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3 years ago

I need help with this question

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

The function has 3 real 0s. They are at X=-6, X= -2.236068, and X=2.236068

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PLEASE HELP!!

IRISSAK [1]

Step-by-step explanation:

$a + b = 6$

$ab = 1 \times 5 = 5$

$a = 1 \: \: \: \: \: \: \: \: b = 5$

$( {x}^{2} + x) + (5x + 5)$

$x(x + 1) + 5(x + 1)$

$(x + 1)(x + 5)$

Hope this is correct and helpful

HAVE A GOOD DAY!

8 0

4 years ago

Which equation represents a line parallel to the y axis?

scoray [572]

B: x=4 hope this helped!!

7 0

3 years ago

Please help me ! Reduced to lowest terms

Mandarinka [93]

Answer:

Step-by-step explanation:

7) 2ab + 4ac = 2*a*b + 2 *2 *a*c

= 2a(b + 2c)

$\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}$

8) ac - a²c² = c( a - a²c)

bc - abc = c(b - ab)

$\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\$

$=\dfrac{a-a^{2}c}{b-abc}$

9) b²+ 4b - 5 = b² + 5b - 1b - 5

= b(b + 5) - 1(b + 5)

= (b +5)(b - 1)

b² + 8b + 15 = b² + 5b + 3b + 15

= b(b + 5) + 3(b + 5)

= (b + 5 )(b + 3)

$\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\$

$=\dfrac{b-1}{b+3}$

8 0

2 years ago

Hope someone help.me

zvonat [6]

x = r sin θ cos Ф

x² = r² sin² θ cos² Ф

y = r sin θ sin Ф

y² = r² sin² θ sin² Ф

z = r cos θ

z² = r² cos² θ

x² + y² + z²

= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ

= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ

= r² sin² θ + r² cos² θ

= r² (sin² θ + cos² θ)

= r² √

7 0

3 years ago

Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.

Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).

$2x^{4} +x^{2}-10x-1$ = P(x) divided by $(x+2)$

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e. (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

$2(-2)^{4}+(-2)^{2}-10(-2)-1$

= $2(16) + 4 +20 -1$

= $32 +4 + 20 - 1$

= $55$ = Remainder

Hence, Remainder is 55.

8 0

3 years ago