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2 years ago

What are the solutions to the equation (2x – 5)(3x – 1) = 0? x= 5 or x + 1

Mathematics

1 answer:

Temka [501]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Given

(2x - 5)(3x - 1) = 0

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = $\frac{1}{3}$

Solutions are x = $\frac{5}{2}$ or x = $\frac{1}{3}$

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Betty can drive her car 400 miles at a steady speed using 20 gallons of gasoline. at this rate how many gallons of gas will she

ch4aika [34]

Answer:

80 gal

Step-by-step explanation:

20 gal takes her 400 mi

Vol. of gas = 1600 ×20/400

Vol. of gas = 1600 ×1/20

Vol. of gas = 80 gal

Betty will use 80 gal of gas.

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2 years ago

A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft. How much time does it take for the r

Bogdan [553]

Check the picture below.

so it hits the ground when y = 0, thus

$\bf ~~~~~~\textit{initial velocity}\\\\
\begin{array}{llll}
~~~~~~\textit{in feet}\\\\
h(t) = -16t^2+v_ot+h_o
\end{array} 
\quad 
\begin{cases}
v_o=\stackrel{16}{\textit{initial velocity of the object}}\\\\
h_o=\stackrel{5}{\textit{initial height of the object}}\\\\
h=\stackrel{}{\textit{height of the object at "t" seconds}}
\end{cases}$

$\bf h(t)=-16t^2+16t+5\implies \stackrel{h(t)}{0}=-16t^2+16t+5
\\\\\\
16t^2-16t-5=0\implies (4t+1)(4t-5)=0\\\\
-------------------------------\\\\
4t+1=0\implies 4t=-1\implies t=-\cfrac{1}{4}\\\\
-------------------------------\\\\
4t-5=0\implies 4t=5\implies t=\cfrac{5}{4}\implies \boxed{t=1\frac{1}{4}}$

since "t" is seconds it took, it can't be a negative amount.

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3 years ago

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AfilCa [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Rom4ik [11]

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2 years ago

Solve: 20x-18<50<36x-16

lina2011 [118]

So this is actually composed o 2 sentances
20x-18<50 AND 50<36x-16
so solve each and find solutions where x is the same in both sentances
20x-18<50
add 18 to both sides
20x<68
divide both sides by 20
x<3 and 2/5
then the second sentance
50<36x-16
add 16 to both sides
66<36x
divide both sides by 36
1 and 5/6<x
so
since it is and, combine
3 and 2/5>x>1 and 5/6 or
17/5>x>11/6

the solution is
S={x|17/5>x>11/6}

7 0

3 years ago