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3 years ago

For what value of x is the rational expression below equal to zero?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

Since a rational expression is zero if the numerator is zero, set 3x + 15 = 0.

Therefore, 3x = -15, and x = -5

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The venue also wants the price of more expensive tickets to be at least 1.5 times the price of the cheaper tickets. Let x repres

ArbitrLikvidat [17]

The inequality representing the relationship between the two ticket prices will be y ≥ 1.5x.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The venue also wants the price of more expensive tickets to be at least 1.5 times the price of the cheaper tickets.

Let x represent the price of cheaper tickets and y be the price of the higher-priced tickets.

Then the inequality representing the relationship between the two ticket prices will be

y ≥ 1.5x

More about the inequality link is given below.

brainly.com/question/19491153

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8 0

2 years ago

Explain the connection between ∠2 and ∠B. A triangle has angle measures 50 degrees, 65 degrees, and B. 2 lines extend from a hor

Furkat [3]

Since the two angles are equal, hence the angles B and angle 2 are congruent.

<h3>Congruent triangles</h3>

Congruent triangles are triangles that are similar to each other

Since the sum of the interior angles of a triangle is 180°, then

m∠B + 50° + 65° = 180°

Determine the value of <B

m∠B = 180° - (50° + 65°)

m∠B = 180° - 115°

m∠B= 65°.

Similarly, the sum of angle on a straight line is 180 degrees

m∠2 + 50° + 65° = 180°

m∠2 = 180° - (50° + 65°)

m∠2 = 180° - 115°

m∠2= 65°

As we can see that the two angles are equal, hence the angles B and angle 2 are congruent.

Learn more on congruent angles here; brainly.com/question/2938476

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6 0

3 years ago

What is 90% of 45? need help fast

konstantin123 [22]

Hello,

The correct answer is 40.5.

90% of 45 = 40.5

Hope this helps!!!! :)

3 0

3 years ago

Find the unknown side length. Write your answer in simplest radical form.

Eva8 [605]

Answer: 1. x= 20 units, 2. x= $5\sqrt{3}$ units 3. x= $4\sqrt{2}$ units.

Step-by-step explanation:

In a right triangle,

$Hypotenuse^2= Perpendicular^2+Base^2$ (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

$\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20$

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

$\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$

3. Hypotenuse = 9 , Base = x, Perpendicular =7

$\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}$

5 0

3 years ago

As part of a competition, Diego must spin around in a circle 6 times and then run to a

anygoal [31]

Answer:

It took him 13.8 sec to run

Step-by-step explanation:

Time to spin 6 times can be represented mathematically by "6 s". Then the total time it took him to get to the tree (which must be the addition of the time spinning plus the time running) is:

6 s + r = 21 sec

since each spin takes him 1.2 sec, then we have:

6 (1.2 sec) + r = 21 sec

7.2 sec + r = 21 sec

r = 21 sec - 7.2 sec

r = 13.8 sec

7 0

3 years ago