What restrictions may be necessary to the domain and range of linear equations?

Answers

Answer 1

Answer:

There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.

Related Questions

Find the Pythagorean triplets whose one number is 24.​

Answers

Answer:

25, 24, 7

Step-by-step explanation:

Decide whether each statement is true or false.

You are less likely to roll a 3 than a 4 on a die.
True
False


(I'm not good with probability..)

Answers

Answer: False

Both have equal probability
Please mark brainliest

Write the equation of the line
a) Slope = -2
Y intercept=5
b) Slope = 0.5
Passes through (0,1)

Answers

A) y=-2x+5
B) y=0.5x+1

7- write the equation of the line that passes through points A(6,1) and B(9,4)
I

Answers

Answer:y=x-5

Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.

Find the cube root of 512​

Answers

Answer:

[tex]\sqrt[3]{512} = 8[/tex]

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^ {\frac{1}{n}}[/tex]

      [tex]\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8[/tex]

x^{2} -(3+\sqrt{3} )x +\sqrt{3} -2=0

Answers

Answer:

[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]

f(4) =
If g(x) = 2, x =
<

Answers

F(4)= -10
If g(x)= 2, x= 0

a=10^x, b=10^yanda^y^*b*x=100then2xy=?​

Answers

Answer:

Here is your answer

Step-by-step explanation:

xy = 1

Hope you like it : )

can someone help me please

Answers

Perimeter: 45ft
Area: 24cm^2

Hope this helped!! :) xxoo Have a nice day!

Answer:

8. B

9. B

Step-by-step explanation:

add all sides to get perimeter

multiply sections of the area to get area (length times width)

Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.

Answers

Answer:

25√3mm

Step-by-step explanation:

this might be the answer..

Answer:

[tex]25\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{10^2*\sqrt{3} }{4}[/tex]

The temperature rose by 15°C from morning till noon. If the temperature
was less than 50°C at noon, write and solve an inequality to show the
possible temperature in the morning (use t to represent the temperature
in the morning)

Please help meeee

Answers

Step-by-step explanation:

answer is in photo above

what is the value of the expression below?​

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C

A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?


PLEASE HELPPP

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = 2x + 5 ← equation of parallel line

The Equation of line is y = 2x + 5.

What is slope of a line?

The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.

Both the net change in the x-coordinate  is Δx and the net change in the y-coordinate are represented by Δy.

Given Equation

y = 2x + 3

and line passes through (-3, -1)

equation of line is given by,

y =mx + c

where m is slope,  given equation is parallel to graph the value of slope is equal for both

m = 2 from given equation

new equation is y = 2x + c

substitute values of x and y

-1 = 2(-3) + c

c = -1 + 6

c = 5

Equation of line is y = 2x + 5

Therefore the equation represents,

the line in slope-intercept form is y = 2x + 5

Learn more about slope of a line;

https://brainly.com/question/16180119

#SPJ2

Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle?

Answers

Answer:

$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Step-by-step explanation:

Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:

55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5

57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282

65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560

Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]

Answers

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

solve for x. round to the nearest tenth. If necessary​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply:                                       x = 7/sin(30°)Evaluate:                                                                                                           x = 14

Answer:

x = 14

Step-by-step explanation:

Given :-

θ, angle = 30°Hypotenuse = xopposite side = 7

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......​

Answers

Hey buddy I am here to help!

1. 8*5*2 = 40*2= 80cm2

3. 10*25*60 = 250*60 = 15000m2

2. 12*12*12 = 36cm2

4. 3*5*18 = 90*4 = 360m2

Hope my answer helps!

Plz mark me brainliest!

● Question 3. answer is wrong in last multiply so their answer is 1728m^3...

In this image their in question (1,2,3,4) answer...

I hope you understand...

Mark me as brainliest....

Thanks

The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?

Let x = the smaller number.

Let y = the larger number.

Which two equations represent the system for this word problem?

Equation 1:
Equation 2:

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

Which two equations represent the system for this word problem?

Equation 1:

✔ x + y = 10

Equation 2:

✔ y = 4x

Representa en lenguaje algebraico el siguiente enunciado: La mitad de un número aumentado en seis unidades

Answers

A: because I get it right

A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?

Answers

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5

TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).

What is the equation of the directrix?

x=−4
y=−4
x=4
y=4

Answers

it’s C, since it wasn’t going down we can assume it wasn’t a negative and it’s going up and the four is located where the X is (X,Y)

Is anyone free to help me? It's a picture .

Answers

Answer:

1. 8 units downwards and 2 units left

2.7 units right and 4 units upwards

3. 5 units right and 4 units downwards

Step-by-step explanation:

That how it goes

prove [tex](x+1)^{2}(x+2)=(x^3+3x+21x+1)[/tex] no files

Answers

Answer:

LHS ≠ RHS

Step-by-step explanation:

[tex]LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2[/tex]

Some plz help meeeeeeeeeeereee I really neeeeeeeeeddddddddd ittttttttttt

Answers

I’m pretty sure the answer is A

What's the distance between the two points (0,-2) and (0,-9)

Answers

7 is the distance between the two points

12-2²·2=?

Brainliest

Answers

Answer:

it would be 4

12-4×2=12-8=4

Step-by-step explanation:

hope it helps you

[tex]\longrightarrow{\green{ 4 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] \: 12 - {2}^{2} .2[/tex]

➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]

➺ [tex] \: 12 - 8[/tex]

➺ [tex] \: 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?

Answers

The amount would be 2,250.

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answers

Answer:

13 : 8

Step-by-step explanation:

Number of plain bagels sold = 8

Number of rye bagels sold = 13

Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8

Also written as

13/8

Or

13 to 8

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer: It is 13: 8.

Find the surface area and the volume of the figure
Round to the nearest tenth if needed.

Answers

Answer:

See below

Step-by-step explanation:

Surface area:

S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)

Volume:

V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .

Why is making a record of withdrawals and deposits in your checkbook register a good practice?

Answers

Answer:

it helps you balance your checkbook

Step-by-step explanation:

Balancing your checkbook means that you do a check in your account that shows how much money is available.

I hope it helps❤️

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