yes, AD/DC =BE/EC = 2/3, so DB||AB

In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001

Answers

D) in the question

1002, 3001

Answer:

a) 503 b) 307 c) 56789 D) 1002

Step-by-step explanation:

Numbering starts from the left hand side and are arranged in ascending order.

A) (530, 503)

503 < 530

503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.

B.) (370, 307)

370 > 307

307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.

C.) (98765, 56789)

98765 > 56789

56789 will appear on the leftside of 98765 when both number are illustrated on a number line.

D.) 1002 < 3001

1002 will appear on the leftside of 98765 when both number are illustrated on a number line.

what is an equivalent expression for 3a + 5 ?​

Answers

Answer:

Equivalent  expression:

6a + 10

or

9a + 15

Maria cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of fabric did she cut?

Answers

Answer:

2.5 Yards

Step-by-step explanation:

Multiply 5/8 by 4

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

O A. 708.01

Step-by-step explanation:

Volume of a cone = 3.14 r^2 h/3

Volume of a cone = 3.14 7^2 14/3

Volume of a cone = 3.14 (49) 14/3

Volume of a cone = 3.14 (686)/3

Volume of a cone = 2154/3

Volume of a cone = 718.01

What is the correct answer!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

Use the distributive property to write an expression that is equivalent to 1/2 (8y - x - 12).​

Answers

Answer:

4y - 0.5x - 6

Step-by-step explanation:

1/2 (8y - x - 12)

= (8y * [1/2]) - (x * [1/2]) - (12 * [1/2])

= (8y/2) - (x/2) - (12/2)

=  4y - 0.5x - 6

Tell me if I got it wrong! Hope this helps!

Answer:

4y+1/2x+6

Step-by-step explanation:

uh nvm someone already answered my bad

7 - 9 + (9 - 5)^2-4x 6/-6+8-3x10? Can y'all help me? I know I just asked but I'm really bad at math!!!!

Answers

Answer:

7 - 9 + (9 - 5)^2 - 4 (-6/6) + 8 - 3×10

-4

X
5x – 3y = -20
4x + 5y = -2

Answers

Answer:

x=-106/37

y=70/37

Step-by-step explanation:

I chose to set up the problem as a matrix to solve here.

(Another way to do this would be to isolate one variable in one of the equations, substitute it into the other equation, solve for that, and then plug it back in to get the final variable.)

My work is in the attachment. Lmk if you have any questions.

Answer:

[tex]\huge\boxed{\left\{\begin{array}{ccc}x=-\dfrac{106}{37}\\y=\dfrac{70}{37}\end{array}\right}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}5x-3y=-20&\text{multiply both sides by 5}\\4x+5y=-2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}25x-15y=-100\\12x+15y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad37x=-106\qquad\text{divide both sides by 37}\\.\qquad\boxed{x=-\dfrac{106}{37}}[/tex]

[tex]\text{Substitute it to the first equation}\\\\5\left(-\dfrac{106}{37}\right)-3y=-20\\\\-\dfrac{530}{37}-3y=-20\qquad\text{multiply both sides by (-37)}\\\\(-37\!\!\!\!\!\diagup)\left(-\dfrac{530}{37\!\!\!\!\!\diagup}\right)-(-37)(3y)=(-37)(-20)\\\\530+111y=740\qquad\text{subtract 530 from both sides}\\\\111y=210\qquad\text{divide both sides by 111}\\\\y=\dfrac{210}{111}\\\\y=\dfrac{210:3}{111:3}\\\\\boxed{y=\dfrac{70}{37}}[/tex]

Use the discriminant to determine the number of real solutions to the equation,
10n^2 = 10 - 8n

Answers

Answer:

2 real solutions

Step-by-step explanation:

Get all the terms to one side

10n^2 = 10 - 8n

10n^2 +8n -10 =0

ax^2 +bx+c =0

The discriminant is

b^2 -4ac

8^2 - 4(10)(-10)

64 +400

464

If the discriminant is greater than 0 we have 2 real solutions

If 3.7 inches of rain fall on Seattle during the first four days of December and the rain continues to fall at this pace for the rest of the month approximately how many feet of rain will fall during December

Answers

Answer:

28.675 inches

Step-by-step explanation:

If 3.7 inches of rain has been poured in the four days. Then the rate of rain fallen in one day = 3.7/4 .

For the the amount of rain poured in December.

Simply multiply the rate*days=rain amount poured.

So,

Amount Of Rain In December= (3.7/4)*31 = 28.675 inches.

It is approximately 29inches.

I hope that helps.

x^{2m+n} * x^{n-m} / x^{m+2n}

Answers

Answer:

=x

Step-by-step explanation:

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

[tex]x^{2m+n} * x^{n-m} / x^{m+2n}[/tex]

When bases are same for exponents in division, subtract exponents.

[tex]x^{2m+n} * x^{n-m-(m+2n)}[/tex]

[tex]x^{2m+n} * x^{n-m-m-2n}[/tex]

[tex]x^{2m+n} * x^{-n-2m}[/tex]

When bases are same for exponents in multiplication, add exponents.

[tex]x^{2m+n+-n-2m}[/tex]

[tex]x^{2m+0-2m}[/tex]

[tex]x^0[/tex]

Any base with power or exponent of 0 is 1.

[tex]x^{0}=1[/tex]

Which is greater than 4? (a) 5, (b) -5, ...

Answers

It must be 5 (a) because it’s 4

Answer:

(a) 5

Step-by-step explanation:

5 is geater than 4

4 is greater than -5

If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side

Answers

Answer:

7

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled. Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer. What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters? Choose 1 answer: Choose 1 answer: (Choice A) A 30-\dfrac{100}{1000}\cdot 12030− 1000 100 ​ ⋅12030, minus, start fraction, 100, divided by, 1000, end fraction, dot, 120 (Choice B) B 30\cdot 1000-100\cdot 12030⋅1000−100⋅12030, dot, 1000, minus, 100, dot, 120 (Choice C) C \dfrac{30}{1000}-100\cdot 120 1000 30 ​ −100⋅120start fraction, 30, divided by, 1000, end fraction, minus, 100, dot, 120 (Choice D) D 30-100\cdot 1000\cdot 12030−100⋅1000⋅120

Answers

Answer:

30-100/1000*120

Step-by-step explanation:

Source: Khan Academy

Answer:

30 - 100/1000 x 120

Step-by-step explanation:

How many pounds is 7 tons

Answers

Answer:

14000 pounds :)

Step-by-step explanation:

Answer:

14000 pounds

Step-by-step explanation:

Formula:

multiply the mass value by 2000

identify the terms of each expression 7 + 5 p + 4r + 6 s ​

Answers

13+5p+4r you add 7+6=13 then you bring down the rest

Simplify 7^ -5/6 x 7^-7/6

Answers

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

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