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3 years ago

Which graph represents the inequality x > 15

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

vfiekz [6]3 years ago

5 0

Answer:

Step-by-step explanation:

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It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase

Trava [24]

Answer: 28.8%

Step-by-step explanation:

First find out what her speed is:

Speed = Distance / Time

= 50 / 45

= 1.11 meters/second

Now her speed is:

= 50 / 35

= 1.43 meters/ second

The percentage increase in her speed is:

= (New speed - Old speed) / Old speed

= (1.43 - 1.11) / 1.11

= 0.288

= 28.8%

6 0

3 years ago

Which is the following is the set of real zeros of the function f(x) = (x3 + 1000)(x4 - 160,000)?

marusya05 [52]

Answer:

A. { -20, -10, 20 }

Step-by-step explanation:

Given:

The function is given as:

$f(x)=(x^3+1000)(x^4-160000)$

Let us simplify the function.

First, we use the identity $a^3+b^3=(a+b)(a^2-ab+b^2)$

$x^2+1000= x^3+10^3=(x+10)(x^2-10x+10^2)\\x^3+1000=(x+10)(x^2-10x+100)$

Next, we use the identity $a^4-b^4=(a-b)(a+b)(a^2+b^2)$

$x^4-160000=x^4-20^4=(x-20)(x+20)(x^2+20^2)=(x-20)(x+20)(x^2+400)$

Now, the function can be rewritten as:

$f(x)=(x+10)(x^2-10x+100)(x-20)(x+20)(x^2+400)$

Now, the zeros are those values of $x$ for which $f(x)=0$

Now, for $f(x)=0$ , we must have either of the factors 0.

$x+10=0\\x=-10$

$x-20=0\\x=20\\\\x+20=0\\x=-20$

The factors $x^2-10x+100$ and $x^2+400$ can have no zeros as the first one has imaginary roots and second one is always greater than 0 irrespective of the $x$ values.

So, the possible set of zeros are { -20, 10, 20 }.

6 0

4 years ago

The equation of the circle below is x2 + y2 = 5. <br> TRUE OR FALSE?

I am Lyosha [343]

FALSE

The standard form of the equation of a circle is

$(x - a) {}^{2} + (y - b) {}^{2} = r {}^{2}$

With (a, b) representing the centre and r representing the radius.

The radius of the circle in the attachment is 5, and therefore the circle has the following equation.

${x}^{2} + y {}^{2} = 25$

~ Hope this helps you!

3 0

4 years ago

What is -6 + 6? I will give 100 points to whoever answers this.

spayn [35]

0 duh because -6 is 6 before zero so if u add 6 u get 0

4 0

3 years ago

Read 2 more answers

Help<br> I dont know the answer im not very smart

Dahasolnce [82]

The domain of G is 4 and the range of G is 9 (domain=x, range=y :))

8 0

3 years ago