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laiz [17]
3 years ago
9

Which must be true of a quadratic function whose vertex is the same as the y-intercept ?

Mathematics
1 answer:
jeka943 years ago
3 0
A quadratic function whose vertex is the same as the y-intercept has the equation
y=x^2+k   (where k is the y-intercept, with vertex (0,k))

Since the vertex coincides with the y-intercept, the axis of symmetry is x=0.
You might be interested in
0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???
Dmitriy789 [7]

Answer:

2/45

Step-by-step explanation:

0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: (\frac{1}{10} )(\frac{4}{9} ). Multiplying the two fractions results in 4/90 which can be simplified to 2/45.

7 0
2 years ago
Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

4^2 + x^2 = 6^2

16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

8 0
2 years ago
Jennifer bought a printer that cost $240. there was a 7% sales tax on the printer. how much sales tax did jennifer pay?
lilavasa [31]
Divide 7% into $240 dollars and hat should get you your answer.
hope this helps!
5 0
2 years ago
Read 2 more answers
Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938


Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
Choose all that are correct
iren [92.7K]

Answer:

Step-by-step explanation:

The number of defective laptops = 6/145 * 100 as a percent.

The number of defective laptops = 4.13% in a sample of 145

A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)

B: True. It is a reason assertion that about 4% of all laptops will be defective.

C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.

D: True. 10% is too high.

E: False. The variation should not be much.

3 0
2 years ago
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