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zaharov [31]
2 years ago
7

If −1 is a zero of the polynomial p(x)=ax^3−x^2+x+4, find the value of a.

Mathematics
1 answer:
vitfil [10]2 years ago
8 0

Answer:

a = 2

Step-by-step explanation:

given x = - 1 is a zero then f(- 1) = 0 , that is

a(- 1)³ - (- 1)² - 1 + 4 = 0

- a - 1 - 1 + 4 = 0

- a + 2 = 0 ( subtract 2 from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

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If I equals √-1 what is the value of I³
ziro4ka [17]

Answer:

-I

Step-by-step explanation:

Given :

I= \sqrt{-1}

Now

I^{2} =-1

And I^{3} =-i

Answer will be -I

8 0
3 years ago
Suppose that 65% of all registered voters in a certain area favor a waiting period before the purchase of a handgun. Among 225 r
Vedmedyk [2.9K]

Answer:

B

Step-by-step explanation:

225 x 0.65 = 135

7 0
3 years ago
Pls help:Find all the missing elements:
Yuliya22 [10]

Answer:

<h3>B = 48.7° , C = 61.3° , b = 12</h3>

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

\frac{ |a|  }{ \sin(A) }  =  \frac{ |c| }{ \sin(C) }

From the question

a = 15

A = 70°

c = 14

So we have

\frac{15}{ \sin(70) }  =  \frac{14}{ \sin(C) }

\sin(C)  =  \frac{14 \sin(7 0 ) }{15}

C = \sin^{ - 1} (  \frac{14 \sin(70) }{15} )

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

\frac{ |a| }{ \sin(A) }  =  \frac{ |a| }{ \sin(B) }

\frac{15}{ \sin(70) }  =  \frac{ |b| }{ \sin(48.7) }

|b|  =  \frac{15 \sin(48.7) }{ \sin(70) }

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

6 0
4 years ago
Neeed Help ASAP Quick
Andrew [12]

Answer:

4; 7

Step-by-step explanation:

Small box = 25 and Large box = 50

small box = x and large box = x+3

25x+50(x+3)=450

25x+50x+150=450

75x=300

x=4

Large box = 4+3 = 7

Therefore, 4; 7

I hope this helped and have a good rest of your day!

3 0
3 years ago
4.06 Question 2
Rudiy27

Answer:

\large\boxed{C.\ 75 < x < 110\ and\ 0 < y\leq50}

Step-by-step explanation:

x - the temperature

y - the number of people

the temperature is between 75 degrees and 110 degrees:

75 < x < 110

the room for 50 people:

0 < y ≤ 50

4 0
3 years ago
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