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Advocard [28]
3 years ago
7

Complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Equation  x^2+4x+2 is converted to  1(x-(-2))^2-2

<u>Step-by-step explanation:</u>

We need to complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k . Let's do this :

We have , following equation to convert as :

⇒ x^2+4x+2

⇒ (x+2)^2-2

⇒ 1(x+2)^2-2

⇒ 1(x+2)^2-2

⇒ 1(x-(-2))^2-2

Comparing this to equation  a(x-h)^2+k we get :

a=1\\h=-2\\k=-2

Therefore , Equation  x^2+4x+2 is converted to  1(x-(-2))^2-2.

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Write the equation in slope intercept form y= 3 (x+ 1) + 5x
schepotkina [342]

Given:

y=3(x+1)+5x

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

\begin{gathered} y=3(x+1)+5x \\  \\ y=3x+3+5x \\  \\ y=8x+3 \end{gathered}

Final Answer:

y=8x+3

5 0
9 months ago
Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if
kakasveta [241]

Answer:

29.411 %  of the result is true.

Step-by-step explanation:

This test's sensitivity is low.

Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.

But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.

And 85 % accuracy would give  95* 0.85= 80.75 which is very high.

And out of the 80.75 * 15%= 12.11 only 12 are positive .

The results give us  5 out of 17  true possibilities

or 5/17 *100= 29.411 %  of the result is true.

8 0
2 years ago
WILL GIVE BRAINLIEST
erma4kov [3.2K]

Answer:

y = mx + b is the answer

Step-by-step explanation:

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6 0
2 years ago
When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?
balandron [24]
6√90 = <span>2.11693286302546
So, this number to the power of six equals 90. 
</span><span>2.11693286302546^6 = 90
</span>
The correct answer is <span>2.11693286302546. </span>
6 0
3 years ago
Here is an inequality: -2x&gt;10
jek_recluse [69]

Answer:

The right solution is "x>-5".

Step-by-step explanation:

The given inequality is:

⇒ -2x>10

By solving the above expression, we get

⇒ x >-\frac{10}{2}

⇒ x>-5

Thus the above is the correct answer.

7 0
2 years ago
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