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3 years ago

5

In the equation 8x - 1=3x+4 the variable x represents the same value. Which value of x is the solution of the equation x = 0 1 2

or 3 ? Explain

1 answer:

OleMash [197]3 years ago

7 0

the AnSwEr is

12 because 8x - 1=3x+4 the variable x represents the same value and x= 0

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You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit

Snowcat [4.5K]

Answer:

p = 2.7x - 20

p(90) = $223

Step-by-step explanation:

revenue → f(x) = 3x ,where x is the number of downloads.

the statement “Your profit p is $20 less than 90% of the revenue for x downloads”

<u><em>means</em></u>

$p=90\% f\left( x\right) -20$

<u><em>means</em></u>

<u><em></em></u> $p=\frac{90}{100} \times f\left( x\right) -20$

<u><em>means</em></u>

$p=\frac{9}{10} \times (3x) -20$

<u><em>means</em></u>

$p=\frac{9}{10} \times (3x) -20$

<u><em>means</em></u>

$p=2.7x -20$

………………………………

the profit for 90 downloads :

= p(90)

= 2.7×(90) - 20

= $223

5 0

2 years ago

Find last year's salary if after a 5% pay raise , this year's salary is $39,375

ohaa [14]

Let x= last years salary. And 1.05 represents pay raise which 100% plus the 5%. 1.05(x)= 39375 you solve for x which gives you 37500

3 0

4 years ago

Which inequality is NOT true if y= -5?

Mila [183]

Answer: A

Step-by-step explanation:

2y - 10 > 13 y = -5

2(-5) - 10 > 13

-10 - 10 > 13

-20 > 13

False

3 0

2 years ago

The following graph is a revenue function. It represents the amount of revenue a company generates for each $2 increase in price

Sedaia [141]

112Answer:

Step-by-step explanation:

4 0

3 years ago

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Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

so

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

<em>Find the solutions of the original equation</em>

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

4 0

4 years ago

Read 2 more answers