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4 years ago

Essential: Solve the proportions step by step

Mathematics

1 answer:

vazorg [7]4 years ago

6 0

Answer:

The value of r= $\frac{-106}{47}$

The value of x= $\frac{83}{32}$

Step-by-step explanation:

Given that,

A) $\frac{2r-2}{7r+10} = \frac{9}{8}$

Now,

$\frac{2r-2}{7r+10} = \frac{9}{8}$

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r= $\frac{-106}{47}$

B) $\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

Now,

$\frac{x+4}{9} = \frac{3(x-2)-1}{5}$

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x= $\frac{83}{32}$

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0

4 years ago

Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis

steposvetlana [31]

Answer:

The coordinates of his position is (-6,-8).

Step-by-step explanation:

Consider the provided information.

Let's assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East.

North represents the positive y axis, then south will represents the negative y axis.

It is given that the east represents the positive x axis then west represents the negative x axis.

Sasquatch-o-meter tells us that Sasquatch is 6 miles West and 8 miles South of our current position.

6 miles west represents a x=-6 and also 8 miles south represents y=-8

Thus, the coordinates of his position is (-6,-8).

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4 years ago

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tekilochka [14]

Answer:

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Step-by-step explanation:

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3 years ago

In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online

Katyanochek1 [597]

Answer:

$1.4 B per year

Step-by-step explanation:

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3 years ago

Solve. x /5 + 3 = 2 A) -5 B) 25 C) 5 D) - 1/5 <br><br> help me

Ilia_Sergeevich [38]

X/5 + 3 = 2
x+15=10
x=-5
Ans : A

8 0

3 years ago

Essential: Solve the proportions step by step ​

Essential: Solve the proportions step by step