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3 years ago

Write a linear inequality to represent the information given. The total fees for the high school play are

Mathematics

1 answer:

Alex Ar [27]3 years ago

3 0

Answer:

280 (less than or equal to) 5x + 9y

Step-by-step explanation:

X = students ($5 each)

Y = Non-students ($9 each)

This must add up to greater than( or equal to) $280 in order for taxes to be paid

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I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

---------------------------------------

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

--------------------------------------

$x = 6\\\\(x-6) = 0$

--------------------------------------

$P (x) = (2x + 5) (5x - 4) (x-6)$

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

--------------------------------------

$x = 1\\\\(x-1) = 0$

--------------------------------------

$x = 4\\\\(x-4) = 0$

----------------------------------------

$x = -1\\\\(x + 1) = 0$

-----------------------------------------

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

2 years ago

What are the answers

dlinn [17]

Answer:

See below

Step-by-step explanation:

The ratio of the secants is the same when set up as full length to external length.

Formula

MN/LN = QN/PN

Givens

LN = 22 + 14 = 36

MN = 14

PN = 32

QN = x

Solution

14/36 = x / (32) Multiply both sides by 32

14*32 / 36 = x Combine 14 and 32

448/36 = x Divide by 36 and switch

x = 12.4

Answers

PN (External) = 13 is the closest answer

Length LN = 36

6 0

3 years ago

Determine whether the graph table or equation represents a linear or nonlinear function explain

Anna [14]

<h3>Answer: Linear</h3>

Each time x goes up by 3, y goes up by 2. The rate of change is constant.

slope = (change in y)/(change in x) = 2/3

y intercept = 6 since this is where x = 0

The equation of this line is y = (2/3)x+6

5 0

3 years ago

What is the surface area of this shape? 1cm 5cm 2cm 3cm 6cm 4cm

larisa86 [58]

88 square centimeters

6 0

2 years ago

As a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200. Write an inequali

BARSIC [14]

The answer is D

You need to make at least $200 so that is greater then or = to. You subtract 92 from 200 which gives you 108. From there you take 108/4 which is 27

5 0

3 years ago