True or false?

The image is below!

Answer:

y=2/3x+1

Step-by-step explanation:

m= (slope)

b= (y-intercept

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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Answer: When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Step-by-step explanation: im bad at explaining XD

Answer:

Multiply!

Step-by-step explanation:

When going by the metric system you multiply because, dividing would make you go smaller!

Have a great afternoon! :D

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

\(\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}\)

Therefore, we have;

\(\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}\)

\(\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}\)

\(sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi\)

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

Answer:

It Is The 3rd Choice, Y = -1/4( 4x - 8)

Step-by-step explanation:

This Is Becuase -1/4 times 4x is -1x which is negative x. Then -1/4 times -8 is 2.

Do not listen to the answer below it is wrong.

Answer:

C

Step-by-step explanation:

I got it right on edge

Answer:

Hi there!!

Your answer is:

f= -44

Step-by-step explanation:

5(f+4) = 4(f-6)

5f +20 = 4f -24

-4f

f +20= -24

-20

f= -44

Answer:

$40

Step-by-step explanation:

2 1/2 times the week

8 x 2.5 = 20

12 x 2.5 = 30

40 x 2.5 = 100

Answer:

40$

Step-by-step explanation:

because 30.00 and 20.00 equal 50$ and you would subtract the quations and get 40$

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

4

Step-by-step explanation:

The length between a and b is 8.

8 divided by 2 is 4.

Answer:

4

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

5x-2y=24

5x=24+2y____equ 1

2x+y=6

Y=6-2x______equ 2

Now substitute the value of y in equation 1

5x=24+2y

5x=24+2(6-2x)

5x=24+12-4x

5x+4x=36

X=36/9

X=4

Now, put the value of x in equation 2

Y=6-2x

Y=6-2*4

Y= -2

(4,-2)

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

c = 0.25m + 50

Step-by-step explanation:

Let c = cost; let m = number of minutes.

c = 0.25m + 50

Answer:

75/100 × 48= 36

48-36= 12

Answer:

W = 56.25

Step-by-step explanation:

Is is equivilent to equals.

Of is equivilent to multiplication.

18 = 0.32 x w

0.32 x W = 0.32w

18 ÷ 0.32 = 56.25

To check it,

56.25 x 0.32 = 18!!

Answer:

x = -3³⁄₂₀

x = -3¹⁄₃₀

x = ¹²⁄₂₅

Step-by-step explanation:

-²²⁄₅ = x - ⁵⁄₄

+⁵⁄₄

x = -⁶³⁄₂₀

x = -3³⁄₂₀

x - (-2⅚) = -⅕

x - ( -¹⁷⁄₆) = -⅕

x + ¹⁷⁄₆ = -⅕

-¹⁷⁄₆

x = -⅕ - ¹⁷⁄₆

x = -⁹¹⁄₃₀

x = -3¹⁄₃₀

Answer:

If simplifed, it'll be -v

Step-by-step explanation:

Answer:

It is a function.

Step-by-step explanation:  Each input has only one output.

Step-by-step explanathat one is true

Answer:

√11 is the irrational number

Explanation:

Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

Step-by-step explanation:

Given

Selling price of the cake is:

Selling price of each piece:

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Answer:

The equation is

y=0.5x+2

Answer:

Rs 36 600

Step-by-step explanation:

PRT/100

P is the principle

R is the rate of interest

T is the time taken

30 000 * 2 * 11

=660 000/100

= 6600 is the amount of interest charged after the 2 years

now to find the total amount received after the 2 years

= 6600 + 30 000 =36600

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

The value of the angles are;

13. X = 19. 47 degrees

14. X = 47. 93 degrees

15. X= 55. 15 degrees

Using the different trigonometric identities and their ratios, we have;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the image shown, we have;

13.  sin X = 6/18

Divide the values, we have

sin X = 0. 3333

Find the sine inverse

X = 19. 47 degrees

14. tan X = 41/37

divide the values

tan X = 1. 10

Find the inverse

X = 47. 93 degrees

15. cos X = 8/14

cos X = 0. 5714

find the inverse

X= 55. 15 degrees

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Answer:

y=7/2

Step-by-step explanation: