2 years ago

Factor x3 – 7x + 6 completely given that (x - 2) is a factor.

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

4 0

Find one factor

$(x-2)(x^{2} +2x-3)$

Find one factor

$(x-2)(x-1)(x+3)$

$solution:(x-2)(x-1)(x+3)$

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Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

stealth61 [152]

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

$\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}$

Substitute the value of x in the given value of GH,

$\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}$

And the total length FH is,

$\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}$

Hence, the lengths are,

$\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}$

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11 months ago

The following graph shows the functions f(x) and g(x): graph of function f of x equals x squared and graph of function g of x eq

kompoz [17]

F(x) = x^2
g(x) = x^2+5
g(x) = f(x)+5

We see that g(x) is basically f(x) but we add on 5. So 5 will go in the blank.

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3 years ago

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A volleyball player serves the ball from a height of 6.5 feet above the ground with an initial vertical velocity of 21 feet per

Vaselesa [24]

Answer:

Option D. $H(t) = 6.5+21t-16t^2$

Step-by-step explanation:

we know that

If air resistance is ignored, the height h (in feet) of the ball t seconds after it is served is given by

$H(t) = - \frac{1}{2}g t^2 + V_0t + H_0$

where

g is the acceleration due to gravity which on earth is approximately equal to 32 feet / sec^2

V_0 is the initial velocity (when t = 0 )

H_0 is the initial height (when t = 0)

In this problem we have

$V_0=21\ ft/sec\\H_0=6.5\ ft$

substitute the given values

$H(t) = - \frac{1}{2}(32) t^2 + (21)t + 6.5$

$H(t) = -16t^2 + 21t + 6.5$

Rewrite

$H(t) = 6.5+21t-16t^2$

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3 years ago

What is the area of a triangle that has a height of 12 feet and a base length of 6 feet? 24 feet2 36 feet2 48 feet2 72 feet2

Kaylis [27]

It is 36 feet
A=1/2bh
a=1/2*12*6
a=6*6
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hope this helps!

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3 years ago

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A 20,000 gallon tank is 3/4full. If the drain valve on this tank allows 2.5 gallons of water to be drained per minute, about how

patriot [66]

Answer:

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Step-by-step explanation:

since the tank has 15,000 gallons of water. it drains at a rate of 150 gallons per hour so 15,000 divided by 150 equals 100

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