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Who'd be better at speed answering? Datguy323 or some Helping Hand? (Not a serious question) Solve for the variables: $x^3+y^7=28\nx^3=27$

Answers

Answer 1

Answer:

Answer:

x = 3

y = 1

Step-by-step explanation:

The equations are:

$x^3+y^7 = 28$

and

$x^3 = 27$

Putting second equation in the first one:

=> $27+y^7 = 28$

Subtracting 27 to both sides

=> $y^7 = 28-27$

=> $y^7 = 1$

Taking power 7 to both sides

=> y = 1

Now,

$x^3 = 27$

Taking cube root on the both sides

x = 3

Answer 2

Answer:

Answer: (3,1)

Step-by-step explanation:

First, to find x, simply take the cube root of 27, or 3. Thus, x = 3.

Then, simply plug it in:

$27+y^7=28\nSubtract(27)\ny^7=1\ny=1$

Thus, y = 1

Hope it helps <3

p.s. for some reason, in a graphing calculator, it shows no solutions

Hope it helps <3

2 in a row!

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What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?

Answers

Answer:

6,1

Step-by-step explanation:

Name the slope and one point that is on the linerepresented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answers

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

------------------

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Pre Calc Introduction to Derivatives-Using Limits Help!

Answers

Answer:

Attachment 1 : Option A,

Attachment 2 : Option D,

Attachment 3 : Option B,

Attachment 4 : Instantaneous rate of change will be 24

Step-by-step explanation:

"Remember that we can solve such questions by finding the derivative first"

1 : Let's consider this approach a bit differently. If we were to graph this function, we would see that the point (-2,26) would lie on the curve having a negative slope.

The rate of change would thus be negative, eliminating choices b and d. And, the slope of this function would be much greater than 4 due to the coefficient of " 5 " in f(x) = 5x² + 6. Hence our answer will be option a.

2 : f'(5) = - 2 * 5 + 4,

f'(5) = - 10 + 4 = - 6

Your solution is option d.

3 : f'(2) = 12 / 2 + 1 / - 3,

f'(2) = 12 / 3 / - 3 = 4 / - 3,

f'(2) = - 4 / 3

Your solution is option b.

4 : Here again we can apply the power rule, where using constant multiple rule and derivative of a constant, you can quickly find the derivative of g.

g'(t) = 3(2x¹) + 0 = 6t,

And now we can evaluate the derivative at that value of t.

g'(4) = 6(4) = 24 - hence the instantaneous rate of change at t = 4, will be 24

I travelled at 60km/hour and took 2hours for a certain journey.How long would it have taken me if I had travelled at 50km/hour?

Answers

Answer:

if you would travel 50km/h then the time will be 2.4hours

Step-by-step explanation:

speed=v1=60km/h

time=t1=2h

speed=v2=50km/h

time=t2=?

as we know that

v1×t1=v2×t2

evaluating the expression

(v1×t1)/v2=t2

putting values

$(60km/h*2h)/(50km/h)=t2$

$(120km/h^2)/(50km/h)=t2$

2.4hours=t2

i hope this will help you :)

Quadrilateral STRW is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.

Answers

Minor point: the quadrilateral is STWR, not STRW. Vertices are named in order.

The measure of angle T is half the measure of arc WRS. The measure of angle R is half the measure of arc STW. The sum of the measures of the two arcs is the measure of a circle, 360°, so you have

... T + R = (WRS)/2 + (STW)/2

... ... = (WRS + STW)/2

... ... = 360°/2 = 180°

Since the sum of T and R is 180°, they are supplementary.

If the garden is to be 1250 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.