what would be the values of f(f-1(17)) and f-1(f(2))? FAST HELP

recall your d = rt, distance = rate * time.

w = rate of the wind

225 = rate of the plane

so the plane flies 260 miles in say "t" hours, with the wind, now, the plane is not really going 225 mph fast, is really going "225 + w" fast because the wind is adding speed to it, likewise, when going against the wind, is not going 225 mph fast is going "225 - w" because the wind is eroding speed from it, and that was also covered in "t" hours

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \stackrel{downwind}{\textit{with the wind}}&260&225+w&t\\ \stackrel{\textit{upwind}}{\textit{against the wind}}&190&225-w&t \end{array}~\hfill \begin{cases} 260=(225+w)t\\\\ \cfrac{260}{225+w}=\boxed{t}\\\\ \cline{1-1}\\ 190=(225-w)t \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{substituting \underline{t} in the 2nd equation}}{190=(225-w)\left( \boxed{\cfrac{260}{225+w}} \right)}\implies \cfrac{190}{225-w}=\cfrac{260}{225+w} \\\\\\ 42750+190w=58500-260w\implies 190w=15750-260w \\\\\\ 450w=15750\implies w=\cfrac{15750}{450}\implies \blacktriangleright w=35 \blacktriangleleft[/tex]

Answer:

1. [tex]x=18, y=6\sqrt{10}[/tex]

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

[tex]CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18[/tex]

Consider right triangle BCD. By the Pythagorean theorem,

[tex]BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}[/tex]

2. Consider right triangleGM*. By the Pythagorean theorem,

[tex]G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144[/tex]

Use this property to find x:

[tex]GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108[/tex]

Consider right triangle GMCup. By the Pythagorean theorem,

[tex]y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180[/tex]

Answer:

Step-by-step explanation:

4x - 3y = 17

y-intercept is for x = 0.

x-intercept is for y = 0.

y-intercept:

put x = 0 to the equation

4(0) - 3y = 17

0 - 3y = 17

-3y = 17             divide both sides by (-3)

y = - 17/3

x-intercept:

put y = 0 to the equation

4x - 3(0) = 17

4x - 0 = 17

4x = 17            divide both sides by 4

x = 17/4

Answer: the correct answer is a

The correct equation is "3y - 2 = 4," and the value of "y" (the number of kites Emilio saw yesterday) is 2.

The correct answer is option A.

In this problem, we need to translate the given information into a mathematical equation and then solve for the variable "y," which represents the number of kites Emilio saw yesterday.

We are told that Emilio saw four kites at the park today, and this is two less than three times the number of kites he saw yesterday. In mathematical terms, this can be expressed as:

3y - 2 = 4

Here's the breakdown:

"3y" represents three times the number of kites he saw yesterday.

"3y - 2" represents two less than three times the number of kites he saw yesterday.

"4" represents the number of kites he saw today.

So, option A, "3y - 2 = 4," correctly represents the relationship described in the problem.

To solve for "y," you can isolate the variable by adding 2 to both sides of the equation:

3y - 2 + 2 = 4 + 2

3y = 6

Now, divide both sides by 3 to solve for "y":

(3y)/3 = 6/3

y = 2

In summary, the correct equation to represent the problem is option A, and the value of "y" is indeed 2, as Emilio saw two kites yesterday.

For more such information on: equation

https://brainly.com/question/29174899

#SPJ3

Answer:

Step-by-step explanation:

For this case we have by definition, if two lines are perpendicular then the product of their slopes is -1.

[tex]m_ {1} * m_ {2} = - 1[/tex]

We have the following equation:

[tex]28x-7y = 9[/tex]

Rewriting we have:

[tex]28x-9 = 7y\\y = \frac {28x-9} {7}\\y = 4x- \frac {9} {7}[/tex]

The slope of this line is 4.

We found [tex]m_ {2}:[/tex]

[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4} = - \frac {1} {4}[/tex]

The new line is of the form:

[tex]y = - \frac {1} {4} x + b[/tex]

We substitute the given point to find the cut point "b":

[tex]1 = - \frac {1} {4} (4) + b\\1 = -1 + b\\b = 2[/tex]

Finally, the equation is:

[tex]y = - \frac {1} {4} x + 2[/tex]

Answer:

[tex]y = - \frac {1} {4} x + 2[/tex]

Answer:

i think it is 60 because

Step-by-step explanation:

the angle 45 would make a perfect right angle ever two pedals and these look like they make a perfect 120

Answer:

The triangle is scalene Δ

Step-by-step explanation:

* Lets revise the types of the triangle according to its sides

- Equilateral triangle: its three sides are equal in lengths

- Isosceles triangle: two sides are equal in lengths

- Scalene triangle: its three sides have different lengths

- The length of a segment basses through two points (x1 , y1) and

 (x2 , y2) is √[(x2 - x1)² + (y2 - y1)²]

* Lets solve the problem

∵ abc is a triangle with vertices a (3 , -3) , b (1 , 4) , c (-1 , -1)

- To classify the triangle by its side find the lengths of the 3 sides

∵ a = (3 , -3) and b = (1 , 4)

∴ ab = √[(1 - 3)² + (4 - -3)²] = √[(-2)² + (7)²] = √[4 + 49] = √53

∵ b = (1 , 4) and c = (-1 , -1)

∴ bc = √[(-1 - 1)² + (-1 - 4)²] = √[(-2)² + (-5)²] = √[4 + 25] = √29

∵ c = (-1 , -1) , a = (3 , -3)

∴ ca = √[(3 - -1)² + (-3 - -1)²] = √[(4)² + (-2)²] = √[16 + 4] = √20

∵ The lengths of the three sides of the triangle are √53 , √29 , √20

∴ The lengths of the three sides are different

∴ The triangle is scalene Δ

For this case we observe that the three angles of the triangle are equal. Also, we have by definition:

A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or[tex]\frac {\pi} {3}[/tex].

Answer:

The three sides have the same length

ANSWER

The three sides have the same length

EXPLANATION

The given triangle has all angles equal to 60°

A triangle that has all angles equal is called an equilateral triangle.

Another property about an equilateral triangle is that, it has all sides equal.

Therefore,the three sides have the same length.

The third option is correct.

Answer:

Step-by-step explanation:

(-8.3x + 4) - (3.2x - 5)

= -8.3x + 4 - 3.2x - (-5)

= -8.3x + 4 - 3.2x + 5            combine like terms

= (-8.3x - 3.2x) + (4 + 5)

= -11.5x + 9

Answer:

7x + 5y

Step-by-step explanation:

6x + 6y + x - y = 7x + 5y

Answer:

The answer would be the last one, or 7x + 5y

Step-by-step explanation:

Distribute the 6: 6x+6y + x - y

Simplifying gives:

7x + 5y

Hope this helps!

Answer:

40 x⁸y⁸

Step-by-step explanation:

When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.

To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.

-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾

=40x⁸y⁸

A negative number multiplied by a negative= positive number

Answer:

product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

Xᵃ/Xᵇ =  X⁽ᵃ ⁻ ᵇ⁾

It is given that, -5x²y⁴ and -8x⁶y⁴

To find the product of  -5x²y⁴ and -8x⁶y⁴

( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴

 = 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾

 = 40 * x⁸ * y⁸

 = 40x⁸y⁸

Answer:

176

Step-by-step explanation:

Answer:

Overestimate

Step-by-step explanation:

We draw five rectangles from x = 1 to x = 6, so each rectangle has a width of 1:

(6 - 1) / 5 = 1

We're using right endpoints to determine the height of each rectangle.  The first rectangle is from x=1 to x=2, so the height of the rectangle is f(2) = 6.  So on and so forth for the other rectangles.

The result is this:

desmos.com/calculator/vrl67vpigt

As we can see, these rectangles have areas outside of the curve, so their total area will be greater than the area under the curve.  So this will be an overestimate.

This answer Has been deleted

Answer:

The answer is 7/3 or 2 1/3

Step-by-step explanation:

1) You change the ÷ into x  (so it will be 7/9 x 1/3)

2) You flip the 1/3 so it will be 3 ( 7/9 x 3)

3) There you have it the answer is 7/3

Answer:

It is C.

Step-by-step explanation:

The centre of the circle is at the midpoint of The diameter = (8+2)/2, (6+0)/2 = (5,3) so the left side of the equation is (x-5)^2+(Y-3)^2. Now we need to work out the radius:

The diameter = square root(8-2)^2+6^2) = square root of 72 = 6sqrt2.

So the radius = 3sqrt2 and r^2=18.

Answer:    [tex]\frac{2(x+4)}{3}[/tex]

Step-by-step explanation:

Given the following expression:

[tex]\frac{4x+16}{6}[/tex]

You can notice that the Greatest Common Factor (GCF) in the  denominator  is 2, then you can factor it out.

Now, observe that the Greatest Common Factor in the numerator is 4, so you can factor it out.

Therefore, you get

 [tex]=\frac{4(x+4)}{2(3)}[/tex]

And finally, since [tex]\frac{4}{2}=2[/tex], you get the expression simplified. This is:

  [tex]=\frac{2(x+4)}{3}[/tex]

Answer:

Answer:  

$6 *53 = $318  

Step-by-step explanation:

Answer: $318

Step-by-step explanation:

Given : A grocer takes delivery of beverages from your truck at $6 per case.

If you  unloaded 53 cases for the grocer today.

Then the amount of money the grocer owes you will be the product of 53 and 6 .

Thus,  the amount of money the grocer owes you= [tex]53\times6=\$318[/tex]

Hence, the  grocer owes you $318 .

Answer:

f(3)=2(3)^2+4

f(3)=2(9)+4

f(3)=18+4

f(3)=22

Step-by-step explanation:

In this scenario, x=3 so you plug it into the other side of the equation.

ANSWER

[tex]f(3) = 22[/tex]

EXPLANATION

The given given function is

[tex]f(x) = 2 {x}^{2} + 4[/tex]

To find f(3), we substitite x=3 into the function f(x).

This means that wherever we see x in

[tex]f(x) = 2 {x}^{2} + 4[/tex]

we replace it with 3 .

[tex] \implies \: f(3) = 2 ({3})^{2} + 4[/tex]

We evaluate the square to get:

[tex] \implies \: f(3) = 2 ({9}) + 4[/tex]

Perform the multiplication

[tex] \implies \: f(3) = 18 + 4[/tex]

Now add to get:

[tex] \implies \: f(3) = 2 2[/tex]

Step-by-step explanation:

all work is pictured and shown

Answer: A) The average price of the two items you are comparing.

Step-by-step explanation:

Because...

When a person goes to a store they look at a item and then compare prices. So for every person price is the important thing that you are comparing. It also depends on your income as well.  So choice A and C is almost the same.

Therefor, the correct answer would be A.

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer: -14, -14 ,-11, -42,

Step-by-step explanation:

1. g + h - 10 2. g - h - 4 3. h - g - 21

-7 + 3 -10. -7 -3 -4. 3 + 7 -21

-4 - 10. -10 - 4 10 - 21

-14. -14. - 11

4. gh 2

-7(3) 2

-21 (2)

-42

Answer:

Step-by-step explanation:

(x-3)(x-2)

Answer:

(x-3) (x-2)

Did the test on k-12

Answer:

I have provided two solutions both concluding the same thing.

There is no solution.

Simplest solution says this is a parabola opened up at vertex (-2,5) which means it never crosses the x-axis.  There is no solution because thee curve does not touch the x-axis.

Step-by-step explanation:

Harder solution (algebraic solution):

The vertex form a parabola is [tex]y=a(x-h)^2+k[/tex]

We are given the vertex (h,k) is (-2,5)

So we have [tex]y=a(x+2)^2+5[/tex]

Now we also know [tex]a>0[/tex] since the parabola opens up.

That is all we know about a.

Let's see what [tex]y=a(x+2)^2+5[/tex] is in standard form

[tex]y=a(x+2)(x+2)+5\\y=a(x^2+4x+4)+5\\y=ax^2+4ax+4a+5\\\\[/tex]

So we are asked to solve for the solution set of

[tex]0=ax^2+4ax+4a+5\\A=a\\B=4a\\C=4a+5\\\\[/tex]

Plug into quadratic formula

I'm going to write the quadratic formula with the capital letters to be less confusing:

[tex]x=\frac{-B \pm \sqrt{B^2-4AC}}{2A}\\x=\frac{-4a \pm \sqrt{16a^2-4(a)(4a+5)}}{2a}\\x=\frac{-4a \pm \sqrt{16a^2-16a^2-20a}}{2a}\\x=\frac{-4a \pm \sqrt{-20a}}{2a}\\x=\frac{-4a \pm \sqrt{4} \sqrt{-5a}}{2a}\\x=\frac{-4a \pm 2 \sqrt{-5a}}{2a}\\x=\frac{-4a}{2a} \pm \frac{\sqrt{-5a}}{a}\\[/tex]

This says [tex]a[/tex] has to be negative... The inside of the square root... So there was no real solution.\\

\\

Simpler solution (graph/visual)

You could have also drawn a parabola open up with vertex at (-2,5) and we should have seen that it was impossible it cross the x-axis.

Answer:

The answer is impossible so is Ф

The probability of drawing a blue card, replacing it, and then drawing a blue card is Option 3. 9/25

Number of blue cards = 3

Number of red cards =2

Total number of cards as given in the diagram = 2+ 3 = 5

The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The probability of drawing a blue card is 3/5 because there are 3 blue cards and 5 cards in total. Multiply 3/5 by 3/5 to get the probability of drawing a blue card twice in a row. Multiply the numerators to get 9 and multiply the denominators to get 25.

This gives you a final answer of 9/25.

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

P(A) = n(A)/n(S)

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

To learn more about the probability, refer

https://brainly.com/question/13604758

#SPJ2

Answer: A, Jessica's Earning's at the end of the week

Step-by-step explanation: If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica

The amount earned by Jessica and Monte are illustrations of a linear function.

The first term represents Jessica's total earnings.

Monte's earning is expressed as:

[tex]\mathbf{4y - 15}[/tex]

From the question, we understand that:

Jessica earns $4 per crate of banana

So, 4y represents Jessica's total earnings.

Hence, the first term represents Jessica's total earnings.

Read more about linear functions at:

https://brainly.com/question/21107621

Answer:

for the first question the answer is dc

Step-by-step explanation: