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posledela
2 years ago
6

Opposite reciprocal of -9/1 and 11/-7

Mathematics
1 answer:
PtichkaEL [24]2 years ago
7 0

Answer:

1/9 and 7/11

Step-by-step explanation:

hope this is helpful :)

You might be interested in
20000 into saving account 6% compound interest for 10 years
zimovet [89]

Answer:

210,000‬

Step-by-step explanation:

20,000 * 6% = 1,200‬

20,000 + 1,200 = 21,000

21,000 * 10 = 210,000‬

Therefore your answer is 210,000‬

3 0
3 years ago
1.) Determine the type of solutions for the function (Picture 1)
NNADVOKAT [17]

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

7 0
2 years ago
Can someone help me with question 3
djyliett [7]

2. Alana needs to sell 52 boxes of cookies:

She sold 7 boxes to her aunt

She sold 2 boxes to her mother

She sold 15 boxes to her neighbor

you add 7+2+15 = 24 boxes of cookies that she sold

We need to find out how many more boxes of cookies she needs to sell-

We take the 24 boxes she sold and subtract from 52 boxes that she needs to sell.

24 - 52 = 30

The answer is 30, she needs to sell 30 more boxes.

------------------------------------------------------------------------------------------------------------

3.  Sam, Jimmy and Andre shared a number of pennies in the ratio 8:5:3

Sam (8), Jimmy (5) and Andre (3)

How many more pennies did Jimmy receive than Andre?

you subtract 3 - 5 = 2

The answer is 2 more pennies.

-------------------------------------------------------------------------------------------------------------

4. Jamila spent $33.00 and Akiko spent $ 42.00  

Jamila  had 4 times as much money left as Akiko. How much money did each of them have in the beginning?

Since Akiko spent the highest amount- you will have to go with the higher amount to find the answer

4 x $42.00 = $168.00

They both in the beginning had $168.00

I hope this helps.



3 0
3 years ago
Can you PLEASE PLEASE help me with this question!!!!
svlad2 [7]
4% of 200 7 graders= 8, so 8 are expected to move by the end of the year. but if 12 students actually moved instead, there was 4 more moves than we expected. I hope this helped..!
4 0
3 years ago
Consider the triangle.
mr Goodwill [35]

For this case we observe that the three angles of the triangle are equal. Also, we have by definition:

A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or\frac {\pi} {3}.

Answer:

The three sides have the same length

8 0
3 years ago
Read 2 more answers
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