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Vlad [161]
3 years ago
5

When a quadratic equation has a repeated solution?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

hello : <span>
<span>the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
</span>
if: Δ = 0 : : x1 =x2 = -b/2a      </span> (has a repeated solution)



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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20-x%3D3x%5C%5C" id="TexFormula1" title="\frac{5}{2} -x=3x\\" alt="\frac
Triss [41]
Multiply by 2
5 - 2x = 6x
Add 2x
5 = 8x
Divide by 8
x = 5/8
8 0
3 years ago
Use a geometric formula to solve the problem. a square has an area of 81 square meters. find the side length.
Yanka [14]
Answer: 9 meters

To answer this question you need to know the formula to calculate the area of a square. Square has same side length so the area is: length x length.
Then the calculation would be:

Area= length x length
81m2= length x length
Length ^2= 81 m2
Lengtj= <span>√81 m2</span> 
Length= 9 meters
4 0
3 years ago
Lana sells lampshades for $8 each and paper lanterns for $5 each at a one-day craft fair. She sells k lampshades and (k+5) paper
DENIUS [597]

Answer:

8k + 5k + 25

Or

13k + 25

Step-by-step explanation:

Lana's total sales = 8k + 5(k+5)

Since the expressions are not given in the question;

The equivalent expression could be

= 8k + 5k + 25

Equivalent to

= 13k + 25

3 0
3 years ago
Ai Lun, a management trainee at a large New York based bank, is trying to estimate the real rate of return expected by investors
salantis [7]

Answer:

option B

Step-by-step explanation:

given,                                              

3-month T-bill currently yields  = 3%          

customer price have been rising = 2% rate

Ai Lun's estimate of the real rate = ?            

real rate return                                                  

                       = \dfrac{1 + risk\ free\ rate}{1 +inflation\ rate} - 1

                       = \dfrac{1 + 0.03}{1 +0.02} - 1

                       = \dfrac{1.03}{1 .02} - 1

                       = 1.0098 - 1

                       = 0.0098

                       = 0.98 % ≅ 1 %

hence, the correct answer is option B

6 0
3 years ago
Hong made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces wa
egoroff_w [7]
B+ p= 10.40
b=2x 2.50
Now using substitution method replace b in first equation with value of second equation basically combing the two equations into one do you end up with one variable to solve .
2 x 2.50 +p =10.40
5 + p=10.40
P=$5.40
b =$5.00
The answer is EACH pendant cost $2.70
(You have to divide 5.40 by two )
6 0
3 years ago
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