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seropon [69]
3 years ago
9

25x²+0x-1 Factor completely Please provide an explanation if able

Mathematics
2 answers:
kati45 [8]3 years ago
4 0

Answer:

(5x-1)(5x+1)

Step-by-step explanation:

AleksandrR [38]3 years ago
3 0

Step-by-step explanation:

25x²+0x-1

so we mulpiply 25 with -1

we get -25x

now we have to find multiples of -25x which can add up to 0

we get -5x * 5x

now we do this

25x² - 5x + 5x -1

now simplify

5x(5x - 1) + 1(5x - 1)

(5x + 1)(5x - 1)

HOPE IT HELPS

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2. What are the solutions to the equation 6x2 - X - 40 = 0?
Andreas93 [3]

Answer:

x=-28

Step-by-step explanation:

you multiply the number first

and you calculate

then you move constant to the right

you changes the sign

done!

6 0
3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
In triangle abc angle a +angle b =90 then sin a =
Ivan

Answer:

sin(a)=cos(b)

Step-by-step explanation:

we know that

In the triangle abc

if m\angle a+m\angle b=90^o

then

m\angle c=90^o

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

so

sin(a)=\frac{x}{z}

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

so

cos(b)=\frac{x}{z}

therefore

sin(a)=cos(b)

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

so

sin(a)=cos(b)

cos(a)=sin(b)

8 0
3 years ago
A runner runs a distance of 450 metres in a time of 50 seconds. What is his average speed?
vekshin1

Answer:

0.279 miles / 0.449 km

Step-by-step explanation:

convert the meters into miles/kilometers to get your answer

4 0
2 years ago
Quadratics Help please?
irakobra [83]
(x-3)^2 + (x+5)^2=9^2
(x^2-6x+9) + (x^2+10x+25)=81
2x^2+4x+34=81
2x^2+4x-47=0
From here just use quadratic formula
5 0
3 years ago
Read 2 more answers
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