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adell [148]
3 years ago
15

Which of the following is an inequality that represents the following scenario: Peter is at a local pizza shop. He wants to purc

hase pizza pies and breadsticks for a party. The cashier tells him that pizza pies are $10 each and breadsticks are $3 each. Peter cannot spend more than $100. Let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased.
Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer:

It's actually switched around, it is 10x + 3y ≤ 100.

djyliett [7]3 years ago
3 0
10y + 3x < = 100 <=== here ya go
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3 years ago
Solve the system of equations by graphing <br> Y=2<br> Y= 1/2x + 1
docker41 [41]

Answer:

(2,2)

Step-by-step explanation:

first graph the line y=2 (draw a horizontal line through 2 on the y-axis

then graph the line y=1/2x +1 ( plot the point (0,1) and then move up 1 and right 2 or down 1 left 2

then find the point that the lines intersect. That is the solution for the system

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4 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Alona [7]

Answer:

f(x) = x^3 +5x^2-4x-20

Step-by-step explanation:

Given

Zeros: -5,-2,2

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

f(x) = (x - a)(x - b)(x - c)

So, we have:

Zeros: -5,-2,2

f(x) = (x - (-5))(x - (-2))(x - 2)

Open the inner brackets

f(x) = (x +5)(x +2)(x - 2)

Expand the difference of two squares

f(x) = (x +5)(x^2 - 4)

Expand

f(x) = x^3 +5x^2-4x-20

4 0
3 years ago
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