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alexdok [17]
2 years ago
15

√(5-2x) - √(2-x) = 1

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0
Square both sides. (5-2x) - (2-x) = 1^2. 5 - 2x - 2 + x = 1. Simplify to get 3 - x = 1. X=2
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QUESTION 6
Oxana [17]

Answer:

Option D. 17%

Step-by-step explanation:

we have

f(x)=250,000(1.17)^{x}

This is a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

so

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

8 0
3 years ago
Read 2 more answers
An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0
3 years ago
3 A set consisting of no element is
Andrews [41]

Answer:

The set is called a null set

Step-by-step explanation:

Because it has no members

8 0
3 years ago
Read 2 more answers
Expand 2x(5x - 2) help :(
weeeeeb [17]

Answer:

(2x • 5x) + (2x • -2)

Step-by-step explanation:

I think that's what you're looking for, you just distribute the 2x to both of the numbers in the parathesis

3 0
2 years ago
A 3 foot tall globe standing next to a woman cast an 8 ft shadow. if the woman cats a shadow that is 16ft long , then how tall i
My name is Ann [436]

The woman is 6 foot tall

<h3>What is proportion?</h3>

Proportion can be defined as the mathematical comparison of two numbers.

These numbers could be numbers, elements, set or people

From the information given, we have that;

  • The globe is 3 feet and casts a shadow of 8ft
  • The woman cast a shadow of 16ft and is x feet tall

So,

if the globe is 3 foot tall and casts a shadow of 8ft

Then the woman is x foot tall to cast a shadow of 16ft

cross multiply

8x = 24

Make 'x' the subject

x = 48/ 8

x = 6 foot

Thus, the woman is 6 foot tall

Learn more about proportion here:

brainly.com/question/1781657

#SPJ1

3 0
2 years ago
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