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Anni [7]
2 years ago
12

The quadratic function:

+1" align="absmiddle" class="latex-formula"> has an axis of symmetry of x=-4. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Mathematics
1 answer:
pav-90 [236]2 years ago
8 0

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

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Tim and Jim are working on a school project together. If he had to work by himself, it would take
Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, \dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}

\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6

So, it will take<u> 6 hours</u> to complete the school project together .

4 0
3 years ago
What is the missing fifth term in the<br> pattern below?<br> 1,8, 27, 64, ___
mixer [17]

Answer:

the pattern is going in the form of 1³ , 2³ , 3³ , 4³

therefore next term should be 5³ which is equal to 125. So <u>the missing term is 125 </u>

I hope you got that.

By : Modern Einstein

8 0
2 years ago
The two lines y=2/5x+9 and y= -2/5x-9 are: <br> a) parallel <br> b) perpendicular <br> c)neither
irakobra [83]

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope and different y-intercept

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as these slopes have neither the answer in NEITHER

8 0
3 years ago
If <img src="https://tex.z-dn.net/?f=x%3D2z" id="TexFormula1" title="x=2z" alt="x=2z" align="absmiddle" class="latex-formula">,
Readme [11.4K]

Answer:

x = 1

z = 1/2

Step-by-step explanation:

z = 3/y

z = 3/6

z = 1/2

x = 2z

x = 2(1/2)

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8 0
3 years ago
Read 2 more answers
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Galina-37 [17]
The answer is 1 19/25.

8 0
3 years ago
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