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3 years ago

Name two points on a line that has a slope of 5 over 8.

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Y=mx+b ....formula of slope

m refers to slope and b is intercept,,,so this become equation of y.
now answer,
y=5/8x+b

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Which two abiotic factors (also known as climate) determine the types of plants and animals that will be found in each terrestri

mafiozo [28]

The answer is A. Temperature and Precipitation since these are the most important factors that, for example, determine if the animal lives in a tropical or dry region, live closer to the poles, etc.

Hope I helped :))

8 0

3 years ago

Read 2 more answers

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

A star athlete at a local college scored a total of 649 points during the 31 basketball games she played in the 2004 regular sea

Marina CMI [18]

Answer:

Step-by-step explanation:

if u divide 649 by 31 u get 20. 93 Wich u round up to 21

5 0

3 years ago

5•10^6 is how many times as large as 5•10^6

Mamont248 [21]

Answer: 100

Step-by-step explanation:

For any two numbers X and Y, you can figure out how many times larger X is than Y by dividing X by Y . For example , 8 is 4 fine larger than 2 because 8/2=4 5*10^6/5*10^4 = 5/5*10^6/10^4 = 1*10^2 = 100

5 0

3 years ago

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller i

alexandr1967 [171]

Step-by-step explanation: 2+2=4 +4x8=9

4 0

3 years ago