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Nataly [62]
4 years ago
11

8 The square of a number is 12 less than 7 times the number. What is the number?

Mathematics
1 answer:
Alex4 years ago
8 0
7x^2 - 12 = 0
7x^2 = 12 | : 7
x^2 = 12/7 | sqrt
x = sqrt(12/7)
x = sqrt(84) / 7
x = 2sqrt(21) / 7
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The degree of the polynomial function f(x) is 4.
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Determine whether the ordered pair is a solution to the inequality. (-1, -1); y Greaterthanorequalto - x + 7 (5, 3); y > 3/4
Art [367]

Answer:

No and Yes.

Step-by-step explanation:

The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:

-1≥ -(-1)+7

-1 ≥ 1+7

-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.

On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:

3>(3/4)(5)-5

3>(15/4)-5

3> -5/4 and this is true, so (5,3) is a solution of  y>(3/4)x-5.

3 0
3 years ago
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
sineoko [7]

Answer:

The number of sundaes sold are 36.

Step-by-step explanation:

<em>The cost of each sundae is $2 and the cost of each banana splits is $3.</em>

<em>The number of sundae sold be "x" and banana split be "y".</em>

Thus, the total amount spent is,

= 2x+3y

The total amount spent is given to be $156. Thus,

156 = 2x+3y

It is also given that, the shop sold 8 more sundaes than banana splits. In equation form,

x = y+8

y = x-8,

Inserting this value of y in above equation, we get,

156 = 2x+3(x-8) =  5x-24

180 = 5x

Thus, x = 36 = number of sundae sold.

8 0
4 years ago
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