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Leona [35]
3 years ago
13

Which statements are true? Check all that apply.

Mathematics
2 answers:
k0ka [10]3 years ago
6 0

Answer:

A sphere has no faces && the lateral surface of a cylinder is in the shape of a rectangle when unrolled

Step-by-step explanation:

I got it right on edg

krok68 [10]3 years ago
5 0

Sample Response: A sphere has no faces && the lateral surface of a cylinder is in the shape of a rectangle when unrolled

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What is the completely factored form of f(x)=x^3+4x^2+7x+6?
Reptile [31]

we are given

f(x)=x^3+4x^2+7x+6

We will use rational root theorem to find factors

We can see that

Leading coefficient =1

constant term is 6

so, we will find all possible factors of 6

6=\pm 1,\pm 2,\pm 3,\pm 6

now, we will check each terms

At x=-2:

We can use synthetic division

we get

f(-2)=0

so, x+2 will be factor

and we can write our expression from synthetic division as

f(x)=x^3+4x^2+7x+6=(x+2)(x^2+2x+3)

f(x)=(x+2)(x^2+2x+3)

now, we can find factor of remaining terms

x^2+2x+3=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare our equation with quadratic equation

we get

a=1,b=2,c=3

now, we can plug these values

x=\frac{-2+\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1+\sqrt{2}i

x=\frac{-2-\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1-\sqrt{2}i

so, we get

x=-1+\sqrt{2}i,\:x=-1-\sqrt{2}i

so, we can write factor as

x^2+2x+3=(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))

so, we get completely factored form as

f(x)=(x+2)(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))...............Answer


7 0
3 years ago
If 5.9% of female population was diagnosed with diabetes what percentage was not diagnosed
svet-max [94.6K]

Answer: 94,1%

Step-by-step explanation:

The probability of people with diabetes:

P (Diabetes) = P(diagnosed women) + P (undiagnosed women)

1= 0,059 + P (undiagnosed women)

P (undiagnosed women)= 1-0,059= 0,941--> 0,941x100= 94,1%

7 0
2 years ago
Read 2 more answers
On a coordinate plane, how are the locations of the points (-4, -1) and (4, 1) related?
RUDIKE [14]

Answer:

c

Step-by-step explanation:

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2 years ago
PLEASE HELP ME I NEED ANSWERS FAST!!! No links plz
poizon [28]

Answer:

$220,000 I am pretty sure this is correct!

4 0
2 years ago
Brainliest n 15 Points
choli [55]
The answer would be 6.3, Three squared is nine and the missing side needs to equal 49. 6.3 squares and 3 squared will equal 49.
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3 years ago
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