Can someone explain this? (This is algebra 1)

For this derivative, you could set

[tex]\boxed{u = x^2 - 4x}[/tex]

Then

[tex]y = \sin(x^2-4x) = \sin(u)[/tex]

so that

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]

and

[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]

Then the chain rule gives

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

3x +9 + 3x + 3x +8 = 3x + 3x + 4x + 6

9x + 17 = 10x + 6

x = 11

AB 42

BC 41

AC 33

PQ 33

QR 33

PR 50

Answer:

x = 11

Step-by-step explanation:

if the perimeters are equal then:

the perimeter of the first triangle : 3x + 9 + 3x + 3x + 8 = 9x + 17

the perimeter of the second triangle : 3x + 3x + 4x + 6 = 10x + 6 and

9x + 17 = 10x + 6 export like terms to the same side of the equation

17 - 6 = 10x - 9x

11 = x

we can find the lengths by replacing x with 11 in given expressions.

Answer:

Step-by-step explanation:

Open the parenthesis:

Answer:

Therefore, 15 / 32 of the pie is left in the fridge.

Answer:

y=3/4x-2

Step-by-step explanation:

Y-Intercept is -2 so it can't be the first option.

Then for the slope it goes up 3 and over 4. So the slope is 3/4.

So the equation is y=3/4x-2

Answer:

Quadrant ||

Step-by-step explanation:

Look at the png below it may help you.

Answer: i needed pointsss srry

Step-by-step explanation:

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

Let y represent the cups of flour and x represent the cups of sugar. Hence:

3.5 cups of flour for every 1.75 cups of sugar:

y ∝ x

y = kx

k is the constant of proportionality

3.5  = 1.75k

k = 2

y= 2x

If Kareem uses 3.5 cups of sugar, he will need:

y = 2x = 2(3.5) = 7

The constant of proportionality for the amount of flour to sugar in this recipe is 2.

If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.

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Answer:

10 feet

Step-by-step explanation:

Let the length and the age of the sea turtle be L inches and A years old respectively.

Since its length is directly proportional to its age,

L= kA, where k is an unknown constant.

Let's find the value of the constant k.

L= kA

When L= 3, A= 2,

3= k(2)

2k= 3

k= 3 ÷2

[tex]k = \frac{3}{2} [/tex]

Substitute the value of k back into the equation:

[tex]L = \frac{3}{2} A[/tex]

When A= 80,

[tex]L = \frac{3}{2} (80)[/tex]

L= 120

Length of sea turtle

= 120 inches

= (120 ÷12) feet

= 10 feet

Answer:

A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.

The equation that would be used to solve the function is (x+5)^2 = 17

Given the quadratic equation -x^2 + 10x -8 = 0

This can also be written as:

-x^2 + 10x -8  = 0

x^2 - 10x + 8 = 0

x^ 2- 10x  = -8

The coefficient of x is -10

Half of the coefficient of -10 = -10/2 = -5

Square the result = 5^2 = 25

Add 25 to both sides of the equation

x^2 - 10x + 25 = -8 + 25

x^2 - 10x + 25 = 17

(x+5)^2 = 17

Hence the equation that would be used to solve the function is (x+5)^2 = 17

Learn more on completing the square here; https://brainly.com/question/10449635

Answer:

$24.75

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 165 × 15/100

Discount = 165 x 0.15

You save = $24.75

Final Price = Original Price - Discount

Final Price = 165 - 24.75

Final Price = $140.25

Answer:

Step-by-step explanation:

If slope of two lines are equal, then they are parallel lines.

If product of the slope of two lines is (-1), then they are perpendicular lines.

C) y = x + 2

Slope m1 = 1

y = -x + 3

Slope m2 = -1

m1 * m2 = 1 * (-1) = -1

These are perpendicular lines.

D) y = 3x + 2

Slope = m1 = 3

y = 3x - 2

Slope = m2 = 3

Slopes are equal. So, they are parallel lines.

E)y= 3

This line is parallel to x -axis.

x = 4

This line is parallel to y-axis.

So, both lines are perpendicular to each other.

F) y = x + 8

slope m1  = 1

y = -x + 3

Slope = m2 = -1

M1 * m2 = 1 * (-1) = -1

So, These are perpendicular lines

Answer:

The orange line is the actual answer because it is moving at constant velocity

Step-by-step explanation:

Answer:

3 cups of milk are required for each cup of flour.

Answer:

3 cups of milk

Step-by-step explanation:

1 cup divided by a 1/2 cup is 2.

1 1/2 cups multiplied by 2 is 3 cups.

Answer:

wag na natin balikan si ex kalimutan na natin yun

Answer:

i think the answer is 17, but idontknow.

Step-by-step explanation:

:) sorry!!

Answer:

x=8

Step-by-step explanation:

1.5x = 12

Divide each side by 1.5

1.5x/1.5 = 12/1.5

x =8

x = 8

Step-by-step explanation:

[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]

Answer:

984 × 225 = 221400

Step-by-step explanation:

Answer:

3. -3/2

4. 3/2

5. 5/3

6. 7/3

7. -6/2 or -3

8. 7/3

Step-by-step explanation:

Rise over run. (∆Y/∆X)

Answer:

3. -3/2

4. 3/2

5. 5/3

6. 7/3

7. -6/2 or -3

8. 7/3

Step-by-step explanation:

count up then over sideway y/x

Answer:

to get you answer you would have to add 1 1/2 and 2 1/4, then your equation would be 60 ÷ 3 3/4 , then whatever your total is, multiply that by 40 and that would be your answer

The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies.

The amount of milk and flour will be

⇒ 1  1/2 + 2  1/4

⇒ 3/2 + 9/4

⇒ 15/4

Then the amount of milk and flour (x) that he needs to make 40 cookies will be

x / (15/4) = 40 / 60

x = 5/2 cups

The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

x=131°

Step-by-step explanation:

180°-49°=131°

<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.

Answer:

t=8

DE=8

KL=33    

AB=[tex]\frac{127}{13}[/tex]                  

Step-by-step explanation:

40=5t            ÷                  t=8

5x-12=3x-4            combine like terms        2x=8                   x=4

10x+3=3x+24         combine like terms        7x=21                 x=3

[tex]\frac{3}{2}x+4=\frac{1}{5}x+9[/tex]      combine like terms       13x=50                [tex]x=\frac{50}{13}[/tex]

Answer:

y = 4x + 4

y = rise/run + y-intercept

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

Answer:

 y=2x-3

Step-by-step explanation:

slope (m)= 2

The Slope intercept of the line passing through (4,5) is

y=mx+b

5 = 2(4) + b

5 = 8 + b

b = -3

The equation of the line passing through pt. (4,5) is  

 y= mx+b

  y=2x-3

Answer:

the answer is 3.14 when u solve it