PLZ HELP

Twice a number decreased by seven is equal to 43

goblinko [34]

2x-7=43

2x=50

x=25

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

4 0

4 years ago

Read 2 more answers

Consider the curve of the form y(t) = ksin(bt2) . (a) Given that the first critical point of y(t) for positive t occurs at t = 1

mafiozo [28]

Answer:

(a). y'(1)=0 and y'(2) = 3

(b). $y'(t)=kb2t\cos(bt^2)$

(c). $b = \frac{\pi}{2} \text{ and}\ k = \frac{3}{2\pi}$

Step-by-step explanation:

(a). Let the curve is,

$y(t)=k \sin (bt^2)$

So the stationary point or the critical point of the differential function of a single real variable , f(x) is the value $x_{0}$ which lies in the domain of f where the derivative is 0.

Therefore, y'(1)=0

Also given that the derivative of the function y(t) is 3 at t = 2.

Therefore, y'(2) = 3.

(b).

Given function, $y(t)=k \sin (bt^2)$

Differentiating the above equation with respect to x, we get

$y'(t)=\frac{d}{dt}[k \sin (bt^2)]\\ y'(t)=k\frac{d}{dt}[\sin (bt^2)]$

Applying chain rule,

$y'(t)=k \cos (bt^2)(\frac{d}{dt}[bt^2])\\ y'(t)=k\cos(bt^2)(b2t)\\ y'(t)= kb2t\cos(bt^2)$

(c).

Finding the exact values of k and b.

As per the above parts in (a) and (b), the initial conditions are

y'(1) = 0 and y'(2) = 3

And the equations were

$y(t)=k \sin (bt^2)$

$y'(t)=kb2t\cos (bt^2)$

Now putting the initial conditions in the equation y'(1)=0

$kb2(1)\cos(b(1)^2)=0$

2kbcos(b) = 0

cos b = 0 (Since, k and b cannot be zero)

$b=\frac{\pi}{2}$

And

y'(2) = 3

$\therefore kb2(2)\cos [b(2)^2]=3$

$4kb\cos (4b)=3$

$4k(\frac{\pi}{2})\cos(\frac{4 \pi}{2})=3$

$2k\pi\cos 2 \pi=3$

$2k\pi(1) = 3$$

$k=\frac{3}{2\pi}$

$\therefore b = \frac{\pi}{2} \text{ and}\ k = \frac{3}{2\pi}$

7 0

4 years ago

David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David

inna [77]

7.75+4.50
Then this equals 12.25 ; You gone want to divide this

519.25 \ 12.25 you get $42.38 or $42.39 if you round.

Or 4.50 x 60 is $270
7.75 x 30 is $232 which is closet to $519.25 which will give u $502.50

3 0

3 years ago

Find the areas of the circle, if diameter=16cm

Reika [66]

Hey there!

Formula for the area of a circle: $A = \pi r^2$

Formula for the radius of a circle: $r = d/2\\$

First, let's divide the diameter by 2 in order to find the radius.

16/2 = 8

Next, we'll plug our values into the formula (found above).

A = pi x 8^2

A = pi x 64

A = 64pi^2 or A = 201.1cm^2

Hope this helps!! :)

4 0

3 years ago

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using where x is the number of

CaHeK987 [17]

Answer:

The number of skateboard company sell during the month of August = 55

Step-by-step explanation:

We have given,

Profit function for Bob, P = x²+ 10x - 12

Bob's profit during August month is $3,563

That means, P = $3,563

We can use the profit formula given for Bob's profit:

P = x² + 10x - 12

Plug P =$3,563 in above formula.

i.e 3,563 = x² + 10x - 12

or 0 = x² + 10x -12 - 3,563

or 0 = x² + 10x - 3575

or x = 55, -65

Since number of skate boards can not be negative.

So we consider x= 55

Hence the number of skateboard company sell during the month of August = 55.

6 0

3 years ago