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3 years ago

Please evaluate this

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

$y = 2 \: and \: x = 2.5$

y=2x-3

2=2

$y = 2x - 3 \\ y = |2 \times 2.5| - 3 \\ y = 5 - 3 \\ y = 2 \\$

And

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Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining

blsea [12.9K]

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

$m=(12-18)/(2-0)$

$m=(-6)/(2)=-\$3\ per\ movie$ ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented

The linear equation is equal to

$y=-3x+18$

For y=0

$0=-3x+18$

$x=6$

6 is the maximum number of movies that Elyse can rent on line

6 0

3 years ago

Form a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3

polet [3.4K]

The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is $x^3-3x^2-x+3=0$

Step-by-step explanation:

We need to find a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3.

If -1, 1 and 3 are real zeros, it can be written as:

x= -1, x= 1, and x = 3

or x+1=0, x-1=0 and x-3=0

Finding polynomial by multiply these factors:

$(x+1)(x-1)(x-3)=0\\(x+1)(x(x-3)-1(x-3))=0\\(x+1)(x^2-3x-x+3)=0\\(x+1)(x^2-4x+3)=0\\x(x^2-4x+3)+1(x^2-4x+3)=0\\x^3-4x^2+3x+x^2-4x+3=0\\Combining\,\,like\,\,terms:\\x^3-4x^2+x^2+3x-4x+3=0\\x^3-3x^2-x+3=0$

So, The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is $x^3-3x^2-x+3=0$

Keywords: Real zeros of Polynomials

Learn more about Real zeros of Polynomials at:

#learnwithBrainly

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3 years ago

What is the simplified form of i^3 O A. 1 O B.-i O c. i O D. -1

Anvisha [2.4K]

Answer:

Step-by-step explanation:

B because i² makes +1 and i=-1

so i³=-i

4 0

2 years ago

Read 2 more answers

What is the solution to −4x+5y=−12 x−6y=22

lara31 [8.8K]

Answer:

The solution to the system is S= (-2, -4).

Step-by-step explanation:

Given the system

−4x+5y=−12

x−6y=22

The first step is to solve x from the first equation for example, and substitute the expression in the second equation.

1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y

2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22

⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.

Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.

-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20

⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.

Summarizing, the solution to this system is S = (-2, -4).

7 0

2 years ago

What is the slope of the line graphed on the coordinate plane?

erica [24]

Answer:

$m=\frac{1}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-6, -1)

Point (6, 2)

Step 2: Find slope m

Substitute: $m=\frac{2+1}{6+6}$
Add: $m=\frac{3}{12}$
Simplify: $m=\frac{1}{4}$

6 0

2 years ago