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3 years ago

For this graph, mark the statements that are true.

Mathematics

1 answer:

Arada [10]3 years ago

7 0

The only one that’s true there is A. Domain refers to x values and range is y values. Your domain is between -1 and 3 and your range starts at zero and increases infinitely upward.

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a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t

True [87]

9514 1404 393

Answer:

3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0

3 years ago

Which statement describes if there is an extraneous solution to the equation √x-3 = x-5? A. there are no solutions to the equati

Brrunno [24]

Remember that <span>an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.

Lets solve our equation to find out what is the extraneous solution:
</span> $\sqrt{x-3} =x-5$
$(\sqrt{x-3})^2 =(x-5)^2$
$x-3=x^2-10x+25$
$x^2-11x+28=0$
$(x-4)(x-7)=0$
$x-4=0$ and $x-7=0$
$x=4$ and $x=7$
<span>
So, the solutions of our equation are </span> $x=4$ and $x=7$ . Lets replace each solution in our original equation to check if they are valid solutions:
- For $x=7$
$\sqrt{x-3} =x-5$
$\sqrt{7-3} =7-5$
$\sqrt{4} =2$
$2=2$
We can conclude that 7 is a valid solution of the equation.

- For $x=4$
$\sqrt{x-3} =x-5$
$\sqrt{4-3} =4-5$
$\sqrt{1} =1$
$1 \neq 1$
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.

We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>

7 0

3 years ago

Gavin drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Gavin

Hoochie [10]

Answer:

<h2>8.0 liters</h2>

Step-by-step explanation:

The question is not well-formatted, this is supposed to be the correct format

<em>Gavin drank 4.5 liter of water Monday before going jogging. He drank 2.3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.</em>

Given

we are told that he first drank 4.5 liters of water before jogging

after jogging he drank 2.3 liters

Required

Total amount of water drank

=4.5+3.5

=8.0liters

5 0

3 years ago

Which is equivalent to 10(−225) ?

agasfer [191]

Answer:

2250. hope this helps!

Step-by-step explanation:

Multiply 10 225

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2 years ago

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If 3 inches equals 14 feet what is 35 feet in inches

sergij07 [2.7K]

Answer:

420 inches

Step-by-step explanation:

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3 years ago

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