All categories

2 years ago

Given (x - 1)2 = 50, select the values of x. X = -49 x = 51 x= 1+ 5V2 x = 1 - 5V2

Mathematics

1 answer:

Natalija [7]2 years ago

4 0

Step-by-step explanation:

(x - 1)² = 50

Either x - 1 = +√50 or x - 1 = -√50.

Hence, x = +/-√50 + 1 = +/-(5√2) + 1.

You might be interested in

The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?

nika2105 [10]

ANSWER

The correct answer is $g(x)=-x-6$

EXPLANATION

The mapping for reflection across the x-axis is given by $(x,-y)$

Given $f(x)=x+6$ . We can let $y=x+6$

we can write the ordered pair $(x,y)$ or $(x,x+6)$ as the ordered pair of the preimage of $f$ .

The image function will have the ordered pair $(x,-y)$

or

$(x,-x-6)$ .

That is, we negate all the y-coordinates.

Therefore

$g(x)=-x-6$ .

4 0

2 years ago

Read 2 more answers

The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Vi

Vlad [161]

Answer:

Part. B

bc it was 71%

6 0

2 years ago

Read 2 more answers

Vinny is serving punch to guests at a party. He has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cu

Nata [24]

Divide 2/3 by 3/64 and you will get the number of cups of punch. It doesn't come out evenly, but that's the way to do this.there is a total of 2/3 gallon of punch. Each guests has a cup of 3/64 gallon of punch. Now many 3/64 gallon of punch can you fit in 2/3 gallon of punch, that will tell you how many guests there are. so naturally we want to divide<span> ( 2/3 ) / ( 3/64).</span>

7 0

2 years ago

Read 2 more answers

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it ta

MAXImum [283]

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.

3 0

2 years ago

Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).

aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0

2 years ago