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3 years ago

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Mathematics

2 answers:

Dominik [7]3 years ago

7 0

Answer:

3, and -7

Step-by-step explanation:

First factor the trinomial

y=x2−4x−21

Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).

y = (x + 3)(x - 7)

Solving the 2 binomials, we get:

x = -3 and x = 7

trasher [3.6K]3 years ago

6 0

Answer: Its B

A number line going from negative 8 to 8. Closed circles are at negative 3 and 7. The line between the circles is shaded.

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Pls I’m about to cry...

marissa [1.9K]

FORMULA:

Volume of cylinder = πr²h
Volume of sphere = 4/3πr³

ANSWER:

Volume of capsule = 4/3πr³ + πr²h

πr²(4/3r + h)

3.14 × 2²(8/3 + 5.6)
3.14 × 4(2.6 + 5.6)
12.56(8.2)
102.99 or 103 rounded.

Now, Density = 0.7mg/mm³

0.7/103
0.00679mg

7 0

1 year ago

Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centaur

Deffense [45]

Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

<u><em>The complete question in English is</em></u>

You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

$9.3*10^7\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{9.3*10^7\ miles}{x}\\\\x=(9.3*10^7)/5.88*10^{12}\\\\x=1.58*10^{-5} \ years$

This time is very small in years

Convert to minutes

$1.58*10^{-5} \ years=1.58*10^{-5} (365)(24)(60)=8.3\ min$

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

$2.5*10^{13}\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{2.5*10^{13}\ miles}{x}\\\\x=(2.5*10^{13})/5.88*10^{12}\\\\x=4.25\ years$

$4.25\ years< 5\ years$

therefore

The spaceship will get to Alpha Centaur in time

3 0

2 years ago

en la tienda la cuquita vende queso cortado en trosos de diferentes pesos calculen presios y pesos para completar la infomacion

telo118 [61]

answer 143.00 Step-by-step explanation:

5 0

2 years ago

2. Sophia scored 42 points in 3 games. How many points would you expect her to make in 11 games?

igomit [66]

Answer:

154

Step-by-step explanation:

42/3=14

14*11=154

6 0

1 year ago

Read 2 more answers

What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, 0)

dusya [7]

The answer would be (–4, 0) (–4, 0), (4, 0) (–4, 0) and (4, 0)

You would be looking for anything that is on the X access on the coordinate plan, so it would somewhat have to be a straight line, the way you can find that is (x, y) so whatever is in X will be your answer!

3 0

2 years ago

Read 2 more answers