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3 years ago

Find the factorization of the polynomial

Mathematics

1 answer:

makvit [3.9K]3 years ago

6 0

There is only one real root, at x=-2, so the polynomial describing this parabola has factors of (x+2) with multiplicity 2. The y-intercept tells you the vertical stretch is 1.

The factorization is y = (x +2)².

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an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

$r=\dfrac{30}{2}$

$r=15$

Area of a circle is:

$A=\pi r^2$

Putting $\pi = 3.14$ and $r=15$ in the above formula, we get

$A=(3.14)(15)^2$

$A=(3.14)(225)$

$A=706.5$

Therefore, the area of the hold is 706.5 square cm.

4 0

2 years ago

Jason's part-time job pays him $105 a week. If he has already saved $325, what is the minimum number of weeks he needs to work i

Art [367]

Jason's part-time job pays him $105 a week

He got an amount of 105 dollars per week

Thhe cost price of the Dit bike = $900

The saving amount he had = $325

So, The amount he require more is the difference in the cost price of the bike to the saving amount

Require amount = 900-325

Require Amount = $575

Since he get the $105 per week

We need to find the number of weeks to get an amount of $575

So, divide the total required amount by the amount in one week he get

$\begin{gathered} \text{ Number of w}eek\text{ =}\frac{Total\text{ Amount}}{Amount\text{ he get p}er\text{ week}} \\ \text{Number of w}eek\text{ =}\frac{575}{105} \\ \text{Number of w}eeks\text{ =}5.47 \\ \text{Number of we}eks\text{ }\approx6 \end{gathered}$

So, he neeed to wokr for 6 weeks to pay for the dirt bike

Answer : 6 weeks

8 0

10 months ago

Find the area of the circle. Leave your answer in terms of π.

seraphim [82]

Answer:

4π

Step-by-step explanation:

We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:

A = π * (r ^ 2)

where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:

r = d / 2 = 4/2

r = 2

replacing, we are left with:

A = π * (2 ^ 2)

A = 4π

Which means that the area of the circle is 4π

5 0

2 years ago

Write a ratio for the follow description : Kaleel made three times as many baskets as many baskets as john during basketball pra

Igoryamba

If you’re doing Kaleel to John (not the other way around), you could have 3:1, 3/1, or 3 to 1. Hope this helps!

5 0

3 years ago

60 is 150% of which number?

sweet [91]

Answer:

Step-by-step explanation:

5 0

3 years ago