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3 years ago

What is the answer for 2n^2-8n=-9 ?

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

2n^2-8n=9

divide by 2

2(n^2-4n) =9

add (4/2)^2 =4 to each side completing the square

(n^2-4n+4 ) =9/2+4

(n-2)^2 = 9/2+8/2

(n-2)^2 =17/2

take the square root of each side

n-2 = +-sqrt(17/2)

add 2 to each side

n = 2+- sqrt (17/2)

Answer:2+ sqrt (17/2),2- sqrt (17/2)

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What is the inverse of the function f(x) = 2x – 10?

Lana71 [14]

Answer:

$h(x)=\dfrac{x}{2}+5$

Step-by-step explanation:

You are given the function $f(x)=2x-10$ . To find the inverse function $f^{-1}(x)$ do such steps:

1. Rewrite the function f(x) as

$y=2x-10$

2. Express x in terms of y:

$y+10=2x\\ \\x=\dfrac{y}{2}+5$

3. Change x into y and y into x:

$y=\dfrac{x}{2}+5$

Now, the inverse function is

$f^{-1}(x)=\dfrac{x}{2}+5$

7 0

4 years ago

Read 2 more answers

What is each sum or difference?

elena-s [515]

1. 4-i
2. -2+3i
3. 0
4. 18i

5 0

3 years ago

What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during hi

Stels [109]

Answer:

0.4906 or 49.06%

<em>Missing Information:</em> I have attached the missing table showing the data obtained from the poll taken from respondents

Step-by-step explanation:

Using the data,

the number of people who do not think there will be an impact of global warming during their lifetime = 131

Number of People who think there will be impact = 134

Number of People who are unsure = 2

Total no. of people = 131 +134 +2 = 267

Probability that respondent 18-29 years age thinks global warming won't pose a threat during his/her lifetime = P

Probability = P = $\frac{Number.of.people.who.said.No }{Total.number.of.people}$

Probability = P = $\frac{131}{267}$ = 0.4906 or 49.06 %

3 0

3 years ago

4. Find the center and radius of the circle given by this equation: x2 – 8x + y2 + 4y - 16 = 0

scoray [572]

Answer:

Center ( 4 , -2) and r = 6

Step-by-step explanation:

x² - 8x + y² + 4y - 16 = 0

x² - 8x + y² + 4 y = 16

x²- 2*4x + y² + 2 *2y = 16

(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16

(x - 4)² + (y + 2)² = 16 + 16 + 4

(x - 4)² + (y -[-2])² = 36

(x- 4)² + ( y - [-2] )² = 6²

Compare with (x - h)²+ (y - k)² = r²

Center ( 4 , -2) and r = 6

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3 years ago

How modeling partialproducts can be used to find the products of greater numbers.

ratelena [41]

I'm not sure exactly what you mean, but I'm amusing what you mean. You can multiply the smaller number by a part of the bigger number. for instance, 45x5. You can multiply 5x5 and that =25, then mulitply 40x5=200. Then add 400+25=225. So, 45x5=225.

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4 years ago