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densk [106]
3 years ago
13

Find the GCF of -10c2d and 15cd2.

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

-5cd

Step-by-step explanation:

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A car drives with a constant speed of 20 km/h. How long will it take to travel a distance of 160 kilometers?
harkovskaia [24]

ANSWER:

We know that,

Speed = Distance/Time

So, Time taken = 20kmh-¹/160km

  • 1/8h or 7.5min.
5 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
Write the equation if the line that passes through (4,5) and has a slope of m=3
andrew11 [14]

Answer:

y = 3x - 7

Step-by-step explanation:

The <em>point-slope formula</em> for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

6 0
3 years ago
Please help me!!! math!!!
Genrish500 [490]
I think the answer is 17
6 0
3 years ago
A circle with area 3/2pi and central angle of 60 degrees. What is the area of the circle
Anika [276]

Answer:

28.28(simplified from 28.2743338834)

Step-by-step explanation:

area of sector= (center angle/360)*area of circle

we are already given the area of sector as 3/2pi

so

3/2pi=(60/360)*x

(x is area of circle)

3/2pi=4.71238898038

4.71238898038=1/6x

divide both sides by "1/6"

28.2743338834=x

hope this helps!

3 0
3 years ago
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