What should frankie consider before buying the car? check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs

If g(x) = 1/(3x²), the by the definition of the derivative, we have

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]

[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]

Step-by-step explanation:

the photo should explain

Answer:  33 is your answer my love.

Step-by-step explanation: Hope this helps.

Answer:

33 give the guy above me branliest

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

Applying the Angle Sum of Quadrilaterals,

Answer:

In the explanation

Step-by-step explanation:

AB = line segment

ABC = angle

AB = line segment

CD = intersecting line

AC = line segment

AB = line segment

EBC = angle

BC = line segment

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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Answer:

1. Blue = 8 votes

2. Green = 4 votes

3. Yellow = 6 votes

4. Red = 2 votes the first 2 votes one

5. Pink = 2 votes the second one that says 2 votes.

Step-by-step explanation:

okay I understand this.

You just use the colors from above and fill them in in order.

Answer:

1.blue has got 8 number of votes

2.yellow has got 4 number of votes

3.green has got 6 number of votes

4.red has got 2 number of votes

and the last one is written there

Explanation:

I hope it helps

I assume you mean the equation

√(2x) = x - 4

Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.

(√(2x))² = (x - 4)²

2x = x² - 8x + 16

x² - 10x + 16 = 0

(x - 8) (x - 2) = 0

x - 8 = 0   or   x - 2 = 0

x = 8   or   x = 2

If x = 2, then x ≥ 4 is false. The only solution is then x = 8.

Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

Answer:

73

Step-by-step explanation:

(7.7 * 2) + (9.6 * 6) = 74

Answer:

[tex]9 > x > - 4[/tex]

9 is greater than x and -4 is less than x

Answer:

- 4 < x < 9

Step-by-step explanation:

given 9 is greater than x then x is less than 9 and - 4 < x , so

- 4 < x < 9

Answer:

16

Step-by-step explanation:

[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]

So, the number is 16

Answer:

Step-by-step explanation:

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

The measure of the angle A is,

[tex]m\angle A=71^o[/tex]

The measure of the angle C in a semicircle is,

[tex]m\angle C=90^o[/tex]

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

Answer:

The proportion defined by the null hypothesis.

Step-by-step explanation:

the answer to that is -120

Step-by-step explanation:

-120+74=-46

Answer:

k = -120

Step-by-step explanation:

k + 74 = -46

Subtract 74 from both sides:

k + 74 = -46

    - 74  - 74

k = -120

Final answer: k = -120

Hope this helps!

Answer:

c

Step-by-step explanation:

got it right on edge

Answer:

a = 25 m²

b = 5 m

c = 7.94 m

d = 35.73 m²

Code:    H I A B

Step-by-step explanation:

Formulae

Pythagoras’ Theorem:    [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Area of a square = x²  (where x is the side length)

------------------------------------------------------------------------------------------------------

Assuming that all the quadrilaterals are squares.

Side length of blue square with area 16 m² = √16 = 4 m

Side length of yellow square with area 9 m² = √9 = 3 m

Use Pythagoras' Theorem to find the length of b:

[tex]\implies 4^2+3^2=b^2[/tex]

[tex]\implies b^2=25[/tex]

[tex]\implies b=\sqrt{25}[/tex]

[tex]\implies b=5\: \sf m[/tex]

Now we have found length b, we can find area a:

[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]

Side length of purple square with area 144 m² = √144 = 12 m

Side length of green square with area 81 m² = √81 = 9 m

Use Pythagoras' Theorem to find the length of c:

[tex]\implies 9^2+c^2=12^2[/tex]

[tex]\implies c^2=63[/tex]

[tex]\implies c=\sqrt{63}[/tex]

[tex]\implies c=3\sqrt{7}[/tex]

[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]

Now we have found length d, we can find area d:

[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]

Code:    H I A B

Find b

#a

Area

H

#b

Done already

#c

A

#d

B

Code is

The height from the ground at which the ladder touched the building is 12feet.

A right-angled triangle is a type of triangle that has three sides and one of its  three angles as 90°.

Analysis:

The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.

let x, be the distance from the foot of the building to the foot of the ladder.

x+7 = height of ladder from building to foot of  building.

length of ladder = 13 feet

using Pythagoras, we have

[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]

169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49

169 = 2[tex]x^{2}[/tex] + 14x + 49

2[tex]x^{2}[/tex] + 14x = 169-49

2[tex]x^{2}[/tex] + 14x  = 120

divide through by 2

[tex]x^{2}[/tex] + 7x - 60 = 0

[tex]x^{2}[/tex] +12x -5x - 60 = 0

(x+12) -5(x+12) = 0

(x+12)(x-5) = 0

x = -12 or 5

Since measurement cannot be negative, therefore x = 5

Height the ladder touches the building is x+7 = 5+7 = 12 feet

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Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps

One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.

To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.

Afternoon temperature = Morning temperature - Temperature drop

Afternoon temperature = 18 degrees - 20 degrees

To perform the subtraction, we have to handle negative numbers:

Afternoon temperature = 18 degrees - 20 degrees

Afternoon temperature = -2 degrees

So, the afternoon temperature in Bangor, Maine, was -2 degrees.

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Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

Money earned (after donation and sales) :

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

The loss percentage is 1%

A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.

A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.

Where:

The first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50

The linear function:  =620 - 50x.

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