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3 years ago

Solve x^2=x+6 by factoring

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

(x+2)(x-3)

Step-by-step explanation:

easy

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If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?

gavmur [86]

Answer:

Step-by-step explanation:

I am assuming that "circle" indicates multiplication

So first we must determine that the equation we need to solve is t(x) · s(x)

Now, we need to substitute t(x) and s(x) into our equation established above

Now our equation will look like

(4 $x^{2}$ -x+3) · (x-7)

This of course is not the solved equation, but for the purposes of this answer, it is correct as that equation is equivalent to the original statement

6 0

3 years ago

Read 2 more answers

A fossil is 254 millimeters long. How many meters long is the fossil.

garik1379 [7]

it would be 0.254.

you have to convery the millimeter to meters

3 0

3 years ago

What is 2(3t-1)-5(t-1)

givi [52]

2(3t - 1) - 5(t - 1)
2(3t) - 2(1) - 5(t) + 5(1)
6t - 2 - 5t + 5
6t - 5t - 2 + 5
t + 3

3 0

4 years ago

The circumference of a circular mat is 13π feet. What is the area, in square feet, of the mat? Express your answer in terms of π

qaws [65]

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=13\pi \end{cases}\implies 13\pi =2\pi r\implies \cfrac{13\pi }{2\pi }=r\implies \boxed{\cfrac{13}{2}=r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left(\cfrac{13}{2} \right)^2\implies A=\pi \left( \cfrac{13^2}{2^2} \right)\implies A=\cfrac{169}{4}\pi$

6 0

3 years ago

A small planes flies 600 miles against the wind.in 3 hours. The return trip with the wind takes 2

suter [353]

Answer:

Speed of the plane: 250 mph

Speed of the wind: 50 mph

Step-by-step explanation:

Let x be the speed of the plane.

Let y be the speed of the wind

#Given that It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. We set our equations as:

$\frac{600mi}{3hr}=x-y\\\\\frac{600mi}{2hr}=x+y\\\\\\200mph=x-y\ \ \ \ \ \ ...i\\\\300mph=x+y\ \ \ \ \ \ \ ...ii\\\\\therefore\ x=200\ mph+y\\\\\#Substitute \ in \ ii\\\\300\ mph=200\ mph+y+y\\\\y=50\ mph\\\\\\x=200\ mph+50\ mph$

Hence, the speed of wind is 50 mph and the speed of the plane is 250 mph.

5 0

3 years ago