All categories

2 years ago

8-5(x+2)<-5 what is the inequality with a line graph

Mathematics

1 answer:

Vadim26 [7]2 years ago

3 0

The expression for the inequality is:

$8-5(x+2)$

We need to find which line represents this inequality. To do that we will use the left side of the inequality and rewrite it as a slope-intercept form. Which is done below:

$\begin{gathered} y(x)=8-5(x+2) \\ y(x)=8-5x-10 \\ y(x)=-5x-2 \end{gathered}$

The line for this inequality is "-5x -2". Where the slope is -5 and the y-intercept is -2. We can graph it as shown below:

You might be interested in

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue

Leto [7]

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

$c(x) = 600x {}^{2} + 300x$

monthly revenue:

$r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500$

profit function:

$p(x) = r(x) - c(x)$

$p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)$

i) remove the first bracket

$p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)$

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x$

iii) collect like terms

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500$

iv) simply the like terms

$p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500$

6 0

3 years ago

Could someone help me, please? I got 4, but I’m not sure.

Slav-nsk [51]

Answer:

Step-by-step explanation:

8 0

3 years ago

The graph still have the same shade. What is the equation of the blue graph?

Andrew [12]

Answer:

G(x) = x²-2

I hope its right

7 0

3 years ago

Marla has $20 to spend on a bed for her dog. The bed she likes is priced at $18.50, and the sales tax is 6%. Does Marla have eno

konstantin123 [22]

Yes, because 6% tax of $18.50 is $1.11 and if you add the tax to the amount of the bed the total cost will be $19.61

5 0

4 years ago

When a graph line is vertical, it indicates that the relation:

marta [7]

Answer:

The relation has an undefined slope if the graph line is just vertical.

7 0

3 years ago