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3 years ago

WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW

Mathematics

2 answers:

horrorfan [7]3 years ago

8 0

Answer:

a. y = 0.5x +4 b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m = $1 per mile

b = $0 per ride

y = x

Ulleksa [173]3 years ago

7 0

Answer:

a. y= 4 + 0.50x b. y= 1.00x

Step-by-step explanation:

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Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie

Yakvenalex [24]

Volume of the pyramid:

$V=\dfrac{s^2h}3$

Perimeter of the cross-section:

$40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)$

$\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}$

Area of the cross-section:

$P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}$

$\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}$

First derivative test:

$\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3$

Then the height of the cross-section/pyramid is

$h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}$

The volume of the pyramid that maximizes the cross-sectional area $P$ is

$V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}$

5 0

3 years ago

Factorize: x^2 + (a^2+1)/a x+1

In-s [12.5K]

This is what I get not sure if the problem on numerator is together if it is then . X^2+(a^2+1) x^2+a^2+1. -----------------= ----------------- AX+1. Ax+1 Answer: a^2+x^2+1 ---------------- AX+1 If I wrote the actual problem wrong let me know. This is what I understood.

5 0

3 years ago

Is -6 over 7 a whole number a integer number or a rational number

vodka [1.7K]

Answer:

It is a rational number

Step-by-step explanation:

It is a rational number because -6/7 is equal to -0.857142 repeating. And a rational number repeats.

Hope this helps☝️☝☝

6 0

3 years ago

Read 2 more answers

Find two consecutive numbers whose cubes produce a sum of 1241

MrRa [10]

8 and 9

8^3 = 512

9^3 = 729

512 + 729 = 1241

3 0

3 years ago

I’m really bad at math can someone help me?(this is due today!)

dangina [55]

Okay i believe the first one is 4/7 and the second one is 2. also don’t listen to them. sometimes it can be hard and you start to stress. good luck and if this isn’t right i’m so sorry :) keep your head up!!!

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3 years ago