A bird leaves its nest and travels 14 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take? (In Hours Minutes and Seconds

Answer:

(y + 2)²(y + 4)

Step-by-step explanation:

Factor the denominators of both fractions

y² + 4y + 4 = (y + 2)²

y² + 6y + 8 = (y + 2)(y + 4)

The least common denominator is (y + 2)²(y + 4)

Answer:

Step-by-step explanation:

y²+4y+4=(y+2)² =(y+2)(y+2)

y²+6y+8 = (y+2)(y+4)

the least common denominator for these

two rational expressions is : (y+2)²(y+4)

Answer: 75%

Step-by-step explanation:

To get the answer we will divide the amount of teachers that bought lunch by the total amount of teachers

18/24 = 75%

Answer:

75

Step-by-step explanation:

if you put it in a fraction you will get 18 over 24 and to find a percent you divided by numerator by denominator so you divide 18 by 24 and get 0.75

Answer:

it's 11.3 and 11.4

Step-by-step explanation:

11.3 = 127.69

11.4 = 129.96

Answer:

4

Step-by-step explanation:

Recall that the equation for a straight line is y = mx + b, where m is the slope and b is the y-intercept.

we can see that the slope is negative (i.e graph goes from top left to bottom right).  hence the value for m must be negative.

By looking at the answer choices, only 2 and 4 have negative x-terms, hence we can ignore 1 and 3.

Also we notice that the graph intersects the y-axis at y = 2, hence the y-intercept must be 2.

Only Answer 4 satisfies both requirements and is the correct answer.

Hello There!

To find the quotient of [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{8}[/tex],

we need to multiply by the reciprocal meaning that the fraction

[tex]\frac{3}{4}[/tex] stays the same but we flip the numerator and

denominator for our second fraction so it will end up being

[tex]\frac{8}{1}[/tex] which is the same thing as 8 so the second choice

is your answer.

Answer:

[tex]b^1^2[/tex]

Step-by-step explanation:

First, multiply by exponent rule.

[tex](x^y)^z=x^y^z[/tex]

[tex]b^4^*^3[/tex]

Then, multiply by the numbers from left to right.

[tex]4*3=12[/tex]

[tex]b^1^2[/tex], is the correct answer.

Answer:

b^12

Step-by-step explanation:

When there is a power of a power, you multiply the powers

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:

{-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}

For this case we have that by definition, an equation of the second degree is given by:

[tex]ax ^ 2 + bx + c = 0[/tex]

We have the following equation:

[tex]0.3x ^ 2 + 5x-7 = 0[/tex]

Then, according to the definition above, we have to:

[tex]a = 0.3\\b = 5\\c = -7[/tex]

Thus, b equals 5.

Answer:

[tex]b = 5[/tex]

Option C

For this case we must simplify the given expression:

Rewriting we have:

[tex]\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =[/tex]

By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:

[tex]\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =[/tex]

We have to:

[tex]\sqrt [3] {27x ^ 3} = 3x[/tex]

Then, the expression is reduced to:

[tex]\frac {\sqrt [3] {5}} {3x}[/tex]

ANswer:

Option D

Answer:

its D jus trust

Step-by-step explanation:

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).

Answer:

B and C option is the answer to this question

Step-by-step explanation:

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:

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:

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

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 second option (9,11,8)

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: [tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

You need to remember the Negative exponent rule:

[tex]a^{-n}=\frac{1}{a^n}[/tex]

Then, having the equation [tex]9x^{-1} - 2 = 25[/tex], you can rewrite it in this form:

[tex]\frac{9}{x} - 2 = 25[/tex]

Now add 2 to both sides of the equation:

[tex]\frac{9}{x} - 2+2 = 25+2\\\\\frac{9}{x}=27[/tex]

Multiply both sides of the equation by "x":

[tex](x)(\frac{9}{x})=27(x)\\\\9=27x[/tex]

 And finally divide both sides of the equation by 27.

The value of "x" is:

[tex]x=\frac{9}{27}\\\\x=\frac{1}{3}[/tex]

Answer:

C on edg

Step-by-step explanation:

Answer:

5 a.m.

Step-by-step explanation:

From 11 p.m. to midnight is 1 hour.  Adding 5 hours to this result is equivalent to "eleven p.m plus six hours" and is 5 a.m.

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

Answer:

y = - 7

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 )

Given

y - 3 = - 2(x + 5) ← distribute right side

y - 3 = - 2x - 10 ( add 3 to both sides )

y = - 2x - 7 ← in slope- intercept form

with y- intercept c = - 7

y = - 7 is the y-intercept of the line.

A line's equation has the conventional form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.

Given

The equation of a line in slope- intercept form is

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

y - 3 = - 2(x + 5) ← distribute right side

y - 3 = - 2x - 10 ( add 3 to both sides )

y = - 2x - 7 ← in slope- intercept form

with y- intercept c = - 7

To know more about equation of line refer to :

https://brainly.com/question/11552995

#SPJ2

[tex]6 \frac{3}{4}[/tex] hours

First, find the time it takes to paint each section with this formula: [tex]\frac{\frac{1}{2}}{\frac{2}{3}}[/tex]

You can use keep, change, flip, to make this multiplication. [tex]\frac{1}{2} * \frac{3}{2}[/tex]

Multiply the numerators. [tex]1 * 3 = 3[/tex]

Multiply the denominators. [tex]2 * 2 = 4[/tex]

So, it takes [tex]\frac{3}{4}[/tex] hour to paint one section of fence.

Now, we just need to find how long it takes to paint 9 sections. [tex]9 * \frac{3}{4}[/tex]

Multiply. [tex]\frac{27}{4}[/tex]

Finally, simplify. [tex]6 \frac{3}{4}[/tex]

Answer:

y + 0.5 = 3(x - 2).

Step-by-step explanation:

We use the point-slope form of the equation which is y - y1 = m(x - x1).

Here m = 3 , x1 = 2 and y1 = -0.5, so the equation is:

y - (-0.5) = 3(x - 2)

y + 0.5 = 3(x - 2).

Answer:

∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).

Step-by-step explanation:

Given : Triangle ABC with angle  1, 2, 3.

To find : Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.

Solution : We have given that triangle ABC with angle  1, 2, 3.

Here, line DE and AC are parallel and BA is traversal line.

∠1 = ∠4 ( alternate interior angle)

∠3 = ∠5 ( alternate interior angle)

∠4 + ∠2+ ∠5 = 180  ( angle formed on line)

∠1 + ∠2 + ∠3 = 180.

Therefore, ∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).

The angles in a triangle add up to 180 degrees.

The text that completes the proof is: alternate interior angle

From the question, we can see that the missing statement is on the 4th line

Where:

[tex]\angle 1 \cong \angle 4[/tex] and [tex]\angle 3 \cong \angle 5[/tex]

From the figure of the triangle, we can see that:

Hence, the statement that completes the proof is: alternate interior angle

Read more about the proofs of angles in a triangle at:

https://brainly.com/question/20441035

Answer:

The above answer is incorrect.

Step-by-step explanation:

The answer would be Option D.

A clockwise rotation about the origin basically means turning the shape 90°, and moving it to the left (in this scenario.)

We see that the red triangle is in the first quadrant, and that the green polygon is in the second quadrant. If we rotate the red triangle about the origin clockwise, it would be perfectly in the missing portion of the green square, making is a perfect square.

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

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:

288°

Step-by-step explanation:

80% of a circle is

80% of 360 degree

.80 *360

288

Answer:

C. 288°

Step-by-step explanation:

80%  · 360°  (convert 80% to a decimal)

= 0.8  · 360° (then multiply 0.8 to 360°)

= 288°

Answer:

Determine if the equation has the form x = a, if it does then it has one solution.

Step-by-step explanation:

We are given the following equation for which Jeremy wants to determine the number of solutions without actually solving the equation.

The best method for this would be to determine if the equation has the form [tex]x=a[/tex] where [tex]x[/tex] represents the variable while [tex]a[/tex] represents the constant.

If the equation has this form, then it means it has one solution.

Answer:

C or

Determine whether the equation has the form x = a, and if it does, the equation has one solution.

Step-by-step explanation:

i just took the test