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Semenov [28]
4 years ago
9

A positive number is 30 less than its square. Find the number.

Mathematics
2 answers:
FinnZ [79.3K]4 years ago
8 0

Answer:

6

Step-by-step explanation:

6+30=36

6^2=36

ryzh [129]4 years ago
3 0

Answer:

the positive number is equal to  6.

Step-by-step explanation:

from the question which says A positive number is 30 less than its square. Find the number.

let the number be "n"

and the square of the number = n²

So, we have  the expression to be

n = n²-30

n ²-30 -n =0

Re-arrange the equation

n²-n-30=0

the factors of -30 are 5 and -6

so we have

(n+5)(n-6)=0

n+5 =0

n = -5

or

n-6 =0

n = 6

therefore the number can either be -5 or 6.

note we are asked to find the positive number , so the positive number is 6

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find real numbers a, b, and c so that the graph of the function y=ax^2+c contains the points (-1,6), (2,7), and (0,1)
Paraphin [41]
This gives you three simultaneous equations:

6 = a + c
7 = 4a + c
1 = c
 
<u>c = 1
</u>
<u /><u />
If c =1,

6 = a + 1
<u>a = 5
</u>
<u /><u />
This doesn't work in the second equation, so the quadratic that goes through these points is not in the form y = ax^2 + bx + c
Was there supposed to be a b in the equation?




5 0
4 years ago
7/10 -___+ 3/2= 6/5<br>Fill in the blanks to make the statement true
VladimirAG [237]

Answer:

1

Step-by-step explanation:

7/10-x+3/2=6/5

7/10-x=6/5-3/2

7/10-x=-3/10

-x=-10/10

x=1

6 0
4 years ago
Which of the following would be equivalent to 9 to the power of 2 ⋅ 9 to the power of 6?
Anna35 [415]
9^{2} * 9^{6} =  9^{2+6} = 9^{8} = 43046721
7 0
4 years ago
Need help on question 7???
Marat540 [252]

Answer:

143

Step-by-step explanation:

8 0
3 years ago
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
4 years ago
Read 2 more answers
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