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2 years ago

Identify the zeros of the quadratic function! Please help

Mathematics

1 answer:

bezimeni [28]2 years ago

5 0

Answer:

-2.79, -4.21

Step-by-step explanation:

The function seen in the graph is 0.5 (x + 3.5)² - 1.

Hence,

$0.5(x+3.5)^{2} -1=0\\0.5(x+3.5)^{2} =1\\(x+3.5)^{2} = 0.5\\x+3.5 = \sqrt{0.5}\\or\\ x+3.5=-\sqrt{0.5} \\$

Finding the first answer,

$x+3.5=\sqrt{0.5} \\x=\sqrt{0.5}-3.5\\x=-2.79 (3sf)$

Finding the second answer,

$x+3.5=-\sqrt{0.5}\\x=-\sqrt{0.5} -3.5\\x=-4.21(3sf)$

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Is the following graph a function

daser333 [38]

You can use the vertical line test to determine if the graph is a function.

A function must: for every x value have only one y value.

Vertical line test: if you draw a bunch of vertical lines each line only touches the graph once.

So a circle would not be a function, or a horizontally facing parabola, etc... Remember, if you draw a vertical line "|" and it touches the graph more than once at any point then it is not a function.

Now take a look at the graph in the question.
In this graph if we do the vertical line test there are no place where a vertical line touches the graph twice so this graph is indeed a function.

This means your answer is C. Yes

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3 years ago

Volume ....................

Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

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3 years ago

Which expression is equivalent to (27.3-5.9)4?

makkiz [27]

Answer:

109.2-23.6 = 85.6

Step-by-step explanation:

use bodmas

B=bracket

O=of or multiplication

D=division

M=multiplication

A=addition

S=subtraction

so when you are opening a bracket you multipli the number in the bracket with the one outside the bracket

I.E

4×27.3=109.3

4×5.9=23.6

109-23.6=85.6

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3 years ago

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Part A

Snowcat [4.5K]

Answer:

Step-by-step explanation:

11 - 0 = 11

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11 is smaller than 14.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>

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2 years ago

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