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nadezda [96]
3 years ago
14

Tx^2+3x-7=0 has two real solutions. What can be deduced from value of T?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

T > -9/28

Step-by-step explanation:

A quadratic has two real solutions when the discriminant (b² - 4ac) is positive.

b² - 4ac > 0

3² - 4(T)(-7) > 0

9 + 28T > 0

28T > -9

T > -9/28

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Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c
Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount  she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

A=P+SI

SI=\frac{P\times r\times t}{100}

Plugging the values we get:

SI=\frac{2000\times 4\times 7}{100}=560.00

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

\$2000.00+\$560.00=\$2,560.00

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0
3 years ago
3(x - 5) – 3 = 5(x - 2) + 2x
Arlecino [84]

Answer:

x=−2

Step-by-step explanation:       Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

3x+−15+−3=5x+−10+2x

(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)

3x+−18=7x+−10

3x−18=7x−10

Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

−4x=8

Step 4: Divide both sides by -4.

−4x

−4

=

8

−4

x=−2

6 0
3 years ago
Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *
Andru [333]

Answer:

(x − 1)² + (y + 1)² = 18

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

The center is (1, -1), so plugging that in:

(x − 1)² + (y + 1)² = r²

A point on the circle is (4, 2), so plugging that in:

(4 − 1)² + (2 + 1)² = r²

18 = r²

Therefore, the equation is:

(x − 1)² + (y + 1)² = 18

7 0
3 years ago
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader
natka813 [3]

Answer:

the answer is 420

Step-by-step explanation:

5 0
3 years ago
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Determine the number and type of complex solutions and possible real solutions 4x3 – 12x + 9 = 0
kirill [66]
21 + -12x=0 I think that is the solutiuon
4 0
3 years ago
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