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Sonbull [250]
2 years ago
6

This graph shows how the amount of tape Kurt has used is related to the number of presents he has wrapped.

Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

C 3 cm per present

Step-by-step explanation:

1 = 3cm

2 = 6cm

3 = 9cm

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It costs Guido $0.20 to send a text message from his cell phone. He has already spent $4 in text messages this month. If he has
In-s [12.5K]

The greatest number he can spend on is $5 since he has $10 he will have $5 reamining.

3 0
3 years ago
The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?
asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

\frac{21.8 miles}{1 gallon} = \frac{x miles}{16 gallons}

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0
2 years ago
Solve equation (n-1)(n+6)(n+5)=0
Vika [28.1K]
Answer:
1, -6 and -5 

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
The equation given is:
(n-1) (n+6) (n+5) = 0
This equation will be true if any of the terms (brackets) is equal to zero.
This means that:
either n-1 = 0 .............> n = 1
or n + 6 = 0 ................> n = -6
or n + 5 = 0 ................> n = -5

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Plz help me with a and b <br>who can answer in a minute
Irina18 [472]
(a) \frac{1}{4}
(b) The Road Tennis Court occupies \frac{1}{3} of the shaded portion.

I hope it helps! ;)
5 0
3 years ago
Read 2 more answers
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