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3 years ago

Factor completely: 4x2 + 25x + 6

Mathematics

2 answers:

garik1379 [7]3 years ago

7 0

Answer:

Factors of given equation $4x^2+25x+6$ is $(x+6)(4x+1)$

Step-by-step explanation:

Given: equation $4x^2+25x+6$

We have to factorize the given quadratic equation $4x^2+25x+6$

We will factorize the quadratic equation using middle term splitting method,

Factorize the coefficient of x in such a way so that the sum or difference of the terms gives the poduct of coefficient of $x^2$ and constant term.

For given equation,

25x can be split as 24x + x

Equation can be written as,

$4x^2+24x+x+6$

taking 4x common from first two terms and 1 common from last two term , we have,

$\Rightarrow 4x(x+6)+1(x+6)$

Taking (x+6) common , we have

$\Rightarrow (x+6)(4x+1)$

Thus, factors of given equation $4x^2+25x+6$ is $(x+6)(4x+1)$

steposvetlana [31]3 years ago

4 0

(x + 6)(4x + 1) 
x times 4x = 4x^2 
x times 1 = x 
6 times 4x = 24x 
6 times 1 = 6 
Now add like terms and you get 4x^2 + 25x + 6

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Find the solutions of the following function:

sveticcg [70]

Answer:

x = 0, 4, -2

Step-by-step explanation:

f (x) = 3x (x – 4) (x + 2)

0= 3x (x – 4) (x + 2)

3x = 0, x-4 =0 , x+2 = 0

x = 0, 4, -2

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3 years ago

What isthe turning point of the parabola equation isY=(x+2)(x-8)

Law Incorporation [45]

Answer:

(3, - 25 )

Step-by-step explanation:

Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

The the x- coordinate of the turning point is

x = - $\frac{b}{2a}$

Given

y = (x + 2)(x - 8) ← expand factors using FOIL

= x² - 6x - 16 ← in standard form

with a = 1 and b = - 6, thus

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Substitute x = 3 into the equation for corresponding value of y

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3 years ago

I'm not sure how to do these equations

Gennadij [26K]

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4 years ago

The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3}

Crazy boy [7]

A dimension of a sphere is its radius, so it correlates with its volume, thus

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
%The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3}
\cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{8829}}\qquad 
\begin{cases}
8829=3\cdot 3\cdot 3\cdot 327\\
\qquad 3^3\cdot 327
\end{cases}$

$\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{3^3\cdot 327}}\implies \cfrac{s}{s}=\cfrac{\underline{\sqrt[3]{327}}}{3\underline{\sqrt[3]{327}}}\implies \cfrac{s}{s}=\cfrac{1}{3}$

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3 years ago

The regular hexagonal prism tank is completely filled with water. The tank has a height of 5 ft and the area of its base is 22ft

love history [14]

Answer:

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Step-by-step explanation:

Use the prism volume formula, V = Bh, where B is the area of the base and h is the height.

Plug in the area of the base and height, and solve for V:

V = Bh

V = (22)(5)

V = 110

So, the volume is 110 ft³

There is 110 ft³ of water in the tank

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3 years ago