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2 years ago

Which of the following graphs is a polynomial function with x-intercepts of (-3,0)(-1,0), and (2,0)?

2 answers:

7 0

The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.

Mila [183]2 years ago

3 0

Answer:

Step-by-step explanation:

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Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y

Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y

Finding a value for x:

7x=-67-11y -> x = $-\frac{67}{7}$ - $\frac{11y}{7}$

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y

[Plug-in] 5( $-\frac{67}{7}$ - $\frac{11y}{7}$ ) = -73 -11y

[Distribute the 5] $-\frac{335}{7}$ - $\frac{55y}{7}$ = -73 -11y

[Multiply by 7] 7 ( $-\frac{335}{7}$ - $\frac{55y}{7}$ ) = (-73 -11y) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0

3 years ago

A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card be

densk [106]

Answer:

Discrete; number of Months after the first year; amount remaining on the card.

Step-by-step explanation:

The value of the card strictly loses $2.50/month after the first year of purchase. This means that the values can only be $22.50, $20, etc. If it were continuous, it would lose an amount that led up to $2.50, meaning that you could have values such as $23.48 and $24.07. We cannot have these values, therefore the relationship is discrete.

As time passes, the amount of money in the card changes. As the amount of money in the card depends on the number of months, we can say that the number of months is the independent variable while the amount of money on the card is the dependent variable.

Hope this helps.

8 0

3 years ago

Read 2 more answers

How do you solve 418.6 divided by 80.5 using long division

nataly862011 [7]

You would write the 80.5 on the outside 418.6 on the inside. You can't divide by a decimal so you have to move the decimal point as many times as you need to on the outside number. You only have to move it over once in the80.5 so it is now 805. You do the same thing to the inside so it it is 4186. You are now dividing 4186 by 805. The answer is 5.2

3 0

3 years ago

What are the coordinates of the point on the directed line segment from (-2, 9)(−2,9) to (-1, -4)(−1,−4) that partitions the seg

skelet666 [1.2K]

Answer:

Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is

$P(x,y)=(-\dfrac{8}{5},\dfrac{19}{5})$

Step-by-step explanation:

Given:

Let point P divides Segment AB in the ratio 2 : 3

point A( x₁ , y₁) ≡ ( -2 , 9 )

point B( x₂ , y₂) ≡ ( -1 , -4 )

m : n = 2 : 3

To Find:

P( x, y ) = ?

Solution:

Ia a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

$x=\dfrac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\dfrac{(my_{2} +ny_{1}) }{(m+n)}\\\\$

Substituting the values we get

$x=\dfrac{(2(-1) +3(-2))}{(2+3)}\\ \\and\\\\y=\dfrac{(2(-4) +3(9)) }{(2+3)}\\\\$

$x=\dfrac{-8}{5}\\ \\and\\\\y=\dfrac{19}{5}\\\\$

Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is

$P(x,y)=(-\dfrac{8}{5},\dfrac{19}{5})$

7 0

3 years ago

Which number sentence is true?A.-1.5 + (-0.5) = 2.0B.2.5 + (-1.5) = 1.0C.-1.5 + (-0.5) = -1.0D.-2.5 + 3.5 = -1.0

Anni [7]

Answer: B

Step-by-step explanation: the other ones are wrong.

4 0

3 years ago

Which of the following graphs is a polynomial function with x-intercepts of (-3,0)(-1,0), and (2,0)?​

Which of the following graphs is a polynomial function with x-intercepts of (-3,0)(-1,0), and (2,0)?