if y=3 sin (-4x), find dy/dx​

Answer:

See bolded below.

Step-by-step explanation:

As you said, you only need help with no. 2:

a) Check the attachments for the lines

b) The equations are, respectively:

y = -4x + 1 [intersects parabola at 1 point]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}[/tex]

[tex]x^2=0, x = 0[/tex]

[tex]y=-4\cdot \:0+1 = 1[/tex]

[tex]y=1,\:x=0[/tex]

The point of intersection would be (0, 1)

y = -4x + 3 [intersects parabola at 2 points]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}[/tex]

Subtract the 2 equations,

[tex]y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3[/tex]

[tex]\begin{pmatrix}x=\sqrt{2},\:&y=3-4\sqrt{2}\\ x=-\sqrt{2},\:&y=3+4\sqrt{2}\end{pmatrix}[/tex]

Therefore the points of intersection are (√2, 3-4√2) and (-√2, 3+4√2) respectively

And finally we have the equation y = - 4x. It doesn't intersect the parabola.

c) The y-intercepts of such graphs are all less than or equal to 0.

Answer:

angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees

Answer:

Step-by-step explanation:

Answer:

Hey the answer is = 24x

Step-by-step explanation:

An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.

HOPE THIS HELPS!

The given numerical expression is simplified to 24.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given numerical expression is (3+5)×(4-1).

Solve Parentheses first, that is

8×3

=24

Therefore, the given numerical expression is simplified to 24.

Learn more about the PEDMAS rule here:

https://brainly.com/question/24086845.

#SPJ2

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7  (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7  (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5  (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105  (Correct option)

Answer:

C

Step-by-step explanation:

Answer:

i think the answer is 174

Answer:

Insurance cost (last year)= £387.5

Step-by-step explanation:

Giving the following information:

Insurance cost= £465

Increase growth rate= 20% = 0.2

To calculate the cost of insurance last year, we need to use the following formula:

Insurance cost (last year)= insurance cost / (1 + insurance growth rate)

Insurance cost (last year)= 465 / (1 + 0.2)

Insurance cost (last year)= £387.5

The amount that Adele pay last year was:£387.5.

Using this formula

Amount paid= Insurance cost / (1 + Insurance growth rate percentage)

Where:

Insurance cost= £465

Increase growth rate percentage=20% or 0.20

Let plug in the formula

Amount paid= £465 / (1 + 0.20)

Amount paid= £465/1.20

Amount paid= £387.5

Inconclusion the amount that Adele pay last year was:£387.5.

Learn more about insurance here:https://brainly.com/question/25855858

Answer:

It's called the cross multiply rule. The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent.

Step-by-step explanation:

the answer is 26.88 i wish that helped :)

Answer:

1/6 inch per hour

Step-by-step explanation:

1/2 ÷3= 1/6

Answer:

Can u take a better picture?

Answer:

-36x+9

Step-by-step explanation:

so for this question they want you to simplify the expression and to do that you distribute -12 to what is in the parenthesis

-12x3x=-36x

-12x-3/4=9

so the answer is -36x+9

have a great day :D

Answer:

The correct answer is the 162xsquare

Answer:

r = -0.13475

Step-by-step explanation:

Here, we want to select a value for a weak negative correlation

When a correlation is week, its value is usually less than -0.5

In this case, we have our correct answer as r = -0.13475

Answer:

[tex]\angle EAB = 85[/tex]

Step-by-step explanation:

Given

[tex]\angle EBC = 148[/tex]

[tex]\angle ADC = 63[/tex]

See attachment for triangle

Required

Find EAB

[tex]\angle AEB = \angle ADC = 63[/tex]  --- corresponding angles

[tex]\angle ABE + \angle EBC = 180[/tex] --- angle on a straight line

So:

[tex]\angle ABE + 148 = 180[/tex]

This gives:

[tex]\angle ABE =- 148 + 180[/tex]

[tex]\angle ABE =32[/tex]

Considering: [tex]\triangle ABE[/tex]

[tex]\angle ABE +\angle AEB +\angle EAB = 180[/tex] --- angles ina triangle

So:

[tex]32 +63+\angle EAB = 180[/tex]

[tex]95+\angle EAB = 180[/tex]

Collect like terms

[tex]\angle EAB = 180-95[/tex]

[tex]\angle EAB = 85[/tex]

Answer:

x=2

Step-by-step explanation:

divide -5 to both sides to isolate the x. two negatives make a positive therefore x=2.

i hope this helps :)

Answer:

2

Step-by-step explanation:

-10 divided by -5 is 2. Therefore, x=2.

Answer:

$81.15

Step-by-step explanation:

Answer:

Let's call the number of boxes Maria started with:

There are 37 boxes

Step-by-step explanation:

Let's call the number of boxes Kayla started with:

Then we can write:

22

=

b

+

7

2

Where:

22

is the number of boxes Kayla has left.

(

b

+

7

)

is the number of boxes Kayla started with plus the

7

she bought

The division by

2

represents

1

2

of the total boxes Kayla had being destroyed by fire.

We can solve this by first multiplying each side of the equation by

2

to eliminate the fraction while keeping the equation balanced:

2

×

22

=

2

×

b

+

7

2

44

=

2

×

b

+

7

2

44

=

b

+

7

Now, subtract

7

from each side of the equation to solve for

b

while keeping the equation balanced:

44

−

7

=

b

+

7

−

7

37

=

b

+

0

37

=

b

b

=

37

Kayla started out with 37 boxes.

Answer:

8 ft

Step-by-step explanation:

Set up a proportion: 10/16=5/x

Solve for x: 80=10x

x=8

Answer:

look at the picture i sent............

Answer:

The solution is (-4,-1)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.

The lines intersect at x = -4 and y = -1

The solution is (-4,-1)

Answer:

60

Explanation:

the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:

(100 + 50 + 50 + 50 + 50) ÷ 5

= 300 ÷ 5

= 60

so, the average grade is 60.

i hope this helps! :D

Answer: 93 centimeters

Step-by-step explanation:  Its 93 cm because 2 metres is equivalent 200 cm, so 200-107= 93.

supplementary angles = 180°

A : B

17 : 1

170 : 10

Answer:

huh?

Step-by-step explanation:

Is this a question or what??