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3 years ago

Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

Answer:

Step-by-step explanation:

so you replace all the x's with 15 and it becomes

2×15-5

2×15=30

30-5=25

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To get the paint colour you want you mix 2 parts red with 3 parts cream and 1 part blueHow much cream and blue will you need to

oksian1 [2.3K]

Red : Cream : Blue
2 : 3 : 1
2x2 : 3x2 : 1x2
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3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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3 years ago

Factorize the following expressions

klio [65]

Step-by-step explanation:

1. a² - ( b ² - 2bc + c² ) = a ² - b ² + 2bc - c²

2. 8p² - 18 q²

3. 3ab² - c²d + 3ab - b²c²

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3 years ago

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OLga [1]

One hundred and three million, seven hundred and twenty-seven thousand, four hundred and ninety five.

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3 years ago

Read 2 more answers

What is the explict rule for the geometric sequence? 9,6,4, 8/3 Enter your answer in the box. an=

ad-work [718]

Answer:

an = 9(⅔)^(n-1)

Step-by-step explanation:

The formula for explicit is: An = a1(r)^(n-1)

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2 years ago