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jek_recluse [69]
4 years ago
8

Samira ran around a park loop that was 1/3 mile long. She ran around the loop 9 times. Samira says she ran 9/3 miles. Her brothe

r says she ran 3 miles. Who is correct?
Use words and drawings to explain
Mathematics
1 answer:
Alisiya [41]4 years ago
7 0
They both are correct . 
 9/3 = 3 so its 3 miles 
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Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)
antoniya [11.8K]

Answer:  The required polynomial of lowest degree is p(x)=x^3-2x^2+25x-50

Step-by-step explanation:  We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50

Thus, the required polynomial of lowest degree is p(x)=x^3-2x^2+25x-50

4 0
4 years ago
Which formula can be used to describe the sequence below? –8, –5, –2, 1, 4, ...
makvit [3.9K]

Answer:

an = -8 +3(n-1)

an = -11 +3n

f(n) = -11 +3n

Step-by-step explanation:

–8, –5, –2, 1, 4, ...

This is an arithmetic sequence.

We are increasing by 3 each time

-8 +3 = -5

-5+3 = -2

-2 +3 = 1

The common difference is 3

The formula for an arithmetic sequence is

an = a1 +d (n-1)

an = -8 +3(n-1)

an = -8 +3n -3

an = -11 +3n

The nth term is -11 +3n

f(n) = -11 +3n

3 0
4 years ago
Read 2 more answers
Plz help me I will give u branist and like u back plz help me I will also follow u​
avanturin [10]
I’m pretty sure it’s 5000
8 0
3 years ago
Read 2 more answers
Find the surface area of the cylinder. Round to the nearest tenth.
OleMash [197]

Hello!

To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.

The formula for the surface area of a cylinder is SA = 2πrh + 2πr².

In this formula, r is the radius and h is the height.

In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.

In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.

SA = 2π(9)(6) + 2π(9)²

SA = 54(2π)  + 2(81π)

SA = 108π + 162π

SA = 270π

SA ≈ 848.2 m²

Therefore, the surface area of the given cylinder is choice A, 848.2 m².

5 0
3 years ago
A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driv
kodGreya [7K]
0.55m + 1.75 < = 10m > 2
8 0
4 years ago
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