Find the slope of the line through each pair of points
(10, -14), (11,11)

Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:

In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:

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Answer:

2,5 I'm guessing

Step-by-step explanation:

because two up and five to the right even though its kinda blurry

Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

Thirty-eight thousand, four hundred and ninety-two

Simply write out the number as you would say it out loud!

Let architect s income be x

AtQ

[tex]\\ \sf\longmapsto x+2x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x=249[/tex]

[tex]\\ \sf\longmapsto x=83[/tex]

[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]\huge\blue{ChaEunWoo2009}[/tex]

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Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.

Estimated commison = $8250

Let Estimated sale price = P

3% × P = 8250

0.03p = 8250

p = 8250 / 3

p = $275000

Actual commission earned = $9210

Let Actual sale price = P

3% × P = 9210

0.03p = 9210

p = 9210 / 3

p = $307,000

Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.

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Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

At the null hypothesis, we test if the proportion is of 40%, that is:

[tex]H_0: p = 0.4[/tex]

At the alternative hypothesis, we test if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

In which:

[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

With n as the sample size.

In this problem:

[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]

The value of the test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

[tex]Z = \frac{1 - 0.4}{0.283}[/tex]

[tex]Z = 2.12[/tex]

The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.

The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

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Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47

Answer:

true

Step-by-step explanation:

please mark brainiest

Step-by-step explanation:

graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.

Answer:

5. yes It still has the same density because it is the same thing.

6. a. float   less than one

b. Float less than one

C. Sink   greater than one

7. 1652.4 This is because the density equation is mass/volume. We have the density and mass but no volume. do get it we need to re arrange the equation. mass x density = volume.

Step-by-step explanation:

Answer:

C or B

Step-by-step explanation:

because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C

Answer:

1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14

2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5

3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4

8n -2n=7+5

6n =12

n =2

this is the answer

Answer:

five ninths plus four sixths is sixty six fifty four

Answer:

−101430

Step-by-step explanation:

Pictomath lol

Answer: 15 stickers

Step-by-step explanation: 5*5=25         40-25=15

Answer:

Step-by-step explanation:

Use  the points (0, 5) and (6, 0).

The slope is:

Compare the absolute value of slopes:

The slope of the line A is shallower (or less steep, use the corresponding word from the drop down list) of slope of line B.

Step-by-step explanation:

[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]

Answer:

A. Cosine

Step-by-step explanation:

It is cosine because ADJ/HYP is Cosine in Soh Cah Toa.

The ratio adjacent/hypotenuse shows the Cosine function.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

We have,

To find the ratio equivalent to Adjacent / Hypotenuse.

We know that the ratio of an angle's perpendicular (opposite) side to its hypotenuse is known as its sine.

and, Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.

or Cosine ratio = Adjacent/ Hypotenuse

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35

(-7) • (-5)

= 7 • 5

= 7 + 7 + 7 + 7 + 7

= 14 + 7 + 7 + 7

= 21 + 7 + 7

= 28 + 7

= 35

[tex] [/tex]

Answer:

1< x <5

Step-by-step explanation:

1<3x−2<13

1+2<3x−2+2<13+2 (Add 2 to all parts)

3<3x<15

33<3x3<153 (Divide all parts by 3)

1< x <5

Answer:

(1,5)

Step-by-step explanation:

Answer:

36/12=3

12/4=3

Therefore, common ratio is 3

Tn = ar^(n-1)

T0=4*3^(0-1)

4*1/4

4/3

Answer:

First box is 7x + 21, because when you distribute, you are multiplying the term on the outside of the paranthesis with the term(s) on the inside of the paranthesis.

Second box is 21 + 7x, because the communitive property is basically the same except the terms may be flipped. (Nothing else is different, all terms and signs stay the same, and has the same product/answer.)

Step-by-step explanation:

Hope this makes sense.

Please tell me if I'm wrong :)

Answer:

wrong you for the points you bozzo

Answer:

26 5/6

Step-by-step explanation:

make improper fractions by multiplying whole number and denominator, then adding the numerator

(5*4+3)/4 * (4*3+2)/3

23/4 * 14/3

322/12

161/6

26 5/6

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

It is observed that point (18, 206) does not lie on the line. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

The equation is given below.

y = 12x

Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.

The equation is drawn below.

From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.

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