2 years ago

Solve this inequality : 5x+7x<36

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

7 0

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

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99. What is the greatest prime factor of 5,355? A. 17 B. 51 C. 119 D. 131 E. 153

NemiM [27]

Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A

8 0

2 years ago

Let p denote the current market price for widgets and let x denote a quantity of widgets. The price per widget and the daily sup

natita [175]

Answer:

$x = 52.00$

Step-by-step explanation:

Given

$Demand: p = 0.16x + 16$

$Supply: p -0.09x + 29$

Required

Determine the equilibrium price

This is determined when Demand = Supply

So:

$0.16x + 16 = -0.09x + 29$

Collect Like Terms

$0.16x + 0.09x = 29 - 16$

$0.25x = 13$

Solve for x

$x = 13/0.25$

$x = 52.00$

Hence; The equilibrium price is when x = 52.00

6 0

3 years ago

If u(x)=-2x²+3 and v(x)=1/x, what is the range of (u ° v)(x)?

Ludmilka [50]

$u(x)=-2x^2+3\\\\v(x)=\dfrac{1}{x}\\\\(u\ \circ\ v)(x)=-2\left(\dfrac{1}{x}\right)^2+3=-2\left(\dfrac{1}{x^2}\right)+3=-\dfrac{1}{x^2}+3\\\\\text{The range of}\ y=\dfrac{1}{x^2}\ \text{is all positive real numbers.}\\\\\text{The range of}\ y=-\dfrac{1}{x^2}\ \text{is all negative real numbers.}\\\\\text{The range of }\ (u\ \circ\ v)(x)=-\dfrac{1}{x^2}+3\ is\ (-\infty,\ 3)$