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2 years ago

Which statement accurately describes the number and type of solutions for this quadratic, x^(2)-5x+1=0

Mathematics

1 answer:

topjm [15]2 years ago

5 0

Answer:

Hope this helps :] look at the picture

Step-by-step explanation:

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Find the five number summary

zlopas [31]

Minimum: 88

Quartile Q1: 131

Median: 214

Quartile Q3: 275

Maximum: 365

hope it helps

4 0

3 years ago

What number will fill in the blank ...... 1/3 = (blank)/6

diamong [38]

Answer:

Step-by-step explanation:

1/3 = x/6

Equivalent fractions.

Multiply 3 by 2 for x

(1×2)/(3×2) = 2/6

3 0

3 years ago

Read 2 more answers

Your checking account has grown from 2,675.25 to 3,750.25. what is your growth rate in percentage

zvonat [6]

Answer:

40.2%

Step-by-step explanation:

(New-old)/old

(3750.25-2675.25)/2675.25=0.4018

0.4018×100= 40.2%

6 0

3 years ago

How to write 13/4 as a mixed number

Tatiana [17]

13/4
3 1/3

Answer: 3 1/3

4 0

3 years ago

Read 2 more answers

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago