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2 years ago

Can someone help and explain it to me pls?

Mathematics

2 answers:

Elza [17]2 years ago

5 0

Answer:

Option C, 0 ≤ x ≤ 12

Step-by-step explanation:

the domain of a function is the set of inputs accepted by the function so all possible x values.

Since x-axis is time, time can never be negative

so the lowest x value is 0

the heights x values is the x intercept which is 12

hence option C

Ley me know if you have any questions!!!

Andru [333]2 years ago

3 0

Answer:

C. 0 ≤ x ≤ 12

Step-by-step explanation:

The domain is the horizontal extent of the graph. The "reasonable domain" is the set of values of the independent variable for which the function makes sense.

<h3>values of interest</h3>

Here, the graph is showing the gallons remaining in a pool after x minutes. In general, we're not interested in gallons for negative minutes. Nor are we interested in negative gallons.

<h3>domain of interest</h3>

The only part of the graph that makes any sense in this situation is the part of it in the first quadrant, where <em>y and x are both non-negative</em>. The values of x for this to be true are ...

0 ≤ x ≤ 12

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3 years ago

Read 2 more answers

2 u + 12 < 23<br> 0,1 d + 8 > 0<br> 3 - 4 r > 7<br> 13 < 2 z + 3<br> 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

<u><em>The question is</em></u>

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

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