All categories

3 years ago

Helppppp on alllll plz

Mathematics

1 answer:

igomit [66]3 years ago

3 0

a. $150

b. 150+20x $\geq$ 630

20x $\geq$ 480

x $\geq$ 24

c. 150+20x $\geq$ 750

20x $\geq$ 600

x $\geq$ 30

d. 150+20x $\leq$ 950

20x $\leq$ 800

x $\leq$ 40

Hope Your Thanksgiving Goes Well, Here's A Turkey

-TheKoolKid1O1

You might be interested in

Can you help me plz.

gavmur [86]

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

3 0

3 years ago

Read 2 more answers

Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The graph of f has a vertical asymptot

Musya8 [376]

Answer:

a) $a = 2$ and $b = -4$ , b) $c = -10$ , c) $f(-2) = -\frac{5}{3}$ , d) $y = -\frac{5}{2}$ .

Step-by-step explanation:

a) After we read the statement carefully, we find that rational-polyomic function has the following characteristics:

1) A root of the polynomial at numerator is -2. (Removable discontinuity)

2) Roots of the polynomial at denominator are 1 and -2, respectively. (Vertical asymptote and removable discontinuity.

We analyze each polynomial by factorization and direct comparison to determine the values of $a$ , $b$ and $c$ .

Denominator

i) $(x+2)\cdot (x-1) = 0$ Given

ii) $x^{2} + x-2 = 0$ Factorization

iii) $2\cdot x^{2}+2\cdot x -4 = 0$ Compatibility with multiplication/Cancellative Property/Result

After a quick comparison, we conclude that $a = 2$ and $b = -4$

b) The numerator is analyzed by applying the same approached of the previous item:

Numerator

i) $c\cdot x - 5\cdot x^{2} = 0$ Given

ii) $x \cdot (c-5\cdot x) = 0$ Distributive Property

iii) $(-5\cdot x)\cdot \left(x-\frac{c}{5}\right)=0$ Distributive and Associative Properties/ $(-a)\cdot b = -a\cdot b$ /Result

As we know, this polynomial has $x = -2$ as one of its roots and therefore, the following identity must be met:

i) $\left(x -\frac{c}{5}\right) = (x+2)$ Given

ii) $\frac{c}{5} = -2$ Compatibility with addition/Modulative property/Existence of additive inverse.

iii) $c = -10$ Definition of division/Existence of multiplicative inverse/Compatibility with multiplication/Modulative property/Result

The value of $c$ is -10.

c) We can rewrite the rational function as:

$f(x) = \frac{(-5\cdot x)\cdot \left(x+2 \right)}{2\cdot (x+2)\cdot (x-1)}$

After eliminating the removable discontinuity, the function becomes:

$f(x) = -\frac{5}{2}\cdot \left(\frac{x}{x-1}\right)$

At $x = -2$ , we find that $f(-2)$ is:

$f(-2) = -\frac{5}{2}\cdot \left[\frac{(-2)}{(-2)-1} \right]$

$f(-2) = -\frac{5}{3}$

d) The value of the horizontal asympote is equal to the limit of the rational function tending toward $\pm \infty$ . That is:

$y = \lim_{x \to \pm\infty} \frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x -4}$ Given

$y = \lim_{x \to \infty} \left[\left(\frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x-4}\right)\cdot 1\right]$ Modulative Property

$y = \lim_{x \to \infty} \left[\left(\frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x-4}\right)\cdot \left(\frac{x^{2}}{x^{2}} \right)\right]$ Existence of Multiplicative Inverse/Definition of Division

$y = \lim_{x \to \pm \infty} \left(\frac{\frac{-10\cdot x-5\cdot x^{2}}{x^{2}} }{\frac{2\cdot x^{2}+2\cdot x -4}{x^{2}} } \right)$ $\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}$

$y = \lim_{x \to \pm \infty} \left(\frac{-\frac{10}{x}-5 }{2+\frac{2}{x}-\frac{4}{x^{2}} } \right)$ $\frac{x}{y} + \frac{z}{y} = \frac{x+z}{y}$ / $x^{m}\cdot x^{n} = x^{m+n}$

$y = -\frac{5}{2}$ Limit properties/ $\lim_{x \to \pm \infty} \frac{1}{x^{n}} = 0$ , for $n \geq 1$

The horizontal asymptote to the graph of f is $y = -\frac{5}{2}$ .

4 0

4 years ago

Urgent please help!!!!!!!!!!

zhenek [66]

Answer:

The correct answer is B, the second option

Step-by-step explanation:

(-2, 5/3)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0

2 years ago

A can of vegetables has radius 1.8 in and height 5.9 in. Find the volume of the can. use 3.14 for pi

nalin [4]

Answer:

The volume of cyclinder is 60 in³

Step-by-step explanation:

Using the formula of the volume of cyclinder, V = π×r²×h, where r is the radius and h is the height. Then you are able to find it by substituing the following value into the formula :

π = 3.14

r = 1.8 in

h = 5.9 in

V = 3.14×1.8²×5.9

= 60.0 in³ (3s.f)

5 0

4 years ago

Read 2 more answers

2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?

geniusboy [140]

Greetings!

"<span>2/3 of the baked chicken was left over. Michela ate 1/4 of the leftover chicken. How much of the whole chicken did Michela eat?"...

This can solved by multiplying the fraction by each other:

2/3*1/4
2*1=2
3*4=12
=2/12 or 1/6.

She 1/6 of the whole chicken.

Hope this helps.
-Benjamin

</span><span>
</span>

3 0

3 years ago

Read 2 more answers