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3 years ago

Simplify this 8(14m+64y)

Mathematics

2 answers:

OverLord2011 [107]3 years ago

5 0

Answer:

$\boxed{\bold{112m+512y}}$

Step By Step explanation:

[ Step One ] Apply Distributive Property

Note: Distributive Property: $\bold{\:a\left(b+c\right)=ab+ac}$

$\bold{a=8,\:b=14m,\:c=64y}$

$\bold{8\cdot \:14m+8\cdot \:64y}$

[ Step Two ] Simplify $\bold{8\cdot \:14m+8\cdot \:64y}$

$\bold{112m+512y}$

Colt1911 [192]3 years ago

3 0

You do 8 times 14m and get 112m and you multiply 8 times 64y to get 512. So your final answer is 112m+512y in standard form

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3 years ago

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5. A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are

Ad libitum [116K]

Answer: A) When all three ticket prices generate the same revenue.

Step-by-step explanation:

Reserved tickets cost $20 each.

Field-level tickets cost $50 each.

Seat tickets cost $100 each.

Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:

R(x) = x*$20

If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:

F(w) = w*$50

If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:

S(y) = y*$100

Those equations will intersect when:

R(x) = F(w) = S(y)

This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:

A) When all three ticket prices generate the same revenue.

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3 years ago

JaMarcus drank 11 eight-ounce glasses of water. How many quarts of water did he drink?

sasho [114]

He drank 2.75 quarts of water

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3 years ago

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1. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.2. State the vertical, horizontal asympto

Harman [31]

Answer:

1. $f(x)=x^{2}$ and $g(x)=-\sqrt{x}$

2. Vertical Asymptote: x=-4

Horizontal Asymptote: y=1

Zeros: (-2,0)

Because the graph will have a hole at x=-1. This is, the graph is not defined for that particular x-value.

3. $f(x)=x^{2}+4$

It has two complex roots, so there is no place in the graph where it crosses the x-axis.

Step-by-step explanation:

1. If we find the composite function f[g(x)] with the functions:

$f(x)=x^{2}$ and g(x)=-x, we will get the following:

$f[g(x)]=(-\sqrt{x})^{2}$

which simplifies to

f[g(x)]=x

on the other hand, if we find g[f(x)] we will get the following:

$g[f(x)]=-\sqrt{x^2}$

which simplifies to:

g[f(x)]=-x

Before finding the asymptotes, it's a good idea to factor both the numerator and denominator of the function, so we get:

$f(x)=\frac{x^{2}+3x+2}{x^{2}+5x+4}$

$f(x)=\frac{(x+2)(x+1)}{(x+4)(x+1)}$

we can now see that this function can be simplified. It is important to simplify this function so we don't confuse vertical asymptotes with holes in the graph, so when simplifying we get the following:

$f(x)=\frac{x+2}{x+4}$

now we can set the denominator equal to zero.

x+4=0

and solve for x:

x=-4 this is our vertical asymptote.

For the horizontal asymptote, there is a rule that tells us that if the polynomials on the numerator and denominator have the same degree (the same greatest power), then the horizontal asymptote is found by dividing the lead coefficient of the polynomial on the numerator by the lead coefficient on the denominator. In this case the lead coefficients are 1 and 1 so the horizontal asymptote is:

$y=\frac{1}{1}$

so the horizontal asymptote is at:

y=1.

The zeros of the function are located at the x-values that will turn the numerator of the simplified fraction equal to zero, so we get:

x+2=0

x=-2

so the only zero will be located at (-2,0)

x=-1 is not a zero because the original function is not defined for x=-1, there is a hole in the graph at this x-value.

Take a look at the graph of the function (See attached picture)

This will happen when there are no real zeros. Take for example the function:

$f(x)=x^{2}+4$

In this case this problem has 2 non-real zeros:

$x^{2}+4=0$

$x^{2}=-4$

$x=\sqrt{-4}$

so:

x=2i or x=-2i

since they are complex numbers they cannot be graphed on a coordinate axis, so the graph will not cross the x-axis. See attached picture.

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3 years ago

Eva earns $500 per month plus $3 for every sale she makes which inequality can she use to find how much she must sale to earn at

Tamiku [17]

Answer:

500 + 3(s) ≥ 1200

Step-by-step explanation:

Ok so the goal is to earn 1,200 / month

We know that she already earns 500/month

So lets do some subtraction

Because she needs to make ATLEAST 1,200, well use either ≤ or ≥

Lets call (s) the number of sales she makes

Lets form the inequality

500 + 3(s) ≥ 1200

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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3 years ago