What is the y-intercept of the function f(x)=2/9x+1/3

Answer:

One point greater than the last grade

Step-by-step explanation:

1. First off, N is the variable, so that means it can be any number, and when it uses the word greater, it means to ADD another number, which means one point greater.

Hello There!

n+1 could represent one point greater than the last test grade.

In this case, n could be the last grade so if we put this in words, the last test grade + 1 point so 1 would represent adding from the previous test.

Answer:

independent equations

Choice C is correct

Step-by-step explanation:

The system of linear equations that contains the equations;

Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;

The point (0,2)

If a consistent system of equations has exactly one solution, it is said to be independent.

Final answer:

The correct term describing a set of equations where each equation represents a different line that intersects at only one point is 'independent equations'.

Explanation:

The point (0,2) is mentioned as the only solution to the system of linear equations with equations y = 1/2x + 2 and y = -3x + 2. Since both equations have only one point of intersection, this means that the graphs of the two equations are two different lines that intersect at exactly one point. This means the system is consistent and the equations are independent, as they form two different lines.

Therefore, the term that describes a set of equations where each equation represents a straight line and they intersect at exactly one point is independent equations.

Answer:

1386 ft^3.

Step-by-step explanation:

Volume = width * length * height

= 9 * 11 * 14

= 1386 ft^3.

Answer:

Number of cakes decorated = 1.4 in a minute

Step-by-step explanation:

A baker decorates 42 cupcakes in 30 minutes. If she decorates cupcakes at the constant rate then we have to find the number of cakes the baker can decorate in 1 minute.

We should always use the unitary method to calculate the outcome.

∵ A baker can decorate in 30 minutes = 42 cakes

∴ baker can decorate in 1 minute = [tex]\frac{42}{30}=1.4[/tex] cupcakes.

Therefore, 1.4 cakes per minute will be the answer.

Answer:

(f - g)(x) = (3x + 1) - (x2 - 6) = 3x + 1 - x2 + 6 = -x2 + 3x + 7

i hope this helps.

For this case we have the following functions:

[tex]f (x) = 3x + 1\\g (x) = x ^ 2-6[/tex]

We must find[tex](f-g) (x).[/tex]

By definition we have to:

[tex](f-g) (x) = f (x) -g (x)[/tex]

So:

[tex](f-g) (x) = 3x + 1- (x ^ 2-6)\\(f-g) (x) = 3x + 1-x ^ 2 + 6\\(f-g) (x) = - x ^ 2 + 3x + 6 + 1\\(f-g) (x) = - x ^ 2 + 3x + 7[/tex]

Answer:

[tex](f-g) (x) = - x ^ 2 + 3x + 7[/tex]

Answer:

x=-1

Step-by-step explanation:

Add by 1 from both sides of equation.

9x-1+1=-11+1

Simplify.

-11+1=-10

9x=-10

Divide by 9 from both sides of equation.

9x/9=-10/9

Simplify, to find the answer.

x=-10/9

x=-1 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

x = -1.11111111111111(repeating)

Step-by-step explanation:

9x - 1 = -11

Add 1 to each side

9x - 1+1 = -11+1

9x = -10

Divide each side by 9

9x/9 = -10/9

x = -10/9

x = -1.11111111111111(repeating)

Answer:

3

Step-by-step explanation:

The Fundamental Theorem of Algebra states that a polynomial of degree n has n zeros. there may be complex zeros

4x³ - x² + 1 ← is a polynomial of degree 3, thus has 3 zeros

Answer:

D

Step-by-step explanation:

The Line goes from 0 to -4 and then -(-1) makes +1 so -4 goes to -3

Answer:

D. I did an pre-exam with this question and got it right

Answer:

C. 3

Step-by-step explanation:

Given expression is:

[tex]({3^{\frac{1}{7}})^7[/tex]

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

[tex]=3^{(7*\frac{1}{7} )}[/tex]

The 7's will be cancelled out and remaining power will be 1

[tex]=3^1\\=3[/tex]

Hence, option C is correct ..

Answer:

The correct answer is option C

3

Step-by-step explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

(x¹/ᵃ)ᵇ = xᵃ/ᵇ

To find the correct answer

It is given that, (3¹/⁷)⁷

By using above identities we can write,

(3¹/⁷)⁷ = 3⁽¹/⁷ *⁷⁾

= 3¹

 = 3

Therefore the simplified form of  (3¹/⁷)⁷ = 3

The correct answer is option C

(3¹/⁷)⁷ = 3

Answer:

x=21

Step-by-step explanation:

x-7=14

add  7 to both sides

x=21

The expression x - 7 for x = 14 is equal to 7.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To evaluate x - 7 for x = 14,

We substitute 14 for x and simplify:

x - 7 = 14 - 7 = 7

Therefore,

The expression x - 7 for x = 14 is equal to 7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

y = 6x - 4

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 2)

m = [tex]\frac{2+4}{1-0}[/tex] = 6

note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 6x - 4 ← in slope- intercept form

For this case we must find the inverse of the following function:

[tex]f (x) = 4x + 7[/tex]

For it:

Replace f (x) with y:

[tex]y = 4x + 7[/tex]

We exchange the variables:

[tex]x = 4y + 7[/tex]

We solve for y:

We subtract 7 on both sides of the equation:

[tex]x-7 = 4y[/tex]

We divide between 4 on both sides of the equation:

[tex]y = \frac {x} {4} - \frac {7} {4}[/tex]

Finally, we change y by[tex]f ^ {- 1} (x)[/tex]:

[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]

ANswer:

[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]

the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).

The student asks which of the provided options is the inverse of the function f(x) = 4x + 7. To find the inverse function, we usually swap x and y and then solve for y. The steps to find the inverse are:

Therefore, the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7[/tex]

Answer: y= x + 7

Step-by-step explanation:

boom

Answer:

√52

Step-by-step explanation:

D=√(3+3)²+(1-5)²

=√36+16

=√52

Answer:

52

Step-by-step explanation:

Answer:

B and C option is the answer to this question

Step-by-step explanation:

Answer:

The angle made by line with positive x axis is more than 90°

Step-by-step explanation:

A line is represented in slope intercept form as

y=mx+c

Where m is called the slope of the line and c is called the y intercept .

Here by slope we means the tangent of the angle , the line makes with the positive x axis .

Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative

or

tan [tex]\theta[/tex] = negative

[tex]\theta[/tex] > 90

that means our line makes an obtuse angle that is more than 90° with the positive x axis.

Answer:

the line slants up

Step-by-step explanation:

Answer:

I think this is right  483/100000

Sorry if i'm wrong

Answer:

it's 11.3 and 11.4

Step-by-step explanation:

11.3 = 127.69

11.4 = 129.96

Answer:

Step-by-step explanation:

[tex]s(x)=2-x^2,\ t(x)=3x\\\\(s\circ t)(x)=s\bigg(t(x)\bigg)-\text{exchange x to t(x) = 3x:}\\\\(s\circ t)(x)=2-(3x)^2=2-3^2x^2=2-9x^2\\\\(s\circ t)(-7)-\text{put x = -7 to the equation:}\\\\(s\circ t)(-7)=2-9(-7)^2=2-9(49)=2-441=-439[/tex]

Answer:

-439

Step-by-step explanation:

Got it right on edge

Answer:

both answers are inside

Step-by-step explanation:

70 is greater then 23 which explains why it's hotter. Absolute value is the distance from a number to 0. being 70 slots away from 0 is greater than 23 slots.

Answer:

B

Step-by-step explanation:

Original volume = pi * r^2 * h

New r = 2*r

New h = 3*h

New Volume = pi * (2r)^2 *3*h

New Volume = pi * 4r^2 * 3 *h

New Volume = 4*3 * pi * r^2 + h

Conclusion

The New Volume = 12* the original volume

Answer:

7x^2+5x

Step-by-step explanation:

Given

Polynomial 1: 9x^2+8x

Polynomial 2: 2x^2+3x

We have to find subtraction of both

So,

9x^2+8x - (2x^2+3x)

First of all the brackets will be eliminated by multilying the minus sign

9x^2+8x-2x^2-3x

The terms with same power of variable will be written together

9x^2-2x^2+8x-3x

=7x^2+5x ..

Answer:

7x^2 + 5x.

Step-by-step explanation:

I just took the test and got a 100%. :)

Answer:

{-3,1,2,5}

Step-by-step explanation:

The domain is the input values

(-3,1,5,2,5)

We only list the 5 one time

{-3,1,2,5}

Answer:

8x-8

Step-by-step explanation:

Since you are adding the two functions: f(x)+g(x), substitute what they equal into this expression:

5x-6+3x-2

Combine like terms:

5x+3x-6-2

Simplifying gives:

8x-8

Hope this helps!

Answer:

The third option, or 9, is the answer.

Step-by-step explanation:

The length of the apothem can be found using the pythagorean theorem. Since the length of each side of the hexagon is 10, the base of the triangle is 5, since 10/2=5. Plugging these two values into the pythagorean equation leaves 25+b^2=100.

B^2 = 75, so the length of the apothem is sqrt(75)

this is approximately 8.66, so the answer is 9.

The length of the apothem is 9 inch.

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Using the pythagoras theorem.

As, the length of each side of the hexagon is 10.

so, the base of the triangle is 10/2=5.

Now using two values we get

25+b²=100.

B² = 75

Hence, so the length of the apothem is √75 = 8.66 = 9 (approx)

Learn more about Apothem here:

https://brainly.com/question/14963674

#SPJ2

Answer:

the second option (9,11,8)

Step-by-step explanation:

Your answer would be 48.

Just multiply.

2 x 8 = 16

16 x 3 = 48

Hope helps!-Aparri

Answer:

The probability of drawing three queens is 1/425

Step-by-step explanation:

* lets talk about the deck cards

- The deck cards has 52 cards

- It has four symbols (heart , diamond , clubs , spades)

- Each symbol has 16 cards (from 1 to 10 and king , queen , princess)

* Lets solve the problem

- We will drawing three cards

- The cards are not replaced

- That means the total of the card will reduce by 1 after each drawing

- The cards will drawing are queens

- The first card drawn will be a queen

∵ The first card drawn is queen

∴ The number of cards for the second drawn is 52 - 1 = 51

∵ There are 4 queens in the deck cards we took one for the first choice

∴ The number of queen for the second choice is 4 - 1 = 3

∴ The probability of second choice is 3/51

- Now there are 2 queens and 50 cards after the second choice

∴ The number of the queen is 3 - 1 = 2

∴ The number of the deck cards is 51 - 1 = 50

∴ The probability of third choice is 2/50

- The probability of the three cards is the product of the two fractions

∴ The probability of drawing three queens = 3/51 × 2/50 = 6/2550

- Simplify the fraction

* The probability of drawing three queens = 1/425

8p = -96

Because that Moderator want me to explain this, so,

devid by 8 from both side:

8p / 8 = -96 / 8

p = -12

And that is the answer:

P = -12

Answer:

"the original amount of the loan"

Step-by-step explanation:

x value would be the time in months and y value would be the loan amount that is left.

The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.

That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.

The correct answer is third option -- "the original amount of the loan".

Answer:

The correct option is C.

Step-by-step explanation:

It is given that a scatter plot is made to model the amount of money left to pay on a car loan.

From the given table we can conclude that the number or months represented by variable x and the amount of money owed is represented by variable y.

At y-intercept the value of x is 0. It means the y-intercept represents the amount of money owed when the number of months is 0.

In other words, the y-intercept of the model represents the original amount of loan.

Therefore the correct option is C.