What is the y-intercept of the line in the picture

Given:

The equation is

[tex]y=5x^3-6x^2-4x+8[/tex]

To find:

The coordinates of the turning point.

Solution:

We have,

[tex]y=5x^3-6x^2-4x+8[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=5(3x^2)-6(2x)-4(1)+(0)[/tex]

[tex]\dfrac{dy}{dx}=15x^2-12x-4[/tex]

For the turning points [tex]\dfrac{dy}{dx}=0[/tex].

[tex]15x^2-12x-4=0[/tex]

Using quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(15)(-4)}}{2(15)}[/tex]

[tex]x=\dfrac{12\pm \sqrt{144+240}}{30}[/tex]

[tex]x=\dfrac{12\pm \sqrt{384}}{30}[/tex]

Now,

[tex]x=\dfrac{12+\sqrt{384}}{30}\text{ and }x=\dfrac{12-\sqrt{384}}{30}[/tex]

[tex]x\approx 1.053\text{ and }x\approx-0.253[/tex]

Putting x=1.053 in the given equation, we get

[tex]y=5(1.053)^3-6(1.053)^2-4(1.053)+8[/tex]

[tex]y\approx 2.973[/tex]

Putting x=−0.253 in the given equation, we get

[tex]y=5(-0.253)^3-6(-0.253)^2-4(-0.253)+8[/tex]

[tex]y\approx 8.547[/tex]

Therefore, the turning points are (1.053,2.973) and (-0.253, 8.547).

Answer:

1-50

Step-by-step explanation:

Answer:

only x+1 , x+3 COULD represent consecutive even integers

Step-by-step explanation:

only x+1 , x+3 COULD represent consecutive even integers

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

Answer:

x = -3

Step-by-step explanation:

10(x-5) = -80

10x - 50 = -80

10x -50 + 50 = -80 + 50

10x = -30

10x ÷ 10 = -30 ÷ 10

x = -3

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now ,  equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) -  Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

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Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

please Mark me as brainlist

The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

Learn more about triangles here:

https://brainly.com/question/25950519

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Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

Answer:

A - 29

Step-by-step explanation:

5x + 30 = 175

5x +30 -30 = 175 - 30

5x = 145

5x ÷ 5 = 145 ÷ 5

X = 29

Answer:

34+12x=100 12x=66 x=66/12=11/2 answer:11/2

Step-by-step explanation:

Answer:

[tex]12n+34>100[/tex]

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.  

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: [tex]12n+34[/tex]

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.

Step-by-step explanation/Answer:

The value for h(3) is 1.

Coordinate (3,1)

The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.

So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:

Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.

Answer:

option c

Step-by-step explanation:

edge 2022

Answer:

79 haircuts and $474

Step-by-step explanation:

The computation is shown below:

Given that

she would have to pay $474 per month

And $6 for every haircut

So, the number of haircuts would be

= $474 ÷ $6

= 79 haircuts

The amount that she have to pay is $474

Answer:

Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one

Step-by-step explanation:

Answer:

Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.

B

Step-by-step explanation:

Answer:

-x²-8x+6

Step-by-step explanation:

Given the polynomial expression

2x²+7x+ 6 and 3x² – X

Taking their difference

2x²+7x+ 6  - (3x² – X)

2x²-3x²+7x+x+6

-x²-8x+6

Hence the required difference is -x²-8x+6

Answer:

-x²+8x+6

Step-by-step explanation:

Ape-x

Answer:

[tex]y=-\frac{1}{5}x+\frac{6}{5}[/tex]

Step-by-step explanation:

Let's solve for x.

[tex]x+5y=6[/tex]

Step 1: Add -5y to both sides.

[tex]x+5y+-5y=6+-5y[/tex]

[tex]x=-5y+6[/tex]

Answer:

[tex]x=-5y+6[/tex]

Let's solve for y.

[tex]x+5y=6[/tex]

Step 1: Add -x to both sides.

[tex]x+5y+-x=6+-x[/tex]

[tex]5y=-x+6[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5y}{5}=\frac{-x+6}{5}[/tex]

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

8, 15, 17

Step-by-step explanation:

The 2nd option. You know this by using this math formula: a^2 + b^2 = c^2. That is the formula to find a right triangle. So if you square 8 and 15 you get 64 and 225, and if you add them together you get 289, which is 17^2. Hope this helps! :)

Answer:

4

Step-by-step explanation:

Given :

10 grams of 15% sugar syrup;

25 grams of 10% sugar syrup

Therefore,

(10grams * (15/100)) + (25 grams * (10/100))

(10 * 0.15) + (25 * 0.1)

1.5 + 2.5

= 4 grams

Answer:

2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD

Answer:

A. False

B. True

C. False

D. False

E. True

Step-by-step explanation:

A. The diameter would be 6 inches.

B. Circumference = Diameter × 2

C. Area = Pi * Radius^2, NOT Pi^2.

D. Same as C.

E. Area = 3.14 × 1.5 × 1.5 = 7.065

Step-by-step explanation:

[tex] {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft[/tex]

6.71 is answer ok plz MARK me as BRAINLIST

1. a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25

I also post a picture on how I got each answer.

Hope this helped you out

Answer:

a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25

Step-by-step explanation:

Answer:

367meters

Step-by-step explanation:

220.2 = 0.6 * h

220.2/0.6 = 0.6 * h / 0.6

367 = h

367 meters

Answer:

vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta  [tex]= 22.95[/tex]

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = [tex]540[/tex]

vp = 486.22 j + 205.9 j

Theta

[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]

Answer:

10¢

Step-by-step explanation:

To find how much an ounce cost, dive 2.35 by 24.

[tex]\frac{2.35}{24} = 0.097\\[/tex]

Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.

Answer:

When multiplying negative numbers, just remember 2 things. 1: 2 negative values will always give a positive value. 2: If you only have 1 negative value, your answer will also be negative. Just remember these rules and the rest is simple multiplication.

Answer:

Hi there! Your answer is down below!

Step-by-step explanation:

The rule of how to multiply negatives is simple: For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product.

Have a nice day!

Answer:

a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].

Step-by-step explanation:

a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].

b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].

c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].

d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].

e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].

f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].

Answer: .B.

Step-by-step explanation