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3 years ago

Composite functions✨

Mathematics

1 answer:

Ulleksa [173]3 years ago

7 0

$2x+1=16\\ 2x=15\\ x=\dfrac{15}{2}\\\\ f(16)=4\cdot\left(\dfrac{15}{2}\right)^2+4\cdot\left(\dfrac{15}{2}\right)=225+30=255$

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olga nikolaevna [1]

Answer:

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Step-by-step explanation:

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3 years ago

Mr. Greenwood bought 1/2 gallon of milk . His family members drank 3/4 of the milk for breakfast. How many gallons of milk did t

Marina CMI [18]

Given:

Mr. Greenwood bought 1/2 gallon of milk.

His family members drank 3/4 of the milk for breakfast.

To find:

How many gallons of milk did they drink ?

Solution:

We have,

Total milk = $\dfrac{1}{2}$ gallon

Milk drink by them = $\dfrac{3}{4}$ of the milk

= $\dfrac{3}{4}\times \dfrac{1}{2}$ gallon

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3 years ago

Read 2 more answers

A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?

Burka [1]

Answer:

Step-by-step explanation:

chiều dài:x,x>0

chiều rộ:y

$\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.$

$\left \{ {{x+y=163} \atop {xy=6370}} \right.$

$\left \{ {{y=163-x} \atop {xy=6370}} \right.$

$\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.$

$\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\$

$\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.$

$\left \{ {{y=65} \atop {x=98}} \right.$

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3 years ago

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Answer:

Step-by-step explanation:

<h3>Equation of the line in slope- intercept form:</h3>

$\sf \boxed{\bf y = mx +b}$

Here, m is the slope and b is the y-intercept

Find the slope with the given two points.

$\sf \boxed{slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf =\dfrac{4-6}{8-5}\\\\=\dfrac{-2}{3}$

Slope = -2/3 and choose any one the given points.

Substitute m = -2/3 and (5,6) in the above equation and find 'b'

$\sf 6 =\dfrac{-2}{3}*5+b\\\\6 =\dfrac{-10}{3}+b\\\\6+\dfrac{10}{3}=b\\\\\dfrac{6*3}{1*3}+\dfrac{10}{3}=b\\\\\dfrac{18}{3}+\dfrac{10}{3}=b\\\\\boxed{b=\dfrac{28}{3}}$

Equation of the line:

$y = \dfrac{-2}{3}x + \dfrac{28}{3}$

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2 years ago

Which of the following statements must be true to prove lines m and n are parallel?

nataly862011 [7]

Answer:

option C

Step-by-step explanation:

m∠3 =m∠6 ( Alternative Interior Angles are equal )

But m∠5 & m∠6 are linear pair. So ,

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3 years ago