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3 years ago

Can someone help me with these two

Mathematics

1 answer:

Leviafan [203]3 years ago

3 0

Answer: I believe it is D..

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

What is the measure of the arc from A to B that does not pass through C?

sergeinik [125]

Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.

<h3>What is the Inscribed Angle Theorem?</h3>

The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.

Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.

Measure of arc AC through point B = 180 degrees.

Arc AB = 180 - 80 = 100 degrees.

Learn more about the inscribed angle theorem on:

brainly.com/question/3538263

#SPJ1

3 0

2 years ago

Hey! i’ll give brainliest please help!

liq [111]

I think it’s the last one

3 0

3 years ago

Simplify this problem:: -6x + 3 3/4 + 14x - 3.25

Lynna [10]

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter

-6x + 3 3/4 + 14x - 3 1/4

rearrange to make it easier, don't need to do this i'm just doing this for the sake of it

-6x + 14x + 3 3/4 - 3 1/4

8x + 2/4, simplify this

8x + 1/2

The decimal way if u want:

-6x + 3 3/4 + 14x - 3.25

-6x + 3.75 + 14x - 3.25

-6x + 14x + 3.75 - 3.25

8x + 0.5

6 0

3 years ago

The ratio of boys and teacher in a school is 2:3 the ratio of teachers to the girls is 4:5.Find the ratio of all the three in a

Scorpion4ik [409]

Answer:

Step-by-step explanation:

2:3 boy:teacher 8:12

4:5 teacher:girl 12:15

8:12:15 boy:teacher:girl

7 0

3 years ago