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3 years ago

Becca earns money mowing her neighbors' lawns.

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

Answer: $p(x)= 13x-20$

Step-by-step explanation:

Given: The revenue for mowing x lawns is $r(x) = 18x$ .

Becca's cost for gas and the mower rental is c(x) = 5x + 20

The profit from mowing x lawns is given by :-

$p(x)=(r-c)(x)$

The above function can be written as

$p(x)=(r-c)(x)=r(x)-c(x)\\\\\Rightarrow p(x)= 18x-(5x+20)\\\\\Rightarrow p(x)= 18x-5x-20\\\\\Rightarrow p(x)= 13x-20$

Sindrei [870]3 years ago

4 0

P(x) = 18x - (5x + 20)
p(x) = 18x - 5x - 20
p(x) = 13x - 20 <===

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Enter your answer, in simplest radical form.

Alexus [3.1K]

Answer: 30x $\sqrt{2y}$

Step-by-step explanation:

$\sqrt{6x}$ x $\sqrt{15xy}$ x $\sqrt{20}$

This can also be written as :

$\sqrt{6x.15xy.20}$

= $\sqrt{1800x^{2}y}$

which could be written as :

$\sqrt{900x^{2}}$ x $\sqrt{2y}$

= 30x $\sqrt{2y}$

4 0

3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is 0.5 s and 7 s.

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$