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3 years ago

Can someone help me with this question?

Mathematics

2 answers:

Dimas [21]3 years ago

7 0

B 1/10 jfjdjdjdjdbdhdhdh

Svetllana [295]3 years ago

4 0

Answer:

1/10

Step-by-step explanation:

Let me know if you need help understanding!

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Which values are in the solution set of the compound inequality? Check all that apply. 4(x + 3) ≤ 0 or x + 1 > 3 –6 –3 0 3 8

Colt1911 [192]

we have

$4(x + 3) \leq 0$ -------> inequality 1

$x + 1 > 3$ -------> inequality 2

we know that

In this system of inequalities, for a value to be the solution of the system, it is enough that it satisfies at least one of the two inequalities.

let's check each of the values

case 1) x=-6

Substitute the value of x=-6 in the inequality 1

$4(-6 + 3) \leq 0$

$4(-3) \leq 0$

$-12 \leq 0$ -------> is ok

The value of x=-6 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 2) x=-3

Substitute the value of x=-3 in the inequality 1

$4(-3 + 3) \leq 0$

$4(0) \leq 0$

$0 \leq 0$ -------> is ok

The value of x=-3 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 3) x=0

Substitute the value of x=0 in the inequality 1

$4(0 + 3) \leq 0$

$4(3) \leq 0$

$12 \leq 0$ -------> is not ok

Substitute the value of x=0 in the inequality 2

$0 + 1 > 3$

$1 > 3$ --------> is not ok

The value of x=0 is not a solution of the compound inequality

case 4) x=3

Substitute the value of x=3 in the inequality 1

$4(3 + 3) \leq 0$

$4(6) \leq 0$

$24 \leq 0$ -------> is not ok

Substitute the value of x=3 in the inequality 2

$3 + 1 > 3$

$4 > 3$ --------> is ok

The value of x=3 is a solution of the compound inequality

case 5) x=8

Substitute the value of x=8 in the inequality 1

$4(8 + 3) \leq 0$

$4(11) \leq 0$

$44 \leq 0$ -------> is not ok

Substitute the value of x=8 in the inequality 2

$8 + 1 > 3$

$9 > 3$ --------> is ok

The value of x=8 is a solution of the compound inequality

case 6) x=10

Substitute the value of x=10 in the inequality 1

$4(10 + 3) \leq 0$

$4(13) \leq 0$

$52 \leq 0$ -------> is not ok

Substitute the value of x=10 in the inequality 2

$10+ 1 > 3$

$11 > 3$ --------> is ok

The value of x=10 is a solution of the compound inequality

therefore

the answer is

[-6,-3,3,8,10]

7 0

4 years ago

PLEASE HELP ASAP

ludmilkaskok [199]

Answer:

(i) Drain water from the aquarium by 2 gallons.

(ii) Let evaporate 2 gallons of water.

Step-by-step explanation:

The water of the amount 2 gallons is added to a fish aquarium by a man. Then it was observed that the pool was too full and the water level needed to bring back down.

Now, there are few ways to bring the water level back to its previous level.

Options :

(i) Drain water from the aquarium by 2 gallons.

(ii) Let evaporate 2 gallons of water.

(Answer)

3 0

3 years ago

Write an expression to describe the situation.

N76 [4]

1500•m i’m guessing

8 0

2 years ago

The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in sec

kow [346]

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0 and v = 80 feet/sec

Then the equation g(t) = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0 g(t) = - 16*t² + 80*t

B) The equation g(t) = - 16*t² + 80*t is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t) then the biggest value for t = 5 from

-16*t² + 80*t ≥ 0

-16*t ≥ -80 16*t ≤ 80

t ≤ 5

And the domain is ( 0 ≤ t ≤ 5 )

8 0

3 years ago

How to identify the parent function given an equation ?

Anettt [7]

Answer:

You can identify the parent function by making the equation into its simplest form.

Step-by-step explanation:

Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).

ex. y= -3x^2+15

The parent function would be y=x^2 after removing everything.

Hope this helps! :)

8 0

3 years ago